1
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Schneck C, Smrek J, Likos CN, Zöttl A. Supercoiled ring polymers under shear flow. NANOSCALE 2024. [PMID: 38639709 DOI: 10.1039/d3nr04258h] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/20/2024]
Abstract
We apply monomer-resolved computer simulations of supercoiled ring polymers under shear, taking full account of the hydrodynamic interactions, accompanied, in parallel, by simulations in which these are switched off. The combination of bending and torsional rigidities inherent in these polymers, in conjunction with hydrodynamics, has a profound impact on their flow properties. In contrast to their flexible counterparts, which dramatically deform and inflate under shear [Liebetreu et al., Commun. Mater. 2020, 1, 4], supercoiled rings undergo only weak changes in their overall shape and they display both a reduced propensity to tumbling (at fixed Weissenberg number) and a much stronger orientational resistance with respect to their flexible counterparts. In the presence of hydrodynamic interactions, the coupling of the polymer to solvent flow is capable of bringing about a topological transformation of writhe to twist at strong shear upon conservation of the overall linking number.
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Affiliation(s)
- Christoph Schneck
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria.
- Centro de Física de Materiales (CSIC, UPV/EHU) and Materials Physics Center MPC, Paseo Manuel de Lardizabal 5, 20018 San Sebastián, Spain
| | - Jan Smrek
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria.
| | - Christos N Likos
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria.
| | - Andreas Zöttl
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria.
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2
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Farimani RA, Ahmadian Dehaghani Z, Likos CN, Ejtehadi MR. Effects of Linking Topology on the Shear Response of Connected Ring Polymers: Catenanes and Bonded Rings Flow Differently. PHYSICAL REVIEW LETTERS 2024; 132:148101. [PMID: 38640389 DOI: 10.1103/physrevlett.132.148101] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/14/2023] [Revised: 10/09/2023] [Accepted: 02/15/2024] [Indexed: 04/21/2024]
Abstract
We perform computer simulations of mechanically linked (poly[2]catenanes, PC) and chemically bonded (bonded rings, BR) pairs of self-avoiding ring polymers in steady shear. We find that BRs develop a novel motif, termed gradient tumbling, rotating around the gradient axis. For the PCs the rings are stretched and display another new pattern, termed slip tumbling. The dynamics of BRs is continuous and oscillatory, whereas that of PCs is intermittent between slip-tumbling attempts. Our findings demonstrate the interplay between topology and hydrodynamics in dilute solutions of connected polymers.
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Affiliation(s)
- Reyhaneh A Farimani
- Department of Physics, Sharif University of Technology, Tehran, Iran
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria
| | | | - Christos N Likos
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria
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3
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Walker DW, Sing CE. Effect of Hydrodynamic Interactions and Flow on Charge Transport in Redox-Active Polymer Solutions. J Phys Chem B 2024; 128:1796-1811. [PMID: 38330099 DOI: 10.1021/acs.jpcb.3c07657] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/10/2024]
Abstract
Redox-active polymers (RAPs) are a subclass of polyelectrolytes that can store charge and undergo redox self-exchange reactions. RAPs are of great interest in the field of redox flow batteries (RFBs) due to their ability to quickly charge and discharge, their chemical modularity, and their molecular size. However, designing RAPs for efficient charge transport at the molecular level requires a fundamental understanding of the charge transport mechanisms that occur in RFBs. Previous work from our group has explored these mechanisms, and in this paper, we seek to improve upon the previous model by incorporating both hydrodynamic interactions (HIs) and out-of-equilibrium dynamics, which are both highly pertinent to flow battery systems. We use a hybrid Brownian dynamics and Monte Carlo simulation to model redox-active polymer chains in both dilute and semidilute solutions. This model is used to show that HI is an important feature when charge hopping is not the major mechanism for charge displacement and leads to more rapid segmental and translational motion of polymer chains that expedites charge transport at low polymer concentrations. We demonstrate that strong extensional flows may result in either enhanced or decreased transport depending on the fraction of charges present on the RAP chain. We show that flow not only can promote charge transport by extending polymer conformations but can also suppress nonadjacent charge hopping processes that are important for transport at high charge fractions. Shear flows can similarly enhance charge transport through chain extension, but tumbling dynamics lead to oscillatory displacements that become dominant features with high charge fractions and strong flows.
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Affiliation(s)
- Dejuante W Walker
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, United States
| | - Charles E Sing
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, United States
- Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, United States
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4
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Nguyen AH, Kania S, Oztekin A, Webb EB. Predicting reaction behavior of tethered polymers in shear flow. J Chem Phys 2023; 159:174907. [PMID: 37929865 DOI: 10.1063/5.0168440] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/18/2023] [Accepted: 10/17/2023] [Indexed: 11/07/2023] Open
Abstract
Kinetics of force-mediated chemical reactions of end-tethered polymers with varying chain length N in varying shear rate flow γ̇ are explored via coarse-grained Brownian dynamics simulations. At fixed γ̇, force F along a polymer increases linearly with N as previously predicted; however, contrary to existing theory, the F(N) slope increases for N above a transition length that exhibits minimal dependence on γ̇. Force profiles are used in a stochastic model of a force-mediated reaction to compute the time for x percent of a polymer population to experience a reaction, tx. Observations are insensitive to the selected value of x in that tx data for varying N and γ̇ can be consistently collapsed onto a single curve via appropriate scaling, with one master curve for systems below the transition N (small N) and another for those above (large N). Different force scaling for small and large N results in orders of magnitude difference in force-mediated reaction kinetics as represented by the population response time. Data presented illustrate the possibility of designing mechano-reactive polymer populations with highly controlled response to flow across a range in γ̇.
