1
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Gao L, Hu Q, Gao X, Tang X, Peng L, Chen K, Zhang H. Micromorphology reformation of regenerated cellulose nanofibers from corn (Zea Mays) stalk pith in urea solution with high-speed shear induced. Int J Biol Macromol 2024; 267:131592. [PMID: 38621571 DOI: 10.1016/j.ijbiomac.2024.131592] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/19/2023] [Revised: 03/15/2024] [Accepted: 04/12/2024] [Indexed: 04/17/2024]
Abstract
Nanocellulose is a kind of renewable natural polymer material with high specific surface area, high crystallinity, and strong mechanical properties. RC nanofibers (RCNFs) have attracted an increasing attention in various applications due to their high aspect ratio and good flexibility. Herein, a novel and facile strategy for RCNFs preparation with high-speed shear induced in urea solution through "bottom-up" approach was proposed in this work. Results indicated that the average diameter and yield of RCNF was approach to 136.67 nm and 53.3 %, respectively. Meanwhile, due to the regular orientation RC chains and arrangement micro-morphology, RCNFs exhibited high crystallinity, strong mechanical properties, stable thermal degradation performance, and excellent UV resistance. In this study, a novel regeneration process with high-speed shear induced was developed to produce RCNFs with excellent properties. This study paved a strategy for future low-energy production of nanofibers and high value-added conversion applications of agricultural waste.
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Affiliation(s)
- Linlin Gao
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
| | - Qiuyue Hu
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
| | - Xin Gao
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China; Ningbo Institute of Materials Technology and Engineering, CAS, Ningbo 315201, Zhejiang, China.
| | - Xiaoning Tang
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
| | - Lincai Peng
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
| | - Keli Chen
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
| | - Heng Zhang
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China.
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2
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Zhang H, Hu Q, Si T, Tang X, Shan S, Gao X, Peng L, Chen K. All-cellulose air filter composed with regenerated nanocellulose prepared through a facile method with shear-induced. Int J Biol Macromol 2023; 228:548-558. [PMID: 36423811 DOI: 10.1016/j.ijbiomac.2022.11.095] [Citation(s) in RCA: 2] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/25/2022] [Revised: 10/31/2022] [Accepted: 11/09/2022] [Indexed: 11/23/2022]
Abstract
High-speed shear system is usually used for the dispersion improvement of slurry, nanomaterials preparation, and even two-dimensional materials production. However, there is barely study that focused on the regenerated cellulose (RC) which was coagulated with shear induced. In this work, a new type of all-cellulose air filter was fabricated through high-speed shear in aqueous regeneration system using parenchyma cellulose from corn stalk. The obtained RC were aggregated by ribbon-like fine cellulose and nanocellulose sheets. The study exhibited the micro-structure of RC displayed excellent unidirectional alignment and a relatively high crystallinity. All-cellulose air filter which was produced via RC presented excellent filtration efficiency (PM2.5 97.3 %, PM10.0 97.7 %) with slightly pressure drop (19 Pa). Therefore, this work provides a facile method to obtain a novel RC with nanocellulose particles used for air filtration, which gives an effective strategy application in the conversion of all-cellulose materials from agricultural waste.
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Affiliation(s)
- Heng Zhang
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
| | - Qiuyue Hu
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
| | - Tian Si
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
| | - Xiaoning Tang
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
| | - Shaoyun Shan
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
| | - Xin Gao
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China; Ningbo Institute of Materials Technology and Engineering, CAS, Ningbo 315201, Zhejiang, China.
| | - Lincai Peng
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China.
