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Li B, Sun ZY, An LJ. Effects of topology on the adsorption of singly tethered ring polymers to attractive surfaces. J Chem Phys 2015; 143:024908. [DOI: 10.1063/1.4926775] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Bing Li
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, People’s Republic of China and Graduate School of the Chinese Academy of Sciences, Beijing 10039, People’s Republic of China
| | - Zhao-Yan Sun
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, People’s Republic of China and Graduate School of the Chinese Academy of Sciences, Beijing 10039, People’s Republic of China
| | - Li-Jia An
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, People’s Republic of China and Graduate School of the Chinese Academy of Sciences, Beijing 10039, People’s Republic of China
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Sheng J, Luo K. Conformation and adsorption transition on an attractive surface of a ring polymer in solution. RSC Adv 2015. [DOI: 10.1039/c4ra14615h] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
Abstract
Ring polymers have the same critical adsorption point and crossover exponent as linear chains.
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Affiliation(s)
- Junfang Sheng
- CAS Key Laboratory of Soft Matter Chemistry
- Department of Polymer Science and Engineering
- University of Science and Technology of China
- Hefei
- P. R. China
| | - Kaifu Luo
- CAS Key Laboratory of Soft Matter Chemistry
- Department of Polymer Science and Engineering
- University of Science and Technology of China
- Hefei
- P. R. China
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Sommer JU, Kłos JS, Mironova ON. Adsorption of branched and dendritic polymers onto flat surfaces: a Monte Carlo study. J Chem Phys 2014; 139:244903. [PMID: 24387392 DOI: 10.1063/1.4849176] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
Using Monte Carlo simulations based on the bond fluctuation model we study the adsorption of starburst dendrimers with flexible spacers onto a flat surface. The calculations are performed for various generation number G and spacer length S in a wide range of the reduced temperature τ as the measure of the interaction strength between the monomers and the surface. Our simulations indicate a two-step adsorption scenario. Below the critical point of adsorption, τc, a weakly adsorbed state of the dendrimer is found. Here, the dendrimer retains its shape but sticks to the surface by adsorbed spacers. By lowering the temperature below a spacer-length dependent value, τ*(S) < τc, a step-like transition into a strongly adsorbed state takes place. In the flatly adsorbed state the shape of the dendrimer is well described by a mean field model of a dendrimer in two dimensions. We also performed simulations of star-polymers which display a simple crossover-behavior in full analogy to linear chains. By analyzing the order parameter of the adsorption transition, we determine the critical point of adsorption of the dendrimers which is located close to the critical point of adsorption for star-polymers. While the order parameter for the adsorbed spacers displays a critical crossover scaling, the overall order parameter, which combines both critical and discontinuous transition effects, does not display simple scaling. The step-like transition from the weak into the strong adsorbed regime is confirmed by analyzing the shape-anisotropy of the dendrimers. We present a mean-field model based on the concept of spacer adsorption which predicts a discontinuous transition of dendrimers due to an excluded volume barrier. The latter results from an increased density of the dendrimer in the flatly adsorbed state which has to be overcome before this state is thermodynamically stable.
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Affiliation(s)
- J-U Sommer
- Leibniz Institute of Polymer Research Dresden e. V., 01069 Dresden, Germany
| | - J S Kłos
- Leibniz Institute of Polymer Research Dresden e. V., 01069 Dresden, Germany
| | - O N Mironova
- Leibniz Institute of Polymer Research Dresden e. V., 01069 Dresden, Germany
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Blavatska V, Janke W. Polymer adsorption on a fractal substrate: Numerical study. J Chem Phys 2012; 136:104907. [DOI: 10.1063/1.3691102] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Skvortsov AM, Klushin LI, Fleer GJ, Leermakers FAM. Analytical theory of finite-size effects in mechanical desorption of a polymer chain. J Chem Phys 2010; 132:064110. [DOI: 10.1063/1.3308626] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Elezovic-Hadzic S, Zivic I, Milosevic S. Exact and Monte Carlo study of adsorption of a self-interacting polymer chain for a family of three-dimensional fractals. ACTA ACUST UNITED AC 2003. [DOI: 10.1088/0305-4470/36/5/303] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Rajesh R, Dhar D, Giri D, Kumar S, Singh Y. Adsorption and collapse transitions in a linear polymer chain near an attractive wall. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002; 65:056124. [PMID: 12059664 DOI: 10.1103/physreve.65.056124] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/24/2001] [Revised: 02/06/2002] [Indexed: 05/23/2023]
Abstract
We deduce the qualitative phase diagram of a long flexible neutral polymer chain immersed in a poor solvent near an attracting surface using phenomenological arguments. The actual positions of the phase boundaries are estimated numerically from series expansion up to 19 sites of a self-attracting self-avoiding walk in three dimensions. In two dimensions, we calculate phase boundaries analytically in some cases for a partially directed model. Both the numerical and analytical results corroborate the proposed qualitative phase diagram.