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Affiliation(s)
- Anh Hung Nguyen
- Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pennsylvania 18015, USA
| | - Sagar Kania
- Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pennsylvania 18015, USA
| | - Alparslan Oztekin
- Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pennsylvania 18015, USA
| | - Edmund B Webb
- Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pennsylvania 18015, USA
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5
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Tu M, Davydovich O, Mei B, Singh PK, Grest GS, Schweizer KS, O’Connor TC, Schroeder CM. Unexpected Slow Relaxation Dynamics in Pure Ring Polymers Arise from Intermolecular Interactions. ACS POLYMERS AU 2023; 3:307-317. [PMID: 37576713 PMCID: PMC10416323 DOI: 10.1021/acspolymersau.2c00069] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/12/2022] [Revised: 02/28/2023] [Accepted: 03/01/2023] [Indexed: 04/03/2023]
Abstract
Ring polymers have fascinated scientists for decades, but experimental progress has been challenging due to the presence of linear chain contaminants that fundamentally alter dynamics. In this work, we report the unexpected slow stress relaxation behavior of concentrated ring polymers that arises due to ring-ring interactions and ring packing structure. Topologically pure, high molecular weight ring polymers are prepared without linear chain contaminants using cyclic poly(phthalaldehyde) (cPPA), a metastable polymer chemistry that rapidly depolymerizes from free ends at ambient temperatures. Linear viscoelastic measurements of highly concentrated cPPA show slow, non-power-law stress relaxation dynamics despite the lack of linear chain contaminants. Experiments are complemented by molecular dynamics (MD) simulations of unprecedentedly high molecular weight rings, which clearly show non-power-law stress relaxation in good agreement with experiments. MD simulations reveal substantial ring-ring interpenetrations upon increasing ring molecular weight or local backbone stiffness, despite the global collapsed nature of single ring conformation. A recently proposed microscopic theory for unconcatenated rings provides a qualitative physical mechanism associated with the emergence of strong inter-ring caging which slows down center-of-mass diffusion and long wavelength intramolecular relaxation modes originating from ring-ring interpenetrations, governed by the onset variable N/ND, where the crossover degree of polymerization ND is qualitatively predicted by theory. Our work overcomes challenges in achieving ring polymer purity and by characterizing dynamics for high molecular weight ring polymers. Overall, these results provide a new understanding of ring polymer physics.
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Affiliation(s)
- Michael
Q. Tu
- Department of Chemical and Biomolecular Engineering, Beckman Institute for Advanced Science
and Technology, Department of Chemistry, Department of Materials Science and Engineering and Materials Research
Laboratory, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
| | - Oleg Davydovich
- Department of Chemical and Biomolecular Engineering, Beckman Institute for Advanced Science
and Technology, Department of Chemistry, Department of Materials Science and Engineering and Materials Research
Laboratory, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
| | - Baicheng Mei
- Department of Chemical and Biomolecular Engineering, Beckman Institute for Advanced Science
and Technology, Department of Chemistry, Department of Materials Science and Engineering and Materials Research
Laboratory, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
| | - Piyush K. Singh
- Department of Chemical and Biomolecular Engineering, Beckman Institute for Advanced Science
and Technology, Department of Chemistry, Department of Materials Science and Engineering and Materials Research
Laboratory, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
| | - Gary S. Grest
- Sandia
National Laboratories, Albuquerque, New Mexico 87185, United States
| | - Kenneth S. Schweizer
- Department of Chemical and Biomolecular Engineering, Beckman Institute for Advanced Science
and Technology, Department of Chemistry, Department of Materials Science and Engineering and Materials Research
Laboratory, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
| | - Thomas C. O’Connor
- Department
of Materials Science and Engineering, Carnegie
Mellon University, Pittsburgh, Pennsylvania 15213, United States
| | - Charles M. Schroeder
- Department of Chemical and Biomolecular Engineering, Beckman Institute for Advanced Science
and Technology, Department of Chemistry, Department of Materials Science and Engineering and Materials Research
Laboratory, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
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6
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Abstract
The force- and flow-induced translocation processes of linear and ring polymers are studied using a combination of multiparticle collision dynamics and molecular dynamics, focusing on the behavior of the polymer translocation time. We compare the force- and flow-induced translocations of linear and ring polymers. It is found that when the translocation time (τ*) is characterized by scaling exponents, δ, δ', and α, via the relations τ* ∼ fδNα and τ* ∼ Jδ'Nα, the scaling exponents are not constants. For long chains tested, α = 1.0 for both force- and flow-induced translocations. The difference between the force- and flow-induced translocations stems from different monomer crowding effects due to distinct flow patterns outside the channel. Furthermore, general relations for polymer translocation time are derived for these two translocation processes, which are in good agreement with the simulation results. Our results provide clear molecular pictures for the force- and flow-induced translocations, which shed light on the understanding of translocation dynamics and provide guidance for practical applications such as molecular sequencing and ultrafiltration.
