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Spatially-distributed, nonequilibrium chemical systems described by a Markov chain model are considered. The evolution of such systems arises from a combination of local birth-death reactive events and random walks executed by the particles…

chao-dyn · 物理学 2009-10-31 Mikhail V. Velikanov , Raymond Kapral

The presence of a viscoelastic mechanism distinctly different from the segmental a-relaxation and the Rouse modes within the glass-rubber transition zone of polymers had been justified by theoretical considerations, and subsequently…

软凝聚态物质 · 物理学 2014-10-20 K. L. Ngai , S. Capaccioli , Daniele Prevosto , Luigi Grassia

We study the one-dimensional motion of a Brownian particle inside a confinement described by two reactive boundaries which can partially reflect or absorb the particle. Understanding the effects of such boundaries is important in physics,…

统计力学 · 物理学 2021-03-30 Arnab Pal , Isaac Pérez Castillo , Anupam Kundu

Polymerases are protein enzymes that move along nucleic acid chains and catalyze template-based polymerization reactions during gene transcription and replication. The polymerases also substantially improve transcription or replication…

生物物理 · 物理学 2017-01-19 Jin Yu

The dynamics of flexible polymers in dilute solutions is studied taking into account the hydrodynamic memory, as a consequence of fluid inertia. As distinct from the Rouse-Zimm (RZ) theory, the Boussinesq friction force acts on the monomers…

软凝聚态物质 · 物理学 2009-11-10 V. Lisy , J. Tothova , A. V. Zatovsky

We study an instantaneous bimolecular chemical reaction in a two-dimensional chaotic, incompressible and closed Navier-Stokes flow. Areas of well mixed reactants are initially separated by infinite gradients. We focus on the initial regime,…

混沌动力学 · 物理学 2011-10-19 Farid Ait-Chaalal , Michel S. Bourqui , Peter Bartello

Phase transitions ruled by nucleation and growth can occur by nonrandom arrangement of nuclei. This is verified, for instance, in thin film growth at solid surfaces by vapor condensation or by electrodeposition where, around each nucleus, a…

统计力学 · 物理学 2025-06-11 M. Tomellini

The theory of nonlinear response for Markov processes obeying a master equation is formulated in terms of time-dependent perturbation theory for the Green's functions and general expressions for the response functions up to third order in…

软凝聚态物质 · 物理学 2015-06-04 Gregor Diezemann

We study energy relaxation in a phenomenological model for polymer built from rheological considerations: a one dimensional nonlinear lattice with dissipative couplings. These couplings are well known in polymer's community to be possibly…

统计力学 · 物理学 2009-11-07 F. Gobet , S. Ciliberto , T. Dauxois

The conformational and dynamical properties of isolated semiflexible active polar ring polymers are investigated analytically. A ring is modeled as continuous Gaussian polymer exposed to tangential active forces. The analytical solution of…

软凝聚态物质 · 物理学 2022-06-22 Christian A. Philipps , Gerhard Gompper , Roland G. Winkler

Reaction-diffusion systems with reversible reactions generically display power-law relaxation towards chemical equilibrium. In this work we investigate through numerical simulations aging processes that characterize the non-equilibrium…

统计力学 · 物理学 2011-06-10 Nasrin Afzal , Justin Waugh , Michel Pleimling

The process of polymer condensation, i.e. the formation of bonds between reactive end-groups, is ubiquitous in both industry and biology. Here we study generic systems undergoing polymer condensation in competition with cyclisation. Using a…

A Markov state model is a powerful tool that can be used to track the evolution of populations of configurations in an atomistic representation of a protein. For a coarse-grained linear chain model with discontinuous interactions, the…

软凝聚态物质 · 物理学 2024-02-06 Margarita Colberg , Jeremy Schofield

A Markov state model of the dynamics of a protein-like chain immersed in an implicit hard sphere solvent is derived from first principles for a system of monomers that interact via discontinuous potentials designed to account for local…

统计力学 · 物理学 2015-06-22 Jeremy Schofield , Hanif Bayat

The transport of polymers with folded configurations across membrane pores is investigated theoretically by analyzing simple discrete stochastic models. The translocation dynamics is viewed as a sequence of two events: motion of the folded…

统计力学 · 物理学 2009-11-13 Stanislav Kotsev , Anatoly B. Kolomeisky

Using a lattice-based Monte Carlo code for simulating self-avoiding flexible polymers in three dimensions in the absence of explicit hydrodynamics, we study their Rouse modes. For self-avoiding polymers, the Rouse modes are not expected to…

软凝聚态物质 · 物理学 2009-10-20 Debabrata Panja , Gerard T. Barkema

In this work, we explore the dynamics of active entangled chains using molecular dynamics simulations of a modified Kremer-Grest model. The active chains are diluted in a mesh of very long passive linear chains, to avoid constraint release…

软凝聚态物质 · 物理学 2022-11-01 Andres R. Tejedor , Raquel Carracedo , Jorge Ramírez

We present a simple reaction kinetics model to describe the polymer synthesis used by Lusignan et al. (PRE, 60, 5657, 1999) to produce randomly branched polymers in the vulcanization class. Numerical solution of the rate equations gives…

软凝聚态物质 · 物理学 2009-11-11 Chinmay Das , Daniel J. Read , Mark A. Kelmanson , Tom C. B. McLeish

Dynamical properties of vulcanized polymer networks are addressed via a Rouse-type model that incorporates the effect of permanent random crosslinks. The incoherent intermediate scattering function is computed in the sol and gel phases, and…

软凝聚态物质 · 物理学 2009-10-30 Kurt Broderix , Paul M. Goldbart , Annette Zippelius

Chemically-responsive polymers are macromolecules that respond to local variations of the chemical composition of the solution by changing their conformation, with notable examples including polyelectrolytes, proteins and DNA. The polymer…

软凝聚态物质 · 物理学 2022-07-27 Marco De Corato , Marino Arroyo