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Affiliation(s)
- R Rajesh
- Department of Physics-Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom
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Marenduzzo D, Maritan A, Seno F. Force-induced unfolding of a homopolymer on a fractal lattice: exact results versus mean-field predictions. ACTA ACUST UNITED AC 2002. [DOI: 10.1088/0305-4470/35/18/101] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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9
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Singh Y, Kumar S, Giri D. Surface adsorption and collapse transition of a linear polymer chain in three dimensions. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/32/36/103] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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11
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Kumar S, Singh Y, Dhar D. Surface adsorption of a self-avoiding polymer chain on a family of finitely ramified fractals. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/26/19/017] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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12
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Cattarinussi S, Jug G. Coil-globule transition temperature enhancement in a polymer molecule adsorbed to a wall. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/23/12/043] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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13
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Foster DP. Exact evaluation of the collapse phase boundary for two-dimensional directed polymers. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/23/21/011] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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14
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Kumar S, Singh Y. Critical behaviour of two interacting linear polymer chains: exact results for a state of interpenetration of chains on a fractal lattice. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0305-4470/26/19/003] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Knezevic M, Knezevic D. Adsorption in models of ideal polymer chains on fractal spaces. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1996; 53:2130-2142. [PMID: 9964491 DOI: 10.1103/physreve.53.2130] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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17
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Miljkovic V, Milosevic S, Zivic I. Continuously varying crossover exponent for adsorption of linear polymers on fractals. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 52:6314-6320. [PMID: 9964149 DOI: 10.1103/physreve.52.6314] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Dekeyser R, Orlandini E, Stella AL, Tesi MC. Linear polymers with competing interactions: Swollen linear, swollen branched, and compact scaling regimes. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 52:5214-5227. [PMID: 9964021 DOI: 10.1103/physreve.52.5214] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Kumar S, Singh Y. Interpenetration and segregation of interacting polymer chains in a solution: Exact results on fractal lattices. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 51:579-589. [PMID: 9962678 DOI: 10.1103/physreve.51.579] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Zivic I, Milosevic S, Stanley HE. Test of the bounds on the crossover exponent for polymer adsorption on fractals. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 49:636-640. [PMID: 9961255 DOI: 10.1103/physreve.49.636] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Meirovitch H, Chang I. Surface critical exponents of self-avoiding walks on a square lattice with an adsorbing linear boundary: A computer simulation study. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 48:1960-1969. [PMID: 9960806 DOI: 10.1103/physreve.48.1960] [Citation(s) in RCA: 28] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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22
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Kumar S, Singh Y. Surface adsorption and the collapse transition of a linear polymer chain: Some exact results on fractal lattices. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1993; 48:734-742. [PMID: 9960654 DOI: 10.1103/physreve.48.734] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Iglói F. Collapse transition of directed polymers: Exact results. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 43:3194-3197. [PMID: 9905398 DOI: 10.1103/physreva.43.3194] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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24
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Bishop M, Clarke JHR. Brownian dynamics study of surface adsorption of a linear polymer in different regimes. J Chem Phys 1990. [DOI: 10.1063/1.459155] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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