| | - Keli Chen
- Faculty of Chemical Engineering, Kunming University of Science and Technology, Kunming 650500, Yunnan, China
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3
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Zheng Y, Tsige M, Wang SQ. Molecular Dynamics Simulation of Entangled Melts at High Rates: Identifying Entanglement Lockup Mechanism Leading to True Strain Hardening. Macromol Rapid Commun 2023; 44:e2200159. [PMID: 35881534 DOI: 10.1002/marc.202200159] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/20/2022] [Revised: 06/20/2022] [Indexed: 01/11/2023]
Abstract
In the present work, molecular dynamics simulations are carried out based on the bead-spring model to indicate how the entanglement lockup manifests in the late stage of fast Rouse-Weissnberg number (WiR >>1) uniaxial melt stretching of entangled polymer melts. At high strains, distinct features show up to reveal the emergence of an increasingly tightened entanglement network. Chain tension can build up, peaking at the middle of the chain, to a level for chain scission, through accumulated interchain interactions, as if there is a tug-of-war ongoing for each load-bearing chain. Thanks to the interchain uncrossability, network junctions form by the pairing of two or more hairpins. It is hypothesized that the interchain entanglement at junctions can lockup through prevailing twist-like interchain couplings as long as WiR > 9. In this limit, a significant fraction of chains act like cyclic chains to form a network held by interchain uncrossability, and appreciable chain tension emerges.
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Affiliation(s)
- Yexin Zheng
- School of Polymer Science and Polymer Engineering, University of Akron, Akron, OH, 44325, USA
| | - Mesfin Tsige
- School of Polymer Science and Polymer Engineering, University of Akron, Akron, OH, 44325, USA
| | - Shi-Qing Wang
- School of Polymer Science and Polymer Engineering, University of Akron, Akron, OH, 44325, USA
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4
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Shen Z, Carrillo JMY, Sumpter BG, Wang Y. Fingerprinting Brownian Motions of Polymers under Flow. PHYSICAL REVIEW LETTERS 2022; 129:057801. [PMID: 35960564 DOI: 10.1103/physrevlett.129.057801] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/07/2022] [Accepted: 07/08/2022] [Indexed: 06/15/2023]
Abstract
We present a quantitative approach to the self-dynamics of polymers under steady flow by employing a set of complementary reference frames and extending the spherical harmonic expansion technique to dynamic density correlations. Application of this method to nonequilibrium molecular dynamics simulations of polymer melts reveals a number of universal features. For both unentangled and entangled melts, the center-of-mass motions in the flow frame are described by superdiffusive, anisotropic Gaussian distributions, whereas the isotropic component of monomer self-dynamics in the center-of-mass frame is strongly suppressed. Spatial correlation analysis shows that the heterogeneity of monomer self-dynamics increases significantly under flow.
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Affiliation(s)
- Zhiqiang Shen
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Jan-Michael Y Carrillo
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Bobby G Sumpter
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Yangyang Wang
- Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
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5
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Chen W, Kong X, Wei Q, Chen H, Liu J, Jiang D. Compression and Stretching of Confined Linear and Ring Polymers by Applying Force. Polymers (Basel) 2021; 13:polym13234193. [PMID: 34883696 PMCID: PMC8659573 DOI: 10.3390/polym13234193] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/21/2021] [Revised: 11/17/2021] [Accepted: 11/19/2021] [Indexed: 11/16/2022] Open
Abstract
We use Langevin dynamics to study the deformations of linear and ring polymers in different confinements by applying compression and stretching forces on their two sides. Our results show that the compression deformations are the results of an interplay among of polymer rigidity, degree of confinement, and force applied. When the applied force is beyond the threshold required for the buckling transition, the semiflexible chain under the strong confinement firstly buckles; then comes helical deformation. However, under the same force loading, the semiflexible chain under the weaker confinement exhibits buckling instability and shrinks from the folded ends/sides until it becomes three-folded structures. This happens because the strong confinement not only strongly reduces the buckling wavelength, but also increases the critical buckling force threshold. For the weakly confined polymers, in compression process, the flexible linear polymer collapses into condensed states under a small external force, whereas the ring polymer only shows slight shrinkage, due to the excluded volume interactions of two strands in the crowded states. These results are essential for understanding the deformations of the ring biomacromolecules and polymer chains in mechanical compression or driven transport.
