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The paper presents a short overview of the theoretical, numerical and experimental works on the critical behavior of a dilute polymer solution of long-flexible polymer chains confined in semi-infinite space restricted by a surface or in a…

软凝聚态物质 · 物理学 2018-01-08 Zoryana Usatenko , Krzysztof S. Danel

We calculate statistical properties of amorphous polymer chains between crystalline lamellae by self-consistent field model simulations. In our model, an amorphous subchain is modelled as a polymer chain of which ends are grafted onto the…

软凝聚态物质 · 物理学 2015-06-23 Takashi Uneyama , Takafumi Miyata , Koh-hei Nitta

The new method of the mean-field approximation is extended. An approach which enables to estimate some parameters of the transition from the isotropic state of hard sticks to the nematic ordering phase is suggested. An technique of the…

统计力学 · 物理学 2018-02-14 Andrei N. Yakunin

The universal density-force relation is analyzed and the correspondent universal amplitude ratio $B_{real}$ is obtained using the massive field theory approach in fixed space dimensions d=3 up to one-loop order. The layer monomer density…

软凝聚态物质 · 物理学 2015-05-20 Z. Usatenko

Complex biological and physical transport processes are often described through systems of interacting particles. Excluded-volume effects on these transport processes are well studied, however the interplay between volume exclusion and…

统计力学 · 物理学 2018-06-27 Daniel Wilson , Helen Byrne , Maria Bruna

The work addresses the analogy between trivial knotting and excluded volume in looped polymer chains of moderate length, $N<N_0$, where the effects of knotting are small. A simple expression for the swelling seen in trivially knotted loops…

软凝聚态物质 · 物理学 2007-05-23 N. T. Moore , A. Y. Grosberg

We study the structure and interfacial properties of model athermal mixtures of colloids and excluded volume polymers. The colloid particles are modeled as hard spheres whereas the polymer coils are modeled as chains formed from…

软凝聚态物质 · 物理学 2007-05-23 Pawel Bryk

Constitutive equations are derived for the time-dependent behavior of particle-reinforced elastomers at isothermal loading with finite strains. A rubbery polymer is modelled as a network of macromolecules bridged by junctions which can slip…

材料科学 · 物理学 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

We propose a theoretical framework for dealing with a transient polymer network undergoing small deformations, based on the rate of breaking and re-forming of network crosslinks and the evolving elastic reference state. In this framework,…

软凝聚态物质 · 物理学 2016-04-27 Fanlong Meng , Robyn H. Pritchard , Eugene M. Terentjev

We introduce an anisotropic mean-field approach for the dynamics of semiflexible polymers under intermediate tension, the force range where a chain is partially extended but not in the asymptotic regime of a nearly straight contour. The…

软凝聚态物质 · 物理学 2011-07-14 Michael Hinczewski , Roland R. Netz

We study the statistics of branching polymers with excluded-volume interactions, by modeling them as single self-avoiding trees on a generic regular periodic lattice with coordination number $q$. Each lattice site can be occupied at most by…

统计力学 · 物理学 2025-10-13 Davide Marcato , Achille Giacometti , Amos Maritan , Angelo Rosa

We report on a novel approach to the Deam-Edwards model for interacting polymeric networks without using replicas. Our approach utilizes the fact that a network modelled from a single non-interacting Gaussian chain of macroscopic size can…

凝聚态物理 · 物理学 2009-10-28 Michael P. Solf , Thomas A. Vilgis

We study the partition functions associated with non-intersecting polymers in a random environment. By considering paths in series and in parallel, the partition functions carry natural notions of subadditivity, allowing the effective study…

概率论 · 数学 2021-03-30 Samuel G. G. Johnston , Neil O'Connell

Polymer entanglements lead to complicated topological constraints and interactions between neighbouring chains in a dense solution or melt. Entanglements can be treated in a mean field approach, within the famous reptation model, since they…

软凝聚态物质 · 物理学 2007-05-23 S. Kutter , E. M. Terentjev

Simulating soft matter systems such as the cytoskeleton can enable deep understanding of experimentally observed phenomena. One challenge of modeling such systems is realistic description of the steric repulsion between nearby polymers.…

软凝聚态物质 · 物理学 2021-12-22 Carlos Floyd , Aravind Chandrasekaran , Haoran Ni , Qin Ni , Garegin A. Papoian

A simple analytic theory for mixtures of hard spheres and larger polymers with excluded volume interactions is developed. The mixture is shown to exhibit extensive immiscibility. For large polymers with strong excluded volume interactions,…

软凝聚态物质 · 物理学 2009-11-07 Richard P. Sear

Understanding contact between rough surfaces undergoing plastic deformation is crucial in many applications. We test Persson's multiscale contact mechanics theory for elastoplastic solids, assuming a constant penetration hardness. Using a…

软凝聚态物质 · 物理学 2026-01-07 Andreas Almqvist , Bo N. J. Persson

The mechanical properties of biological materials are spatially heterogeneous. Typical tissues are made up of a spanning fibrous extracellular matrix in which various inclusions, such as living cells, are embedded. While the influence of…

软凝聚态物质 · 物理学 2025-09-04 Jordan L. Shivers , Jingchen Feng , Fred C. MacKintosh

Stochastic models of diffusion with excluded-volume effects are used to model many biological and physical systems at a discrete level. The average properties of the population may be described by a continuum model based on partial…

化学物理 · 物理学 2012-12-20 Maria Bruna , S. Jonathan Chapman

The associative interaction, such as hydrogen bonding, can bring about versatile functionalities to polymer systems, which has been investigated by tremendous researches, but the fundamental understanding on association process is still…

软凝聚态物质 · 物理学 2025-01-20 Xiangyu Zhang , Dong Meng