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Affiliation(s)
- Yuyuan Lu
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P.R. China
- University of Chinese Academy of Sciences, Beijing 100049, P.R. China
| | - Zhenhua Wang
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P.R. China
| | - Lijia An
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P.R. China
- University of Chinese Academy of Sciences, Beijing 100049, P.R. China
| | - An-Chang Shi
- Department of Physics and Astronomy, McMaster University, Hamilton, Ontario L8S 4M1, Canada
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7
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Jeong SH, Ha TY, Cho S, Roh EJ, Kim JM, Baig C. Melt Rheology of Short-Chain Branched Ring Polymers in Shear Flow. Macromolecules 2021. [DOI: 10.1021/acs.macromol.1c01727] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Seung Heum Jeong
- School of Energy and Chemical Engineering, Ulsan National Institute of Science and Technology (UNIST), UNIST-gil 50, Ulsan 44919, South Korea
| | - Tae Yong Ha
- School of Energy and Chemical Engineering, Ulsan National Institute of Science and Technology (UNIST), UNIST-gil 50, Ulsan 44919, South Korea
| | - Soowon Cho
- School of Energy and Chemical Engineering, Ulsan National Institute of Science and Technology (UNIST), UNIST-gil 50, Ulsan 44919, South Korea
| | - Eun Jung Roh
- KOLON Advanced Research Cluster, KOLON One & Only Tower, 110, Magokdong-ro, Gangseo-gu, Seoul 07793, South Korea
| | - Jun Mo Kim
- Department of Chemical Engineering, Kyonggi University, 154-42 Gwanggyosan-ro, Yeongtong-gu, Suwon 16227, Kyeonggi-do, South Korea
| | - Chunggi Baig
- School of Energy and Chemical Engineering, Ulsan National Institute of Science and Technology (UNIST), UNIST-gil 50, Ulsan 44919, South Korea
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8
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Nguyen AH, Kania S, Cheng X, Oztekin A, Zhang XF, Webb EB. Unraveling Kinetics of Collapsed Polymers in Extensional Flow. Macromolecules 2021. [DOI: 10.1021/acs.macromol.1c00849] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Affiliation(s)
- Anh H. Nguyen
- Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pennsylvania 18015, United States
| | - Sagar Kania
- Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pennsylvania 18015, United States
| | - Xuanhong Cheng
- Department of Material Science and Engineering, Lehigh University, Bethlehem, Pennsylvania 18015, United States
| | - Alparslan Oztekin
- Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pennsylvania 18015, United States
| | - X. Frank Zhang
- Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pennsylvania 18015, United States
- Department of Bioengineering, Lehigh University, Bethlehem, Pennsylvania 18015, United States
| | - Edmund B. Webb
- Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, Pennsylvania 18015, United States
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9
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Parisi D, Kaliva M, Costanzo S, Huang Q, Lutz PJ, Ahn J, Chang T, Rubinstein M, Vlassopoulos D. Nonlinear rheometry of entangled polymeric rings and ring-linear blends. JOURNAL OF RHEOLOGY 2021; 65:695-711. [PMID: 35250122 PMCID: PMC8896906 DOI: 10.1122/8.0000186] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/04/2020] [Accepted: 05/06/2021] [Indexed: 06/14/2023]
Abstract
We present a comprehensive experimental rheological dataset for purified entangled ring polystyrenes and their blends with linear chains in nonlinear shear and elongation. In particular, data for shear stress growth coefficient, steady-state shear viscosity, and first and second normal stress differences are obtained and discussed as functions of shear rate as well as molecular parameters (molar mass, blend composition and decreasing molar mass of linear component in blend). Over the extended parameter range investigated, rings do not exhibit clear transient undershoot in shear, in contrast to their linear counterparts and ring-linear blends. For the latter, the size of the undershoot and respective strain appear to increase with shear rate. Universal scaling of strain at overshoot and fractional overshoot (ratio of maximum to steady-state shear stress growth coefficient) indicates subtle differences in the shear-rate dependence between rings and linear polymers or their blends. The shear thinning behaviour of pure rings yields a slope nearly identical to predictions (-4/7) of a recent shear slit model and molecular dynamics simulations. Data for the second normal stress difference are reported for rings and ring-linear blends. While N 2 is negative and its absolute value stays below that of N 1 , as for linear polymers, the ratio -N 2 /N 1 is unambiguously larger for rings compared to linear polymer solutions with the same number of entanglements (almost by factor of two), in agreement with recent non-equilibrium molecular dynamics simulations. Further, -N 2 exhibits slightly weaker shear rate dependence compared to N 1 at high rates, and the respective power-law exponents can be rationalized in view of the slit model (3/7) and simulations (0.6), although further work is needed to unravel the molecular original of the observed behaviour. The comparison of shear and elongational stress growth coefficients for blends reflects the effect of ring-linear threading which leads to significant viscosity enhancement in elongation. Along the same lines, the elongational stress is much larger than the first normal stress in shear, and their ratio is much larger for rings and ring-linear blends compared to linear polymers. This conforms the interlocking scenario of rings and their important role in mechanically reinforcing linear matrices.