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Affiliation(s)
- Wenduo Chen
- School of Materials, Sun Yat-sen University, No. 135, Xingang Xi Road, Guangzhou 510275, China; (Q.W.); (H.C.); (J.L.); (D.J.)
- School of Materials, Shenzhen Campus of Sun Yat-sen University, No. 66, Gongchang Road, Guangming District, Shenzhen 518107, China
- Correspondence:
| | - Xiangxin Kong
- Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, China;
| | - Qianqian Wei
- School of Materials, Sun Yat-sen University, No. 135, Xingang Xi Road, Guangzhou 510275, China; (Q.W.); (H.C.); (J.L.); (D.J.)
- School of Materials, Shenzhen Campus of Sun Yat-sen University, No. 66, Gongchang Road, Guangming District, Shenzhen 518107, China
| | - Huaiyu Chen
- School of Materials, Sun Yat-sen University, No. 135, Xingang Xi Road, Guangzhou 510275, China; (Q.W.); (H.C.); (J.L.); (D.J.)
- School of Materials, Shenzhen Campus of Sun Yat-sen University, No. 66, Gongchang Road, Guangming District, Shenzhen 518107, China
| | - Jiayin Liu
- School of Materials, Sun Yat-sen University, No. 135, Xingang Xi Road, Guangzhou 510275, China; (Q.W.); (H.C.); (J.L.); (D.J.)
- School of Materials, Shenzhen Campus of Sun Yat-sen University, No. 66, Gongchang Road, Guangming District, Shenzhen 518107, China
| | - Dazhi Jiang
- School of Materials, Sun Yat-sen University, No. 135, Xingang Xi Road, Guangzhou 510275, China; (Q.W.); (H.C.); (J.L.); (D.J.)
- School of Materials, Shenzhen Campus of Sun Yat-sen University, No. 66, Gongchang Road, Guangming District, Shenzhen 518107, China
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6
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Affiliation(s)
- Liang Dai
- Department of Physics, City University of Hong Kong, Hong Kong 999077, China
- Shenzhen Research Institute, City University of Hong Kong, Shenzhen 518057, China
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7
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Zhang Z, Wang Y, Liu P, Chen T, Hou G, Xu L, Wang X, Hu Z, Liu J, Zhang L. Quantitatively predicting the mechanical behavior of elastomers via fully atomistic molecular dynamics simulation. POLYMER 2021. [DOI: 10.1016/j.polymer.2021.123704] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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8
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Dinic J, Sharma V. Flexibility, Extensibility, and Ratio of Kuhn Length to Packing Length Govern the Pinching Dynamics, Coil-Stretch Transition, and Rheology of Polymer Solutions. Macromolecules 2020. [DOI: 10.1021/acs.macromol.0c00076] [Citation(s) in RCA: 20] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023]
Affiliation(s)
- Jelena Dinic
- Department of Chemical Engineering, University of Illinois at Chicago, Chicago, Illinois 60608, United States
| | - Vivek Sharma
- Department of Chemical Engineering, University of Illinois at Chicago, Chicago, Illinois 60608, United States
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9
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Lopez CG. Entanglement Properties of Polyelectrolytes in Salt-Free and Excess-Salt Solutions. ACS Macro Lett 2019; 8:979-983. [PMID: 35619486 DOI: 10.1021/acsmacrolett.9b00161] [Citation(s) in RCA: 28] [Impact Index Per Article: 5.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
We study the entanglement properties of polyelectrolytes in salt-free and excess-salt solutions, corresponding to rod-like and expanded coil conformations, respectively. While the solvent's ionic strength has a large impact on the conformation of polyelectrolytes, it does not affect its entanglement density and entanglement crossover. This contradicts current models of polymer entanglement and suggests that the density of binary contacts in solution is not affected by the solvent quality. Based on this observation, we work out the reptation dynamics of polyelectrolytes in salt-free solution, which differ appreciably from earlier models.
