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Monte Carlo simulations have been performed to analyze the sub-diffusion dynamics of a tagged monomer in self-avoiding polymerized membranes in the flat phase. By decomposing the mean square displacement into the out-of-plane ($\parallel$)…

软凝聚态物质 · 物理学 2015-06-22 Ken-ichi Mizuochi , Hiizu Nakanishi , Takahiro Sakaue

We numerically investigate the long-time behavior of the density-density auto-correlation function in driven lattice gases with particle exclusion and periodic boundary conditions in one, two, and three dimensions using precise Monte Carlo…

统计力学 · 物理学 2011-05-06 George L. Daquila , Uwe C. Tauber

Vortex lines in type-II superconductors display complicated relaxation processes due to the intricate competition between their mutual repulsive interactions and pinning to attractive point or extended defects. We perform extensive Monte…

统计力学 · 物理学 2015-09-10 Michel Pleimling , Uwe C. Tauber

Thermal scaling and relaxation of the interface width in an electrophoretic deposition of polymer chains is examined by a three-dimensional Monte Carlo simulation on a discrete lattice. Variation of the equilibrium interface width $W_r$…

软凝聚态物质 · 物理学 2007-05-23 Frank W. Bentrem , Ras B. Pandey

Recent computational investigations in polymeric and non-polymeric binary mixtures have reported anomalous relaxation features when both components exhibit very different mobilities. Anomalous relaxation is characterized by sublinear power…

软凝聚态物质 · 物理学 2015-06-25 Angel J. Moreno , Juan Colmenero

A new master equation to mimic the dynamics of a collection of interacting random walkers in an open system is proposed and solved numerically.In this model, the random walkers interact through excluded volume interaction (single-file…

软凝聚态物质 · 物理学 2007-05-23 Prasanth P Jose , Biman Bagchi

Long-range interacting many-body systems exhibit a number of peculiar and intriguing properties. One of those is the scaling of relaxation times with the number $N$ of particles in a system. In this paper I give a survey of results on…

统计力学 · 物理学 2017-02-14 Michael Kastner

We investigate numerically using the bond--fluctuation model the adsorption of a random AB--copolymer at the interface between two solvents. From our results we infer several scaling relations: the radius of gyration of the copolymer in the…

凝聚态物理 · 物理学 2009-10-28 Gongwen Peng , Jens-Uwe Sommer , Alexander Blumen

A general kind of models with hierarchically constrained dynamics is shown to exhibit logarithmic anomalous relaxation, similarly to a variety of complex strongly interacting materials. The logarithmic behavior describes most of the decay…

统计力学 · 物理学 2009-10-31 J. J. Brey , A. Prados

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…

软凝聚态物质 · 物理学 2016-08-31 S. M. Clarke , E. M. Terentjev

In this paper, we analyze the dynamics of the Coulomb Glass lattice model in three dimensions near a local equilibrium state by using mean-field approximations. We specifically focus on understanding the role of localization length ($\xi$)…

无序系统与神经网络 · 物理学 2021-03-31 Preeti Bhandari , Vikas Malik , Deepak Kumar , Moshe Schechter

Usually, the relaxation times of a gas are estimated in the frame of the Boltzmann equation. In this paper, instead, we deal with the relaxation problem in the frame of the dynamical theory of Hamiltonian systems, in which the definition…

数学物理 · 物理学 2011-12-26 A. M. Maiocchi , A. Carati

We study analytically the relaxation eigenmodes of a simple Monte Carlo algorithm, corresponding to a particle in a box which moves by uniform random jumps. Moves outside of the box are rejected. At long times, the system approaches the…

统计力学 · 物理学 2023-06-14 Alexei D. Chepelianskii , Satya N. Majumdar , Hendrik Schawe , Emmanuel Trizac

An off-lattice Monte Carlo algorithm for solutions of equilibrium polymers (EP) is proposed. At low and moderate densities this is shown to reproduce faithfully the (static) properties found recently for flexible linear EP using a lattice…

统计力学 · 物理学 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

We present simulations on a binary blend of bead-spring polymer chains. The introduction of monomer size disparity yields very different relaxation times for each component of the blend. Competition between two different arrest mechanisms,…

软凝聚态物质 · 物理学 2007-05-23 Angel J. Moreno , Juan Colmenero

The influence of an external flow on the relaxation dynamics of a single polymer is investigated theoretically and numerically. We show that a pronounced dynamical slowdown occurs in the vicinity of the coil-stretch transition, especially…

混沌动力学 · 物理学 2007-05-23 Antonio Celani , Alberto Puliafito , Dario Vincenzi

We study the classical dimer model on a square lattice with a single vacancy by developing a graph-theoretic classification of the set of all configurations which extends the spanning tree formulation of close-packed dimers. With this…

统计力学 · 物理学 2007-10-31 J. Bouttier , M. Bowick , E. Guitter , M. Jeng

We investigate the nature of friction in granular layers by means of numerical simulation focusing on the critical slip distance, over which the system relaxes to a new stationary state. Analyzing a transient process in which the sliding…

地球物理 · 物理学 2009-10-19 Takahiro Hatano

We study the relaxation of the Metropolis Monte Carlo algorithm corresponding to a single particle trapped in a one-dimensional confining potential, with even jump distributions that ensure that the dynamics verifies detailed balance.…

统计力学 · 物理学 2025-02-03 A. Patrón , A. D. Chepelianskii , A. Prados , E. Trizac

We have studied the approach to equilibrium of islands and pores in two dimensions. The two-regime scenario observed when islands evolve according to a set of particular rules, namely relaxation by steps at low temperature and smooth at…

材料科学 · 物理学 2009-11-10 Jose L. Iguain , Laurent J. Lewis