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Affiliation(s)
- Daniele Parisi
- Institute of Electronic Structure & Laser, Foundation for Research and Technology Hellas (FORTH), Heraklion, Crete 70013, Greece
- Department of Materials Science & Technology, University of Crete, Heraklion, Crete 71003, Greece
| | - Maria Kaliva
- Institute of Electronic Structure & Laser, Foundation for Research and Technology Hellas (FORTH), Heraklion, Crete 70013, Greece
- Department of Materials Science & Technology, University of Crete, Heraklion, Crete 71003, Greece
| | - Salvatore Costanzo
- Department of Chemical, Materials, and Production Engineering, Federico II University, 80125 Naples, Italy
| | - Qian Huang
- Department of Chemical and Biochemical Engineering, Technical University of Denmark 2800 Kgs. Lyngby, Denmark
| | - Pierre J Lutz
- Institut Charles Sadron, CNRS UPR 22, University of Strasbourg, 67034, Strasbourg, France
| | - Junyoung Ahn
- Division of Advanced Materials Science and Department of Chemistry, Pohang University of Science & Technology, Pohang 37673, Korea
| | - Taihyun Chang
- Division of Advanced Materials Science and Department of Chemistry, Pohang University of Science & Technology, Pohang 37673, Korea
| | - Michael Rubinstein
- Departments of Mechanical Engineering and Materials Science, Biomedical Engineering, Chemistry, and Physics, Duke University, Durham, NC 27708, USA
| | - Dimitris Vlassopoulos
- Institute of Electronic Structure & Laser, Foundation for Research and Technology Hellas (FORTH), Heraklion, Crete 70013, Greece
- Department of Materials Science & Technology, University of Crete, Heraklion, Crete 71003, Greece
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10
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Jeong SH, Cho S, Roh EJ, Ha TY, Kim JM, Baig C. Intrinsic Surface Characteristics and Dynamic Mechanisms of Ring Polymers in Solution and Melt under Shear Flow. Macromolecules 2020. [DOI: 10.1021/acs.macromol.0c01866] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Seung Heum Jeong
- School of Energy and Chemical Engineering, Ulsan National Institute of Science and Technology (UNIST), UNIST-gil 50, Ulsan 44919, South Korea
| | - Soowon Cho
- School of Energy and Chemical Engineering, Ulsan National Institute of Science and Technology (UNIST), UNIST-gil 50, Ulsan 44919, South Korea
| | - Eun Jung Roh
- School of Energy and Chemical Engineering, Ulsan National Institute of Science and Technology (UNIST), UNIST-gil 50, Ulsan 44919, South Korea
| | - Tae Yong Ha
- School of Energy and Chemical Engineering, Ulsan National Institute of Science and Technology (UNIST), UNIST-gil 50, Ulsan 44919, South Korea
| | - Jun Mo Kim
- Department of Chemical Engineering, Kyonggi University, 154-42 Gwanggyosan-ro, Yeongtong-gu, Suwon 16227, Kyeonggi-do, South Korea
| | - Chunggi Baig
- School of Energy and Chemical Engineering, Ulsan National Institute of Science and Technology (UNIST), UNIST-gil 50, Ulsan 44919, South Korea
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11
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Jaramillo-Cano D, Camargo M, Likos CN, Gârlea IC. Dynamical Properties of Concentrated Suspensions of Block Copolymer Stars in Shear Flow. Macromolecules 2020; 53:10015-10027. [PMID: 33335338 PMCID: PMC7735753 DOI: 10.1021/acs.macromol.0c01365] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/10/2020] [Revised: 10/02/2020] [Indexed: 01/19/2023]
Abstract
Block copolymer stars (BCSs) have been demonstrated to constitute versatile, self-assembling building blocks with tunable softness, functionalization, and shape. We investigate the dynamical properties of suspensions of short-arm BCSs under linear shear flow by means of extensive particle-based multiscale simulations. We determine the properties of the system for representative values of monomer packing fraction ranging from semidilute to concentrate regimes. We systematically analyze the formed network structures as a function of both shear rate and packing fraction, the reorganization of solvophobic patches, and the corresponding radial correlation functions. Connecting our findings with rheology, we calculate the viscosity as a function of shear rate and discuss the implications of the found shear thinning behavior.
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Affiliation(s)
- Diego Jaramillo-Cano
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria
| | - Manuel Camargo
- CICBA & FIMEB, Universidad Antonio Nariño, 760030 Cali, Colombia
| | - Christos N. Likos
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria
| | - Ioana C. Gârlea
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria
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12
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Tu MQ, Lee M, Robertson-Anderson RM, Schroeder CM. Direct Observation of Ring Polymer Dynamics in the Flow-Gradient Plane of Shear Flow. Macromolecules 2020. [DOI: 10.1021/acs.macromol.0c01362] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Affiliation(s)
- Michael Q. Tu
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
- Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
| | - Megan Lee
- Department of Physics and Biophysics, University of San Diego, San Diego, California 92110, United States
| | - Rae M. Robertson-Anderson
- Department of Physics and Biophysics, University of San Diego, San Diego, California 92110, United States
| | - Charles M. Schroeder
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
- Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
- Department of Materials Science and Engineering, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
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13
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Rauscher PM, Rowan SJ, de Pablo JJ. Hydrodynamic interactions in topologically linked ring polymers. Phys Rev E 2020; 102:032502. [PMID: 33076028 DOI: 10.1103/physreve.102.032502] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/15/2020] [Accepted: 08/21/2020] [Indexed: 11/07/2022]
Abstract
Despite decades of interdisciplinary research on topologically linked ring polymers, their dynamics remain largely unstudied. These systems represent a major scientific challenge as they are often subject to both topological and hydrodynamic interactions (HI), which render dynamical solutions either mathematically intractable or computationally prohibitive. Here we circumvent these limitations by preaveraging the HI of linked rings. We show that the symmetry of ring polymers leads to a hydrodynamic decoupling of ring dynamics. This decoupling is valid even for nonideal polymers and nonequilibrium conditions. Physically, our findings suggest that the effects of topology and HI are nearly independent and do not act cooperatively to influence polymer dynamics. We use this result to develop highly efficient Brownian dynamics algorithms that offer enormous performance improvements over conventional methods and apply these algorithms to simulate catenated ring polymers at equilibrium, confirming the independence of topological effects and HI. The methods developed here can be used to study and simulate large systems of linked rings with HI, including kinetoplast DNA, Olympic gels, and poly[n]catenanes.
