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In the popular solution-diffusion picture, the membrane permeability is defined as the product of the partition ratio and the diffusivity of penetrating solutes inside the membrane in the linear response regime, i.e., in equilibrium.…

Soft Condensed Matter · Physics 2022-08-25 Won Kyu Kim , Sebastian Milster , Rafael Roa , Matej Kanduč , Joachim Dzubiella

We extend the phase field crystal method for nonequilibrium patterning to stochastic systems with external source where transient dynamics is essential. It was shown that at short time scales the system manifests pattern selection…

Statistical Mechanics · Physics 2011-01-18 D. Kharchenko , V. Kharchenko , I. Lysenko

A Langevin equation is proposed to describe the transport of overdamped Brownian particles in a periodic rough potential and driven by an unbiased periodic force. The equation can be transformed into the Fokker-Planck equation by using the…

Statistical Mechanics · Physics 2023-04-05 Peng Wang , Yang Zhang , Peng-Juan Zhang , Jie Huo , Xu-Ming Wang

We propose a scheme for extending the model Hamiltonian method developed originally for studying the equilibrium properties of complex perovskite systems to include Langevin dynamics. The extension is based on Zwanzig's treatment of…

Materials Science · Physics 2015-06-24 Morrel H. Cohen

Stretched-exponential relaxation is a widely observed phenomenon found in ordered ferromagnets as well as glassy systems. One modeling approach connects this behavior to a droplet dynamics described by an effective Langevin equation for the…

Statistical Mechanics · Physics 2024-02-21 Lucianno Defaveri , Eli Barkai , David A. Kessler

We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

Statistical Mechanics · Physics 2009-10-31 Alexander Patashinski

We investigate the nature of the effective dynamics and statistical forces obtained after integrating out nonequilibrium degrees of freedom. To be explicit, we consider the Rouse model for the conformational dynamics of an ideal polymer…

Statistical Mechanics · Physics 2015-06-11 Christian Maes , Simi R. Thomas

The non-linear response of entangled polymers to shear flow is complicated. Its current understanding is framed mainly as a rheological description in terms of the complex viscosity. However, the full picture requires an assessment of the…

Computational Physics · Physics 2018-08-21 Airidas Korolkovas , Philipp Gutfreund , Max Wolff

We present simulations of an equilibrium statistical-mechanics model that uniformly samples the space of quiescent states of a periodically sheared suspension. In our simulations, we compute the structural properties of this model as a…

Statistical Mechanics · Physics 2015-12-31 K. Julian Schrenk , Daan Frenkel

A wide body of work has applied the concept of critical slowing down to estimate the stability of different Earth system components. Most of them -- such as global vegetation -- are inherently non-stationary, for example due to strong…

Chaotic Dynamics · Physics 2026-04-28 Taylor Smith , Andreas Morr , Christof Schötz , Niklas Boers

Adsorption of polymers to surfaces is crucial for understanding many fundamental processes in nature. Recent experimental studies indicate that the adsorption dynamics is dominated by non-equilibrium effects. We investigate the adsorption…

Soft Condensed Matter · Physics 2009-05-12 Debabrata Panja , Gerard T. Barkema , Anatoly B. Kolomeisky

We employ 3D Langevin Dynamics simulations to study the dynamics of polymer chains translocating through a nanopore in presence of asymmetric solvent conditions. Initially a large fraction ($>$ 50%) of the chain is placed at the…

Soft Condensed Matter · Physics 2010-06-09 Christopher Lorscher , Tapio Ala-Nissila , Aniket Bhattacharya

The modern theory of rare events is grounded in near equilibrium ideas, however many systems of modern interest are sufficiently far from equilibrium that traditional approaches do not apply. Using the recently developed variational path…

Chemical Physics · Physics 2025-02-14 Aditya N. Singh , David T. Limmer

We investigate the non-equilibrium dynamics of an isolated polymer in a stationary elongational flow. We compute the relaxation time to the steady-state configuration as a function of the Weissenberg number. A strong increase of the…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 D. Vincenzi , E. Bodenschatz

While the dynamics of polymer chains in equilibrium media is well understood by now, the polymer dynamics in active non-equilibrium environments can be very different. Here we study the dynamics of polymers in a viscous medium containing…

Soft Condensed Matter · Physics 2017-06-23 Jaeoh Shin , Andrey G. Cherstvy , Won Kyu Kim , Vasily Zaburdaev

Entangled polymers are an important class of materials for their toughness, processability, and functionalizability. However, physically detailed modeling of highly entangled polymers can prove challenging, especially as one considers…

Soft Condensed Matter · Physics 2024-10-28 Vickie Chen , Brandon Wang , Joseph D. Peterson

Randomly disordered (polydomain) liquid crystalline elastomers align under stress. We study the dynamics of stress relaxation before, during and after the Polydomain-Monodomain transition. The results for different materials show the…

Soft Condensed Matter · Physics 2016-08-31 S. M. Clarke , E. M. Terentjev

The effect of the microscopic structure of a pore on polymer translocation is studied using Langevin dynamics simulation, and the consequence of introducing patterned stickiness inside the pore is investigated. It is found that the…

Soft Condensed Matter · Physics 2013-02-01 Jack A. Cohen , Abhishek Chaudhuri , Ramin Golestanian

We study the diffusion of a tracer particle driven out-of-equilibrium by an external force and traveling in a dense environment of arbitrary density. The system evolves on a discrete lattice and its stochastic dynamics is described by a…

Statistical Mechanics · Physics 2018-05-23 Pierre Illien , Olivier Bénichou , Gleb Oshanin , Alessandro Sarracino , Raphaël Voituriez

Both entangled and unentangled polymer melts exhibit stress overshoots when subject to shearing flow. The size of the overshoot depends on the applied shear rate and is related to relaxation mechanisms such as reptation, chain stretch and…

Soft Condensed Matter · Physics 2024-06-19 Marco Aurelio Galvani Cunha , Peter D. Olmsted , Mark O. Robbins
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