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Affiliation(s)
- Carlos G. Lopez
- Institute of Physical Chemistry, RWTH Aachen University, Landoltweg 2, 52056 Aachen, Germany
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10
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Mead DW. Polarized Raman Scattering Predictions for a Molecular Constitutive Model of a Topologically Entangled and Permanently Cross-Linked Rubber. Macromolecules 2019. [DOI: 10.1021/acs.macromol.8b02485] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- D. W. Mead
- Mead Consulting, Bedford, New Hampshire 03110, United States
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11
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Cao J, Wang Z, Likhtman AE. Determining Tube Theory Parameters by Slip-Spring Model Simulations of Entangled Star Polymers in Fixed Networks. Polymers (Basel) 2019; 11:E496. [PMID: 30960480 PMCID: PMC6473678 DOI: 10.3390/polym11030496] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/20/2019] [Revised: 03/08/2019] [Accepted: 03/11/2019] [Indexed: 11/26/2022] Open
Abstract
Dynamical properties of branched polymer melts are determined by the polymer molecular weights and architectures containing junction points. Relaxation of entangled symmetric star polymers proceeds via arm-retraction and constraint release (CR). In this work, we investigate arm-retraction dynamics in the framework of a single-chain slip-spring model without CR effect where entanglements are treated as binary contacts, conveniently modeled as virtual "slip-links", each involving two neighboring strands. The model systems are analogous to isolated star polymers confined in a permanent network or a melt of very long linear polymers. We find that the distributions of the effective primitive path lengths are Gaussian, from which the entanglement molecular weight N e , a key tube theory parameter, can be extracted. The procured N e value is in good agreement with that obtained from mapping the middle monomer mean-square displacements of entangled linear chains in slip-spring model to the tube model prediction. Furthermore, the mean first-passage (FP) times of destruction of original tube segments by the retracting arm end are collected in simulations and examined quantitatively using a theory recently developed in our group for describing FP problems of one-dimensional Rouse chains with improbable extensions. The asymptotic values of N e as obtained from the static (primitive path length) and dynamical (FP time) analysis are consistent with each other. Additionally, we manage to determine the tube survival function of star arms μ ( t ) , or equivalently arm end-to-end vector relaxation function ϕ ( t ) , through the mean FP time spectrum τ ( s ) of the tube segments after careful consideration of the inner-most entanglements, which shows reasonably good agreement with experimental data on dielectric relaxation.
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Affiliation(s)
- Jing Cao
- School of Mathematical, Physical and Computational Sciences, University of Reading, Reading RG6 6AX, UK.
| | - Zuowei Wang
- School of Mathematical, Physical and Computational Sciences, University of Reading, Reading RG6 6AX, UK.