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Affiliation(s)
- Phillip M Rauscher
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA
| | - Stuart J Rowan
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA.,Department of Chemistry, University of Chicago, Chicago, Illinois 60637, USA.,Chemical Sciences and Engineering Division, Argonne National Laboratory, Lemont, Illinois 60439, USA.,Center for Molecular Engineering, Argonne National Laboratory, Lemont, Illinois 60439, USA
| | - Juan J de Pablo
- Pritzker School of Molecular Engineering, University of Chicago, Chicago, Illinois 60637, USA.,Center for Molecular Engineering, Argonne National Laboratory, Lemont, Illinois 60439, USA.,Materials Science Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
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14
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Alexiou TS, Alatas PV, Tsalikis DG, Mavrantzas VG. Conformational and Dynamic Properties of Short DNA Minicircles in Aqueous Solution from Atomistic Molecular Dynamics Simulations. Macromolecules 2020. [DOI: 10.1021/acs.macromol.0c00821] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Terpsichori S. Alexiou
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
| | - Panagiotis V. Alatas
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
| | - Dimitrios G. Tsalikis
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
| | - Vlasis G. Mavrantzas
- Department of Chemical Engineering, University of Patras & FORTH-ICE/HT, Patras, GR 26504, Greece
- Department of Mechanical and Process Engineering, Particle Technology Laboratory, ETH Zürich, CH-8092 Zürich, Switzerland
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15
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Tsalikis DG, Mavrantzas VG. Size and Diffusivity of Polymer Rings in Linear Polymer Matrices: The Key Role of Threading Events. Macromolecules 2020. [DOI: 10.1021/acs.macromol.9b02099] [Citation(s) in RCA: 20] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Affiliation(s)
- Dimitrios G. Tsalikis
- Department of Chemical Engineering, University of Patras and FORTH-ICE/HT, GR 26504 Patras, Greece
| | - Vlasis G. Mavrantzas
- Department of Chemical Engineering, University of Patras and FORTH-ICE/HT, GR 26504 Patras, Greece
- Particle Technology Laboratory, Department of Mechanical and Process Engineering, ETH Zürich, CH-8092 Zürich, Switzerland
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16
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Wang Z, Zhai Q, Chen W, Wang X, Lu Y, An L. Mechanism of Nonmonotonic Increase in Polymer Size: Comparison between Linear and Ring Chains at High Shear Rates. Macromolecules 2019. [DOI: 10.1021/acs.macromol.9b00809] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Affiliation(s)
- Zhenhua Wang
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P. R. China
- University of Science and Technology of China, Hefei 230026, P. R. China
| | - Qilong Zhai
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P. R. China
- School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China
| | - Wei Chen
- School of Chemistry and Chemical Engineering, Nanjing National Laboratory of Microstructures, Nanjing University, Nanjing 210093, P. R. China
| | - Xiaoliang Wang
- School of Chemistry and Chemical Engineering, Nanjing National Laboratory of Microstructures, Nanjing University, Nanjing 210093, P. R. China
| | - Yuyuan Lu
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P. R. China
| | - Lijia An
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, P. R. China
- University of Science and Technology of China, Hefei 230026, P. R. China
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17
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Weiss LB, Likos CN, Nikoubashman A. Spatial Demixing of Ring and Chain Polymers in Pressure-Driven Flow. Macromolecules 2019. [DOI: 10.1021/acs.macromol.9b01629] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Affiliation(s)
- Lisa B. Weiss
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria
| | - Christos N. Likos
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria
| | - Arash Nikoubashman
- Institute of Physics, Johannes Gutenberg University Mainz, Staudingerweg 7, 55128 Mainz, Germany
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18
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Young CD, Sing CE. Simulation of semidilute polymer solutions in planar extensional flow via conformationally averaged Brownian noise. J Chem Phys 2019; 151:124907. [PMID: 31575212 DOI: 10.1063/1.5122811] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The dynamics and rheology of semidilute polymer solutions in strong flows are of great practical relevance. Processing applications can in principle be designed utilizing the relationship between nonequilibrium polymer conformations and the material properties of the solution. However, the interplay between concentration, flow, hydrodynamic interactions (HIs), and topological interactions which govern semidilute polymer dynamics is challenging to characterize. Brownian dynamics (BD) simulations are particularly valuable as a way to directly visualize how molecular interactions arise in these systems and are quantitatively comparable to single-molecule experiments. However, such simulations are often computationally intractable and are limited by the need to calculate the correlated Brownian noise via decomposition of the diffusion tensor. Previously, we have introduced an iterative conformational averaging (CA) method for BD simulations which bypasses these limitations by preaveraging the HI and Brownian noise in an iterative procedure. In this work, we generalize the CA method to flowing semidilute solutions by introducing a conformation dependent diffusion tensor and a strain dependent approximation to the conformationally averaged Brownian noise. We find that this approach nearly quantitatively reproduces both transient and steady state polymer dynamics and rheology while achieving an order of magnitude computational acceleration. We then utilize the CA method to investigate the concentration and flow rate dependence of polymer dynamics in planar extensional flows. Our results are consistent with previous experimental and simulation studies and provide a detailed view of broad conformational distributions in the semidilute regime. We observe interconversion between stretched and coiled states at steady state, which we conjecture occur due to the effect of concentration on the conformation dependent polymer drag. Additionally, we observe transient flow-induced intermolecular hooks in the startup of flow which lead to diverse and unique stretching pathways.
