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We present a time-dependent Ginzburg-Landau model of nonlinear elasticity in solid materials. We assume that the elastic energy density is a periodic function of the shear and tetragonal strains owing to the underlying lattice structure.…

Statistical Mechanics · Physics 2009-11-10 Akira Onuki , Akira Furukawa , Akihiko Minam

The dynamics of flexible polymer molecules are often assumed to be governed by hydrodynamics of the solvent. However there is considerable evidence that internal dissipation of a polymer contributes as well. Here we investigate the dynamics…

Soft Condensed Matter · Physics 2013-05-29 J. M. Deutsch

We study the behavior of the elastic polymer, a model of a directed polymer in a continuous Gaussian random environment that is independent in time and correlated in space, as the dimension of the environment is taken to infinity. We give…

Probability · Mathematics 2026-05-08 Gerard Ben Arous , Pax Kivimae

Low frequency dielectric measurements on plexiglass (PMMA) show that cooling and heating the sample at constant rate give an hysteretic dependence on temperature of the dielectric constant $\epsilon$. A temporary stop of cooling produces a…

Materials Science · Physics 2009-10-31 L. Bellon , S. Ciliberto , C. Laroche

We have analyzed the equilibrium response of chain molecules to stretching. For a homogeneous sequence of monomers, the induced transition from compact globule to extended coil below the $\theta$-temperature is predicted to be sharp. For…

Soft Condensed Matter · Physics 2009-11-07 Phillip L. Geissler , Eugene I. Shakhnovich

Ageing phenomena are observed in a large variety of dynamical systems exhibiting a slow relaxation from a non-equilibrium initial state. Ageing can be characterised in terms of the linear response R(t,s) at time t to a local perturbation at…

Statistical Mechanics · Physics 2007-11-08 Haye Hinrichsen

Constitutive equations are proposed for the relaxation of a glassy material in contact with a thermal reservoir. The dynamics of a single state variable, identified as an effective temperature accounts for the emergence of glassy behavior…

Disordered Systems and Neural Networks · Physics 2016-08-16 Anaël Lemaître

Active polymers possess numerous unique properties that are quite different from those observed in the system of small active molecule due to the intricate interplay between their activity and topological constraints. This study focuses on…

Soft Condensed Matter · Physics 2024-07-09 Jing Li , Bokai Zhang , Zhi-Yong Wang

We study two cross-linked polymer systems in the strong stretching regime. The first consists of two polymers sharing one endpoint, with the other two endpoints coupled by a harmonic potential. Within the weakly bending approximation, we…

Soft Condensed Matter · Physics 2026-03-30 Geunho Noh , Panayotis Benetatos

We study the conformations of polymer chains in a poor solvent, with and without bending rigidity, by means of a simple statistical mechanics model. This model can be exactly solved for chains of length up to N=55 using exact enumeration…

Statistical Mechanics · Physics 2007-11-26 Anthony J. Guttmann , Jesper L. Jacobsen , Iwan Jensen , Sanjay Kumar

Tensile creep tests, tensile relaxation tests and a tensile test with a constant rate of strain are performed on injection-molded isotactic polypropylene at room temperature in the vicinity of the yield point. A constitutive model is…

Materials Science · Physics 2009-11-07 A. D. Drozdov , J. deC. Christiansen

The time-dependent transverse response of stiff polymers, represented as weakly-bending wormlike chains (WLCs), is well-understood on the linear level, where transverse degrees of freedom evolve independently from the longitudinal ones. We…

Soft Condensed Matter · Physics 2007-09-03 Benedikt Obermayer , Oskar Hallatschek

In the standard approach to lattice proteins the models based on nearest neighbor interaction are used. In this kind of models it is difficult to explain the existence of secondary structures --- special preferred conformations of protein…

Soft Condensed Matter · Physics 2013-12-17 S. V. Kozyrev , I. V. Volovich

The equilibrium structure and dynamics of a single polymer chain in a thermal solvent is by now well-understood in terms of scaling laws. Here we consider a polymer in a bacterial bath, i.e. in a solvent consisting of active particles which…

Soft Condensed Matter · Physics 2014-07-29 Andreas Kaiser , Hartmut Löwen

Physical aging in polymers is a fundamental yet poorly understood phenomenon, as diverse macromolecular systems exhibit remarkably similar slow dynamics. Through molecular dynamics simulations of physically crosslinked networks composed of…

Soft Condensed Matter · Physics 2025-10-16 Patrick Ilg , Clarisse Luap , Martin Kröger

We study the relaxation process in a two-dimensional lattice gas model, where the interactions come from the excluded volume. In this model particles have three arms with an asymmetrical shape, which results in geometrical frustration that…

Statistical Mechanics · Physics 2009-11-07 A. Diaz-Sanchez , Antonio de Candia , Antonio Coniglio

We present an extensive analysis of the relaxation dynamics of entangled linear polymer melts via long-time molecular dynamics simulations of a generic bead-spring model. We study the mean-squared displacements, the autocorrelation function…

Soft Condensed Matter · Physics 2025-01-17 Alireza F. Behbahani , Friederike Schmid

Dynamics of a chain of interacting parity-time invariant nonlinear dimers is investigated. A dimer is built as a pair of coupled elements with equal gain and loss. A relation between stationary soliton solutions of the model and solitons of…

Predicting the time and temperature dependent behavior of polymer networks under complex loading is essential for the design of advanced elastomeric materials. Many practical applications involve combinations of deformation modes, such as…

Soft Condensed Matter · Physics 2025-12-12 Volker Kraus , Wolfgang Hamm , Miklos Zrinyi

Anisotropic shear relaxation is an interesting but rarely discussed issue in polymer dynamics under confinement [Abberton et al., Macromolecules, 48, 7631, 2015]. According to the earlier study of bead spring simulations for an unentangled…

Soft Condensed Matter · Physics 2024-06-17 Yuichi Masubuchi