| | - Alexei E Likhtman
- School of Mathematical, Physical and Computational Sciences, University of Reading, Reading RG6 6AX, UK
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12
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O'Connor TC, Alvarez NJ, Robbins MO. O'Connor, Alvarez, and Robbins Reply. PHYSICAL REVIEW LETTERS 2019; 122:059804. [PMID: 30822021 DOI: 10.1103/physrevlett.122.059804] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/27/2018] [Indexed: 06/09/2023]
Affiliation(s)
- Thomas C O'Connor
- Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218, USA
| | - Nicolas J Alvarez
- Department of Chemical and Biological Engineering, Drexel University, Philadelphia, Pennsylvania 19104, USA
| | - Mark O Robbins
- Department of Physics and Astronomy, Johns Hopkins University, Baltimore, Maryland 21218, USA
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13
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Cui K, Ma Z, Tian N, Su F, Liu D, Li L. Multiscale and Multistep Ordering of Flow-Induced Nucleation of Polymers. Chem Rev 2018; 118:1840-1886. [DOI: 10.1021/acs.chemrev.7b00500] [Citation(s) in RCA: 167] [Impact Index Per Article: 27.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Kunpeng Cui
- National
Synchrotron Radiation Laboratory, Chinese Academy of Sciences Key
Laboratory of Soft Matter Chemistry, and Anhui Provincial Engineering
Laboratory of Advanced Functional Polymer Film, University of Science and Technology of China, 96 Jinzhai Road, Baohe District, Hefei 230026, People’s Republic of China
| | - Zhe Ma
- Tianjin
Key Laboratory of Composite and Functional Materials, School of Materials
Science and Engineering, Tianjin University, 92 Weijin Road,
Nankai District, Tianjin 300072, People’s Republic of China
| | - Nan Tian
- Ministry
of Education Key Laboratory of Space Applied Physics and Chemistry
and Shanxi Key Laboratory of Macromolecular Science and Technology,
School of Science, Northwestern Polytechnical University, 127 Youyi
West Road, District Beilin, Xi’an 710072, People’s Republic of China
| | - Fengmei Su
- National
Synchrotron Radiation Laboratory, Chinese Academy of Sciences Key
Laboratory of Soft Matter Chemistry, and Anhui Provincial Engineering
Laboratory of Advanced Functional Polymer Film, University of Science and Technology of China, 96 Jinzhai Road, Baohe District, Hefei 230026, People’s Republic of China
| | - Dong Liu
- Key
Laboratory of Neutron Physics and Institute of Nuclear Physics and
Chemistry, China Academy of Engineering Physics, 64 Mianshan
Road, Mianyang, Sichuan 621999, People’s Republic of China
| | - Liangbin Li
- National
Synchrotron Radiation Laboratory, Chinese Academy of Sciences Key
Laboratory of Soft Matter Chemistry, and Anhui Provincial Engineering
Laboratory of Advanced Functional Polymer Film, University of Science and Technology of China, 96 Jinzhai Road, Baohe District, Hefei 230026, People’s Republic of China
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14
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Zhang W, Gomez ED, Milner ST. Using surface-induced ordering to probe the isotropic-to-nematic transition for semiflexible polymers. SOFT MATTER 2016; 12:6141-7. [PMID: 27345760 DOI: 10.1039/c6sm01258b] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
Abstract
Semiflexible polymers undergo a weakly first order isotropic-to-nematic (IN) phase transition when the volume fraction ϕ is high enough that random alignment of the backbone segments is no longer viable. For semiflexible chains, the critical volume fraction ϕc is governed by the backbone stiffness Np. To locate the IN phase transition, we perform molecular dynamics (MD) simulations of bead-spring chains confined between two impenetrable parallel surfaces. We use the impenetrable surfaces to induce nematic-isotropic interfaces for semiflexible chains in the isotropic phase. By progressively increasing the backbone stiffness Np, we observe the propagation of surface-induced nematic order above a critical stiffness N for a given ϕ. Using the simulation results N(ϕ), we construct the IN phase boundry in the ϕ-Np plane, from which the scaling relation between ϕc and Np is obtained. For semiflexible chains with Np ≤ 5.78, our results suggest ϕc ∼ Np(-1), consistent with prediction by Khokhlov and Semenov. For chains with Np ≥ 5.78, we observe a new scaling regime in which ϕc ∼ Np(-2/3).
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Affiliation(s)
- Wenlin Zhang
- Department of Chemical Engineering, Pennsylvania State University, University Park, PA 16802, USA.
| | - Enrique D Gomez
- Department of Chemical Engineering, Pennsylvania State University, University Park, PA 16802, USA. and Materials Research Institute, Pennsylvania State University, University Park, PA 16802, USA
| | - Scott T Milner
- Department of Chemical Engineering, Pennsylvania State University, University Park, PA 16802, USA.