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Affiliation(s)
- Charles D Young
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
| | - Charles E Sing
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
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19
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Handa M, Biswas P. Orientational relaxation of ring polymers in dilute solutions. SOFT MATTER 2019; 15:5896-5907. [PMID: 31271404 DOI: 10.1039/c9sm00640k] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
The segmental relaxation dynamics of ring polymers in dilute solutions is investigated via optimized Rouse-Zimm theory. To the best of our knowledge, this is the first study that characterizes the orientational relaxation dynamics of ring polymers in dilute solutions. The orientational time autocorrelation functions are governed by two major processes that span a broad range of timescales: (i) local segmental motion at short times, independent of the ring size, and (ii) overall motion of the ring at long times that depends on the limiting ring size. Smaller rings relax faster than larger rings and their respective linear analogues. The hydrodynamic interactions decrease the higher relaxation rates corresponding to the local relaxation modes and increase the smaller relaxation rates which correspond to the collective relaxation modes. The spectral density is independent of frequency in the low frequency regime while it decreases with increasing frequency. Regardless of the ring size, the spin-lattice relaxation rate exhibits a single characteristic maximum as a function of frequency that shifts to a lower value with increasing strength of hydrodynamic interactions.
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Affiliation(s)
- Manisha Handa
- Department of Chemistry, University of Delhi, Delhi-110007, India.
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20
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Young CD, Qian JR, Marvin M, Sing CE. Ring polymer dynamics and tumbling-stretch transitions in planar mixed flows. Phys Rev E 2019; 99:062502. [PMID: 31330603 DOI: 10.1103/physreve.99.062502] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/11/2019] [Indexed: 06/10/2023]
Abstract
The properties of dilute polymer solutions are governed by the conformational dynamics of individual polymers which can be perturbed in the presence of an applied flow. Much of our understanding of dilute solutions comes from studying how flows manipulate the molecular features of polymer chains out of equilibrium, primarily focusing on linear polymer chains. Recently there has been an emerging interest in the dynamics of nonlinear architectures, particularly ring polymers, which exhibit surprising out-of-equilibrium dynamics in dilute solutions. In particular, it has been observed that hydrodynamics can couple to topology in planar elongational and shear flows, driving molecular expansion in the nonflow direction that is not observed for linear chains. In this paper, we extend our understanding of dilute ring polymer dynamics to mixed flows, which represent flow profiles intermediate between simple shear or planar elongation. We map the conformational behaviors at a number of flow geometries and strengths, demonstrating transitions between coiled, tumbling, and stretched regimes. Indeed, these observations are consistent with how linear chains respond to mixed flows. For both linear and ring polymers, we observe a marked first-order-like transition between tumbling and stretched polymers that we attribute to a dynamic energy barrier between the two states. This manifests as bimodal extension distributions in a narrow range of flow strengths and geometries, with the primary difference between rings and linear chains being the presence of molecular expansion in the vorticity direction.
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Affiliation(s)
- Charles D Young
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
| | - June R Qian
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
| | | | - Charles E Sing
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
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21
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Weiss LB, Marenda M, Micheletti C, Likos CN. Hydrodynamics and Filtering of Knotted Ring Polymers in Nanochannels. Macromolecules 2019. [DOI: 10.1021/acs.macromol.9b00516] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022]
Affiliation(s)
- Lisa B. Weiss
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria
| | - Mattia Marenda
- SISSA, International School of Advanced Studies, via Bonomea 265, I-34136 Trieste, Italy
- MRC Institute of Genetics and Molecular Medicine, University of Edinburgh, Crewe Road, Edinburgh EH4 2XU, U.K
| | - Cristian Micheletti
- SISSA, International School of Advanced Studies, via Bonomea 265, I-34136 Trieste, Italy
| | - Christos N. Likos
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria
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22
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Zhou Y, Hsiao KW, Regan KE, Kong D, McKenna GB, Robertson-Anderson RM, Schroeder CM. Effect of molecular architecture on ring polymer dynamics in semidilute linear polymer solutions. Nat Commun 2019; 10:1753. [PMID: 30988290 PMCID: PMC6465312 DOI: 10.1038/s41467-019-09627-7] [Citation(s) in RCA: 41] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/27/2018] [Accepted: 03/11/2019] [Indexed: 11/09/2022] Open
Abstract
Understanding the dynamics of ring polymers is a particularly challenging yet interesting problem in soft materials. Despite recent progress, a complete understanding of the nonequilibrium behavior of ring polymers has not yet been achieved. In this work, we directly observe the flow dynamics of DNA-based rings in semidilute linear polymer solutions using single molecule techniques. Our results reveal strikingly large conformational fluctuations of rings in extensional flow long after the initial transient stretching process has terminated, which is observed even at extremely low concentrations (0.025 c*) of linear polymers in the background solution. The magnitudes and characteristic timescales of ring conformational fluctuations are determined as functions of flow strength and polymer concentration. Our results suggest that ring conformational fluctuations arise due to transient threading of linear polymers through open ring chains stretching in flow.
