1
|
Yang Z, Wu J, Li K, Zhou X, Lu D, Zhang L. Sliding Dynamics of a Small Charged Ring Chain on the Diblock Polyelectrolyte in Poly[2]catenane in the Presence of Counterions. J Phys Chem B 2023; 127:10189-10200. [PMID: 37734004 DOI: 10.1021/acs.jpcb.3c04107] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 09/23/2023]
Abstract
In this study, we investigate the sliding dynamics of small charged ring chains along the rigid central cyclic diblock polyelectrolyte of AnBn in radial charged poly[2]catenane in the presence of counterions using molecular dynamics simulations and the Lifson-Jackson formula, and our aim is to study the effects of electrostatical interaction strength, the size of the charged small ring chain, and the rigid block length of the diblock polyelectrolyte on the sliding dynamics of a small ring chain threaded on the rigid diblock polyelectrolyte. The mean-square displacement g3(t) of a small ring chain sliding along the rigid diblock polyelectrolyte of A10B10 exhibits oscillating behavior at short time scales for the moderate electrostatical interaction strength, while for the weak or strong electrostatic interactions, it is normal subdiffusion at short time scales. For n = 1, the diffusion coefficient D of the small ring chain sliding along the rigid diblock polyelectrolyte of A1B1 decreases monotonically as the relative electrostatic interaction strength A increases from A = 0.25-4. However, for n ≠ 1, the diffusion coefficient D of the small ring chain sliding along the rigid diblock polyelectrolyte of AnBn first decreases and then increases with the increase of A, and the nonmonotonous relationship between D and A becomes more obvious for larger n. In view of the free energy potential, the sliding diffusion of a small ring chain is governed by both the width of the free energy potential well and the height of the free energy potential barrier. According to the potential of mean force (PMF) of the small ring chain sliding along the rigid diblock polyelectrolyte, we find that our results are in good agreement with the theoretical analysis using the Lifson-Jackson formula. These results may help us to understand the diffusion motion of a ring chain in radial poly[n]catenanes from a fundamental point of view and control the sliding dynamics in molecular designs.
Collapse
Affiliation(s)
- Zhiyong Yang
- Department of Physics, Jiangxi Agricultural University, Nanchang 330045, China
| | - Jiaxin Wu
- Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - Ke Li
- College of Electronic and Information Engineering, Shanghai University of Electric Power, Shanghai 200090, China
| | - Xiaolin Zhou
- College of Physics and Optoelectronic Engineering, Harbin Engineering University, Harbin 150001, China
| | - Dan Lu
- Department of Physics, Jiangxi Agricultural University, Nanchang 330045, China
| | - Linxi Zhang
- Department of Physics, Zhejiang University, Hangzhou 310027, China
| |
Collapse
|
2
|
Lang M, Müller T. On the Reference Size of Chains in a Network and the Shear Modulus of Unentangled Networks Made of Real Chains. Macromolecules 2022. [DOI: 10.1021/acs.macromol.2c00660] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Michael Lang
- Institut Theorie der Polymere, Leibniz Institut für Polymerforschung Dresden, Hohe Straße 6, 01069 Dresden, Germany
| | - Toni Müller
- Institut Theorie der Polymere, Leibniz Institut für Polymerforschung Dresden, Hohe Straße 6, 01069 Dresden, Germany
- Institut für Theoretische Physik, Technische Universität Dresden, Zellescher Weg 17, 01069 Dresden, Germany
| |
Collapse
|
3
|
Müller T, Sommer JU, Lang M. Elasticity of Tendomer Gels. Macromolecules 2022. [DOI: 10.1021/acs.macromol.2c01229] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Toni Müller
- Technische Universität Dresden, 01069 Dresden, Germany
| | | | - Michael Lang
- Leibniz-Institut für Polymerforschung Dresden e. V., Hohe Straße 6, 01069 Dresden, Germany
| |
Collapse
|
4
|
Lang M, Scholz R, Löser L, Bunk C, Fribiczer N, Seiffert S, Böhme F, Saalwächter K. Swelling and Residual Bond Orientations of Polymer Model Gels: The Entanglement-Free Limit. Macromolecules 2022. [DOI: 10.1021/acs.macromol.2c00589] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Michael Lang
- Leibniz Institut für Polymerforschung, Hohe Straße 6, 01069 Dresden, Germany
| | - Reinhard Scholz
- Leibniz Institut für Polymerforschung, Hohe Straße 6, 01069 Dresden, Germany
| | - Lucas Löser
- Martin-Luther Universität Halle-Wittenberg, Institute of Physics − NMR Group, Betty-Heimann-Straße 7, D-06120 Halle/Saale, Germany
| | - Carolin Bunk
- Leibniz Institut für Polymerforschung, Hohe Straße 6, 01069 Dresden, Germany
- Organic Chemistry of Polymers, Technische Universität Dresden, 01062 Dresden, Germany
| | - Nora Fribiczer
- Johannes Gutenberg University Mainz, Department of Chemistry, Duesbergweg 10−14, D-55128 Mainz, Germany
| | - Sebastian Seiffert
- Johannes Gutenberg University Mainz, Department of Chemistry, Duesbergweg 10−14, D-55128 Mainz, Germany
| | - Frank Böhme
- Leibniz Institut für Polymerforschung, Hohe Straße 6, 01069 Dresden, Germany
| | - Kay Saalwächter
- Martin-Luther Universität Halle-Wittenberg, Institute of Physics − NMR Group, Betty-Heimann-Straße 7, D-06120 Halle/Saale, Germany
| |
Collapse
|
5
|