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15
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Predicting the Flory-Huggins χ Parameter for Polymers with Stiffness Mismatch from Molecular Dynamics Simulations. Polymers (Basel) 2016; 8:polym8060241. [PMID: 30979334 PMCID: PMC6432250 DOI: 10.3390/polym8060241] [Citation(s) in RCA: 36] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/04/2016] [Revised: 06/13/2016] [Accepted: 06/16/2016] [Indexed: 11/16/2022] Open
Abstract
The Flory–Huggins χ parameter describes the excess free energy of mixing and governs phase behavior for polymer blends and block copolymers. For chemically-distinct nonpolar polymers, the value of χ is dominated by the mismatch in cohesive energy densities of the monomers. For blends of chemically-similar polymers, the entropic portion of χ, arising from non-ideal local packing, becomes more significant. Using polymer field theory, Fredrickson et al. predicted that a difference in backbone stiffness can result in a positive χ for chains consisting of chemically-identical monomers. To quantitatively investigate this phenomenon, we perform molecular dynamic (MD) simulations for bead-spring chains, which differ only in stiffness. From the simulations, we apply a novel thermodynamic integration to extract χ as low as 10-4 per monomer for blends with stiffness mismatch. To compare with experiments, we introduce a standardized effective monomer to map real polymers onto our bead-spring chains. The predicted χ agrees well with experimental values for a wide variety of pairs of chemically-similar polymers.
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16
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Affiliation(s)
- Wenlin Zhang
- Department of Chemical Engineering and ‡Materials Research
Institute, The Pennsylvania State University, University Park, Pennsylvania 16802, United States
| | - Enrique D. Gomez
- Department of Chemical Engineering and ‡Materials Research
Institute, The Pennsylvania State University, University Park, Pennsylvania 16802, United States
| | - Scott T. Milner
- Department of Chemical Engineering and ‡Materials Research
Institute, The Pennsylvania State University, University Park, Pennsylvania 16802, United States
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17
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18
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Panagiotou E, Kröger M. Pulling-force-induced elongation and alignment effects on entanglement and knotting characteristics of linear polymers in a melt. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 90:042602. [PMID: 25375516 DOI: 10.1103/physreve.90.042602] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/12/2014] [Indexed: 06/04/2023]
Abstract
We employ a primitive path (PP) algorithm and the Gauss linking integral to study the degree of entanglement and knotting characteristics of linear polymer model chains in a melt under the action of a constant pulling force applied to selected chain ends. Our results for the amount of entanglement, the linking number, the average crossing number, the writhe of the chains and their PPs and the writhe of the entanglement strands all suggest a different response at the length scale of entanglement strands than that of the chains themselves and of the corresponding PPs. Our findings indicate that the chains first stretch at the level of entanglement strands and next the PP (tube) gets oriented with the "flow." These two phases of the extension and alignment of the chains coincide with two phases related to the disentanglement of the chains. Soon after the onset of external force the PPs attain a more entangled conformation, and the number of nontrivially linked end-to-end closed chains increases. Next, the chains disentangle continuously to attain an almost unentangled conformation. Using the linking matrix of the chains in the melt, we furthermore show that these phases are accompanied by a different scaling of the homogeneity of the global entanglement in the system. The homogeneity of the end-to-end closed chains first increases to a maximum and then decreases slowly to a value characterizing a completely unlinked system.
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Affiliation(s)
- E Panagiotou
- Department of Mathematics, University of California, Santa Barbara, California 93106, USA
| | - M Kröger
- Polymer Physics, Department of Materials, ETH Zurich, CH-8093 Zurich, Switzerland
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19
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Affiliation(s)
- Jian Qin
- Institute
for Molecular Engineering, University of Chicago, Chicago, Illinois 60637, United States
| | - Scott T. Milner
- Department
of Chemical Engineering, The Pennsylvania State University, University Park, Pennsylvania 16802, United States
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20
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