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Affiliation(s)
- Yuecheng Zhou
- Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA
- Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA
| | - Kai-Wen Hsiao
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA
| | - Kathryn E Regan
- Department of Physics, University of San Diego, San Diego, CA, 92110, USA
| | - Dejie Kong
- Department of Chemical Engineering, Texas Tech University, Lubbock, TX, 79409, USA
| | - Gregory B McKenna
- Department of Chemical Engineering, Texas Tech University, Lubbock, TX, 79409, USA
| | | | - Charles M Schroeder
- Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA.
- Beckman Institute for Advanced Science and Technology, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA.
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, 61801, USA.
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23
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Iubini S, Orlandini E, Michieletto D, Baiesi M. Topological Sieving of Rings According to Their Rigidity. ACS Macro Lett 2018; 7:1408-1412. [PMID: 35651235 DOI: 10.1021/acsmacrolett.8b00719] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
Abstract
We present a novel mechanism for resolving the mechanical rigidity of nanoscopic circular polymers that flow in a complex environment. The emergence of a regime of negative differential mobility induced by topological interactions between the rings and the substrate is the key mechanism for selective sieving of circular polymers with distinct flexibilities. A simple model accurately describes the sieving process observed in molecular dynamics simulations and yields experimentally verifiable analytical predictions, which can be used as a reference guide for improving filtration procedures of circular filaments. The topological sieving mechanism we propose ought to be relevant also in probing the microscopic details of complex substrates.
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Affiliation(s)
- Stefano Iubini
- Department of Physics and Astronomy, University of Padova, Via Marzolo 8, I-35131 Padova, Italy
| | - Enzo Orlandini
- Department of Physics and Astronomy, University of Padova, Via Marzolo 8, I-35131 Padova, Italy
- INFN, Sezione di Padova, Via Marzolo 8, I-35131 Padova, Italy
| | - Davide Michieletto
- School of Physics and Astronomy, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh EH9 3FD, U.K
| | - Marco Baiesi
- Department of Physics and Astronomy, University of Padova, Via Marzolo 8, I-35131 Padova, Italy
- INFN, Sezione di Padova, Via Marzolo 8, I-35131 Padova, Italy
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24
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Young CD, Marvin M, Sing CE. Conformationally averaged iterative Brownian dynamics simulations of semidilute polymer solutions. J Chem Phys 2018; 149:174904. [DOI: 10.1063/1.5041453] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Charles D. Young
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
| | | | - Charles E. Sing
- Department of Chemical and Biomolecular Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA
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25
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Liebetreu M, Ripoll M, Likos CN. Trefoil Knot Hydrodynamic Delocalization on Sheared Ring Polymers. ACS Macro Lett 2018; 7:447-452. [PMID: 35619341 DOI: 10.1021/acsmacrolett.8b00059] [Citation(s) in RCA: 34] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
Abstract
The behavior of unknotted and trefoil-knotted ring polymers under shear flow is here examined by means of mesoscopic simulations. In contrast to most polymers, ring polymers in a hydrodynamic solvent at high shear rates do not get shortened in the vorticity direction. This is a consequence of the backflow produced by the interaction of the sheared solvent with the end-free polymer topology. The extended structures of the ring in the vorticity-flow plane, when they are aligned in a constant velocity plane, favor ring contour fluctuations. This variety of conformations largely suppresses the tank-treading type of rotation with extended conformations in favor of the tumbling type of rotations, where stretched and collapsed conformations alternate. The extension of trefoil knots is also enhanced, so that the knots become delocalized. We anticipate that these effects, which disappear in the absence of hydrodynamic interactions, will have a crucial impact on the rheological properties of concentrated ring solutions, and will also influence the behavior of more complicated systems such as mixtures of polymers with different topologies.
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Affiliation(s)
- Maximilian Liebetreu
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria
| | - Marisol Ripoll
- Forschungszentrum Jülich, Institute of Complex Systems, Theoretical Soft Matter and Biophysics, 52425 Jülich, Germany
| | - Christos N. Likos
- Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria
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26
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Mai DJ, Saadat A, Khomami B, Schroeder CM. Stretching Dynamics of Single Comb Polymers in Extensional Flow. Macromolecules 2018. [DOI: 10.1021/acs.macromol.7b02759] [Citation(s) in RCA: 21] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Affiliation(s)
- Danielle J. Mai
- Department
of Chemical and Biomolecular Engineering, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
| | - Amir Saadat
- Material
Research and Innovation Laboratory,
Department of Chemical and Biomolecular Engineering, University of Tennessee, Knoxville, Tennessee 37996, United States
| | - Bamin Khomami
- Material
Research and Innovation Laboratory,
Department of Chemical and Biomolecular Engineering, University of Tennessee, Knoxville, Tennessee 37996, United States
| | - Charles M. Schroeder
- Department
of Chemical and Biomolecular Engineering, University of Illinois at Urbana−Champaign, Urbana, Illinois 61801, United States
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27
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Hossain MD, Reid JC, Lu D, Jia Z, Searles DJ, Monteiro MJ. Influence of Constraints within a Cyclic Polymer on Solution Properties. Biomacromolecules 2018; 19:616-625. [DOI: 10.1021/acs.biomac.7b01690] [Citation(s) in RCA: 24] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Affiliation(s)
- Md. D. Hossain
- Australian
Institute for Bioengineering and Nanotechnology, The University of Queensland, Brisbane Queensland 4072, Australia
| | - James C. Reid
- Australian
Institute for Bioengineering and Nanotechnology, The University of Queensland, Brisbane Queensland 4072, Australia