Characterization of Monte Carlo Dynamic/Kinetic Properties of Local Structure in Bond Fluctuation Model of Polymer System. MATERIALS 2021; 14:ma14174962. [PMID: 34501051 PMCID: PMC8433752 DOI: 10.3390/ma14174962] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/21/2021] [Revised: 08/19/2021] [Accepted: 08/25/2021] [Indexed: 11/19/2022]
Abstract
We report the results of the characterization of local Monte Carlo (MC) dynamics of an equilibrium bond fluctuation model polymer matrix (BFM), in time interval typical for MC simulations of non-linear optical phenomena in host-guest systems. The study contributes to the physical picture of the dynamical aspects of quasi-binary mosaic states characterized previously in the static regime. The polymer dynamics was studied at three temperatures (below, above and close to the glass transition), using time-dependent generalization of the static parameters which characterize local free volume and local mobility of the matrix. Those parameters play the central role in the kinetic MC model of host-guest systems. The analysis was done in terms of the probability distributions of instantaneous and time-averaged local parameters. The main result is the characterization of time scales characteristic of various local structural processes. Slowing down effects close to the glass transition are clearly marked. The approach yields an elegant geometric criterion for the glass transition temperature. A simplified quantitative physical picture of the dynamics of guest molecules dispersed in BFM matrix at low temperatures offers a starting point for stochastic modeling of host-guest systems.
Collapse
|
6
|
Dikshit K, Bruns CJ. Post-synthesis modification of slide-ring gels for thermal and mechanical reconfiguration. SOFT MATTER 2021; 17:5248-5257. [PMID: 33949424 DOI: 10.1039/d0sm02260h] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
Ring-sliding behavior in polyrotaxanes imbues gels, elastomers, and glasses with remarkable stress-dissipation and actuation properties. Since these properties can be modulated and tuned by structural parameters, many efforts have been devoted to developing synthetic protocols that define the structures and properties of slide-ring materials. We introduce post-synthetic modifications of slide-ring gels derived from unmodified α-cyclodextrin and poly(ethylene glycol) polyrotaxanes that enable (i) actuation and control of the thermo-responsive lower critical solution temperature (LCST) behavior of ring-modified slide-ring hydrogels, and (ii) chemically bonding separate gels into hybrid or shape-reconfigured macro-structures with a slide-ring adhesive solution. The mechanical properties of the post-modified gels have been characterized by shear rheology and uniaxial tensile tests, while the corresponding xerogels were characterized by wide-angle X-ray scattering. These demonstrations show that post-synthetic modification offers a practical solution for re-configuring the properties and shapes of slide-ring gels.
Collapse
Affiliation(s)
- Karan Dikshit
- Materials Science and Engineering Program, University of Colorado Boulder, Boulder, Colorado 80309, USA
| | | |
Collapse
|
7
|
Affiliation(s)
- Toni Müller
- Technical University Dresden, 01069 Dresden, Germany
- Leibniz Institute of Polymer Research Dresden, Hohe Str. 6, 01069 Dresden, Germany
| | - Jens-Uwe Sommer
- Technical University Dresden, 01069 Dresden, Germany
- Leibniz Institute of Polymer Research Dresden, Hohe Str. 6, 01069 Dresden, Germany
| | - Michael Lang
- Leibniz Institute of Polymer Research Dresden, Hohe Str. 6, 01069 Dresden, Germany
| |
Collapse
|
8
|
Mitus AC, Saphiannikova M, Radosz W, Toshchevikov V, Pawlik G. Modeling of Nonlinear Optical Phenomena in Host-Guest Systems Using Bond Fluctuation Monte Carlo Model: A Review. MATERIALS (BASEL, SWITZERLAND) 2021; 14:1454. [PMID: 33809785 PMCID: PMC8002275 DOI: 10.3390/ma14061454] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 01/21/2021] [Revised: 03/05/2021] [Accepted: 03/08/2021] [Indexed: 12/14/2022]
Abstract
We review the results of Monte Carlo studies of chosen nonlinear optical effects in host-guest systems, using methods based on the bond-fluctuation model (BFM) for a polymer matrix. In particular, we simulate the inscription of various types of diffraction gratings in degenerate two wave mixing (DTWM) experiments (surface relief gratings (SRG), gratings in polymers doped with azo-dye molecules and gratings in biopolymers), poling effects (electric field poling of dipolar molecules and all-optical poling) and photomechanical effect. All these processes are characterized in terms of parameters measured in experiments, such as diffraction efficiency, nonlinear susceptibilities, density profiles or loading parameters. Local free volume in the BFM matrix, characterized by probabilistic distributions and correlation functions, displays a complex mosaic-like structure of scale-free clusters, which are thought to be responsible for heterogeneous dynamics of nonlinear optical processes. The photoinduced dynamics of single azopolymer chains, studied in two and three dimensions, displays complex sub-diffusive, diffusive and super-diffusive dynamical regimes. A directly related mathematical model of SRG inscription, based on the continuous time random walk (CTRW) formalism, is formulated and studied. Theoretical part of the review is devoted to the justification of the a priori assumptions made in the BFM modeling of photoinduced motion of the azo-polymer chains.
Collapse
Affiliation(s)
- Antoni C. Mitus
- Department of Theoretical Physics, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland; (A.C.M.); (W.R.)
| | - Marina Saphiannikova
- Leibniz-Institut für Polymerforschung Dresden e.V., Hohe Strasse 6, 01069 Dresden, Germany;
| | - Wojciech Radosz
- Department of Theoretical Physics, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland; (A.C.M.); (W.R.)
| | - Vladimir Toshchevikov
- Institute of Macromolecular Compounds, Russian Academy of Sciences, Bolshoi Prospect 31, 199004 Saint Petersburg, Russia;
| | - Grzegorz Pawlik
- Department of Theoretical Physics, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland; (A.C.M.); (W.R.)
| |
Collapse
|
9
|
Yasuda Y, Masumoto T, Mayumi K, Toda M, Yokoyama H, Morita H, Ito K. Molecular Dynamics Simulation and Theoretical Model of Elasticity in Slide-Ring Gels. ACS Macro Lett 2020; 9:1280-1285. [PMID: 35638618 DOI: 10.1021/acsmacrolett.0c00194] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
In this study, molecular dynamics (MD) simulations were carried out on the uniaxial deformation of slide-ring (SR) networks with slidable cross-links to understand the relationship between the sliding of the cross-linking points and the Young's moduli of SR gels, which are lower than those of covalently cross-linked gels with the same cross-linking densities. The slidability of the cross-links in SR gels was characterized by the rate of change of the segment number between the cross-links, Nslide, estimated by the MD simulation. We have successfully constructed a molecular model for the elasticity of SR gels and proposed a simple equation for the Young's moduli of SR gels as a function of Nslide. The theoretical model was compared with the MD simulation results and experimental data.
Collapse
Affiliation(s)
- Yusuke Yasuda
- Material Innovation Research Center (MIRC) and Department of Advanced Materials Science, Graduate School of Frontier Sciences, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8561, Japan
| | - Takeyoshi Masumoto
- Department of Applied Chemistry, Graduate School of Engineering, The University of Tokyo, Bunkyo-ku, Tokyo 113-8654, Japan
| | - Koichi Mayumi
- Material Innovation Research Center (MIRC) and Department of Advanced Materials Science, Graduate School of Frontier Sciences, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8561, Japan.,AIST-UTokyo Advanced Operando-Measurement Technology Open Innovation Laboratory (OPERANDO-OIL), National Institute of Advanced Industrial Science and Technology (AIST), 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8561, Japan.,Department of Applied Chemistry, Graduate School of Engineering, The University of Tokyo, Bunkyo-ku, Tokyo 113-8654, Japan
| | - Masatoshi Toda
- National Institute of Advanced Industrial Science and Technology (AIST), 1-1-1, Umezono, Tsukuba, Ibaraki 305-8568, Japan
| | - Hideaki Yokoyama
- Material Innovation Research Center (MIRC) and Department of Advanced Materials Science, Graduate School of Frontier Sciences, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8561, Japan.,Department of Applied Chemistry, Graduate School of Engineering, The University of Tokyo, Bunkyo-ku, Tokyo 113-8654, Japan
| | - Hiroshi Morita
- National Institute of Advanced Industrial Science and Technology (AIST), 1-1-1, Umezono, Tsukuba, Ibaraki 305-8568, Japan
| | - Kohzo Ito
- Material Innovation Research Center (MIRC) and Department of Advanced Materials Science, Graduate School of Frontier Sciences, The University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba 277-8561, Japan.,Department of Applied Chemistry, Graduate School of Engineering, The University of Tokyo, Bunkyo-ku, Tokyo 113-8654, Japan
| |
Collapse
|
10
|
|
11
|
Lang M, Müller T. Analysis of the Gel Point of Polymer Model Networks by Computer Simulations. Macromolecules 2020. [DOI: 10.1021/acs.macromol.9b02217] [Citation(s) in RCA: 26] [Impact Index Per Article: 6.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Affiliation(s)
- M. Lang
- Leibniz Institut für Polymerforschung Dresden, Hohe Straße 6, 01069 Dresden, Germany
| | - T. Müller
- Leibniz Institut für Polymerforschung Dresden, Hohe Straße 6, 01069 Dresden, Germany
| |
Collapse
|