| | - Derong Lu
- Australian
Institute for Bioengineering and Nanotechnology, The University of Queensland, Brisbane Queensland 4072, Australia
| | - Zhongfan Jia
- Australian
Institute for Bioengineering and Nanotechnology, The University of Queensland, Brisbane Queensland 4072, Australia
| | - Debra J. Searles
- Australian
Institute for Bioengineering and Nanotechnology, The University of Queensland, Brisbane Queensland 4072, Australia
- School
of Chemical and Molecular Biosciences, The University of Queensland, Brisbane, Queensland 4072, Australia
| | - Michael J. Monteiro
- Australian
Institute for Bioengineering and Nanotechnology, The University of Queensland, Brisbane Queensland 4072, Australia
- School
of Chemical and Molecular Biosciences, The University of Queensland, Brisbane, Queensland 4072, Australia
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28
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Wang J, Ferguson AL. A Study of the Morphology, Dynamics, and Folding Pathways of Ring Polymers with Supramolecular Topological Constraints Using Molecular Simulation and Nonlinear Manifold Learning. Macromolecules 2018. [DOI: 10.1021/acs.macromol.7b01684] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Affiliation(s)
- Jiang Wang
- Department
of Physics, ‡Department of Materials Science and Engineering, and §Department of
Chemical and Biomolecular Engineering, University of Illinois Urbana−Champaign, Urbana, Illinois 61801, United States
| | - Andrew L. Ferguson
- Department
of Physics, ‡Department of Materials Science and Engineering, and §Department of
Chemical and Biomolecular Engineering, University of Illinois Urbana−Champaign, Urbana, Illinois 61801, United States
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29
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Weiss LB, Nikoubashman A, Likos CN. Topology-Sensitive Microfluidic Filter for Polymers of Varying Stiffness. ACS Macro Lett 2017; 6:1426-1431. [PMID: 35650806 DOI: 10.1021/acsmacrolett.7b00768] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Abstract
The separation of polymers based on their size, rigidity, and topology is an essential but also highly challenging task for nanoscience and engineering. Using hybrid molecular dynamics simulations that correctly take into account hydrodynamics, we have designed microfluidic channels for separating linear from ring polymers in dilute solutions. We establish that the transport velocity of the polymers is independent of their topology and rigidity when the channel walls are smooth and repulsive. However, when the walls are decorated with attractive spots arranged on lines parallel to the flow, ring polymers exhibit an order of magnitude higher transport velocity compared to linear chains. The spots induce a homeotropic-like reorientation of ring polymers close to walls leading to a tank treading motion along them, whereas linear chains are immobilized upon adsorption. This mechanism becomes more enhanced with increasing polymer rigidity. The presented technique holds thus promise for reliably separating nanoparticles based on their topology.
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Affiliation(s)
- Lisa B. Weiss
- Faculty
of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria
| | - Arash Nikoubashman
- Institute
of Physics, Johannes Gutenberg University Mainz, Staudingerweg
7, 55128 Mainz, Germany
| | - Christos N. Likos
- Faculty
of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria
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30
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Sablić J, Delgado-Buscalioni R, Praprotnik M. Application of the Eckart frame to soft matter: rotation of star polymers under shear flow. SOFT MATTER 2017; 13:6988-7000. [PMID: 28902209 DOI: 10.1039/c7sm00616k] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
The Eckart co-rotating frame is used to analyze the dynamics of star polymers under shear flow, either in melt or solution and with different types of bonds. This formalism is compared with the standard approach used in many previous studies on polymer dynamics, where an apparent angular velocity ω is obtained from the relation between the tensor of inertia and angular momentum. A common mistake is to interpret ω as the molecular rotation frequency, which is only valid for rigid-body rotation. The Eckart frame, originally formulated to analyze the infrared spectra of small molecules, dissects different kinds of displacements: vibrations without angular momentum, pure rotation, and vibrational angular momentum (leading to a Coriolis cross-term). The Eckart frame co-rotates with the molecule with an angular frequency Ω obtained from the Eckart condition for minimal coupling between rotation and vibration. The standard and Eckart approaches are compared with a straight description of the star's dynamics taken from the time autocorrelation of the monomer positions moving around the molecule's center of mass. This is an underdamped oscillatory signal, which can be described by a rotation frequency ωR and a decorrelation rate Γ. We consistently find that Ω coincides with ωR, which determines the characteristic tank-treading rotation of the star. By contrast, the apparent angular velocity ω < Ω does not discern between pure rotation and molecular vibrations. We believe that the Eckart frame will be useful to unveil the dynamics of semiflexible molecules where rotation and deformations are entangled, including tumbling, tank-treading motions and breathing modes.
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Affiliation(s)
- Jurij Sablić
- Department of Molecular Modeling, National Institute of Chemistry, Hajdrihova 19, SI-1001 Ljubljana, Slovenia.
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31
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Miao L, Young CD, Sing CE. An iterative method for hydrodynamic interactions in Brownian dynamics simulations of polymer dynamics. J Chem Phys 2017; 147:024904. [DOI: 10.1063/1.4993218] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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32
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Chen W, Zhang K, Liu L, Chen J, Li Y, An L. Conformation and Dynamics of Individual Star in Shear Flow and Comparison with Linear and Ring Polymers. Macromolecules 2017. [DOI: 10.1021/acs.macromol.6b02636] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023]
Affiliation(s)
| | - Kexin Zhang
- School
of Environmental Science, Northeast Normal University, 5268 Renmin
Street, Changchun, P. R. China 130024
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33
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