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We consider several models with long-range interactions evolving via Hamiltonian dynamics. The microcanonical dynamics of the basic Hamiltonian Mean Field (HMF) model and perturbed HMF models with either global anisotropy or an on-site…

Statistical Mechanics · Physics 2009-11-13 Kavita Jain , Freddy Bouchet , David Mukamel

We study by Monte Carlo simulation the compaction dynamics of hard dimers in 2D under the action of gravity, subjected to vertical and horizontal shaking, considering also the case in which a friction force acts for horizontal displacements…

Statistical Mechanics · Physics 2016-08-31 C. Fusco , A. Fasolino , P. Gallo , A. Petri , M. Rovere

The effect of different Monte Carlo move sets on the the folding kinetics of lattice polymer chains is studied from the geometry of the conformation-network. The networks have the characteristics of small- world. The Monte Carlo move, rigid…

Statistical Mechanics · Physics 2009-11-11 Yu-Pin Luo , Hung-Yeh Lin , Ming-Chang Huang , Tsong-Ming Liaw

We consider an out-of-equilibrium one-dimensional model for two electrical double-layers. With a combination of exact calculations and Brownian Dynamics simulations, we compute the relaxation time ($\tau$) for an electroneutral salt-free…

Soft Condensed Matter · Physics 2021-08-11 Lucas Varela , Sergio Andraus , Emmanuel Trizac , Gabriel Téllez

We study the square-lattice XY model in the presence of random phase shifts. We consider two different disorder distributions with zero average shift and investigate the low-temperature quasi-long-range order phase which occurs for…

Disordered Systems and Neural Networks · Physics 2015-05-13 Vincenzo Alba , Andrea Pelissetto , Ettore Vicari

With Monte Carlo simulations, we investigate the relaxation dynamics with a domain wall for magnetic systems at the critical temperature. The dynamic scaling behavior is carefully analyzed, and a dynamic roughening process is observed. For…

Statistical Mechanics · Physics 2012-02-08 N. J. Zhou , B. Zheng

We present an analytical and numerical study of a nonlinear diffusion model which describes density relaxation of loosely packed particles under gravity and weak random (thermal) vibration, and compare the results with Monte Carlo…

Soft Condensed Matter · Physics 2009-11-10 Jeferson J. Arenzon , Yan Levin , Mauro Sellitto

Understanding the timescales associated with relaxation to equilibrium in closed quantum many-body systems is one of the central focuses in the study of their non-equilibrium dynamics. At late times, these relaxation processes exhibit…

Statistical Mechanics · Physics 2026-01-19 Kadir Çeven , Lukas Peinemann , Fabian Heidrich-Meisner

We develop off-lattice simulations of semiflexible polymer chains subjected to applied mechanical forces using Markov Chain Monte Carlo. Our approach models the polymer as a chain of fixed-length bonds, with configurations updated through…

Soft Condensed Matter · Physics 2024-11-26 Lijie Ding , Chi-Huan Tung , Bobby G. Sumpter , Wei-Ren Chen , Changwoo Do

In this paper we study crumpled surfaces through Monte Carlo Simulations. The crumpled surface is represented by a cluster of spins pointing up and spins pointing down represent the air both inside and around the surface. We follow the time…

Computational Physics · Physics 2008-10-23 Klauko P. Mota , Paulo Murilo C. de Oliveira

With Monte Carlo methods we investigate the dynamic relaxation of the fully frustrated XY model in two dimensions below or at the Kosterlitz-Thouless phase transition temperature. Special attention is drawn to the sublattice structure of…

Soft Condensed Matter · Physics 2009-10-30 H. J. Luo , L. Schuelke , B. Zheng

Large scale Monte Carlo simulations of dense layers of grafted polymer chains in good solvent conditions are used to explore the relaxation of a polymer brush. Monomer displacements are analyzed for the directions parallel and perpendicular…

Soft Condensed Matter · Physics 2021-04-13 Michael Lang , Marco Werner , Ron Dockhorn , Torsten Kreer

Monte Carlo (MC) simulations are used to study the dynamics of polymer translocation through a nanopore in the limit where the translocation rate is sufficiently slow that the polymer maintains a state of conformational quasi-equilibrium.…

Soft Condensed Matter · Physics 2015-06-12 James M. Polson , Anthony C. M. McCaffrey

Fluctuations of isolated and pairs of ascending steps of monoatomic height are studied in the framework of SOS models, using mainly Monte Carlo techniques. Below the roughening transistion of the surface, the profiles of long steps show the…

Statistical Mechanics · Physics 2009-11-07 W. Selke , F. Szalma , J. S. Hager

We study the static properties of a semiflexible polymer exposed to a quenched random environment by means of computer simulations. The polymer is modeled as two-dimensional Heisenberg chain. For the random environment we consider hard…

Soft Condensed Matter · Physics 2012-11-20 Sebastian Schoebl , Johannes Zierenberg , Wolfhard Janke

We study the localisation of lattice polymer models near a permeable interface in two dimensions. Localisation can arise due to an interaction between the polymer and the interface, and can be altered by a preference for the bulk solvent on…

Statistical Mechanics · Physics 2024-07-24 C J Bradly , N R Beaton , A L Owczarek

The localization kinetics of a regular block-copolymer of total length $N$ and block size $M$ at a selective liquid-liquid interface is studied in the limit of strong segregation between hydrophobic and polar segments in the chain. We…

Soft Condensed Matter · Physics 2009-11-11 A. Corsi , A. Milchev , V. G. Rostiashvili , T. A. Vilgis

We use an off-lattice microscopic model for solutions of equilibrium polymers (EP) in a lamellar shear flow generated by means of a self-consistent external field between parallel hard walls. The individual conformations of the chains are…

Soft Condensed Matter · Physics 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

While the structure of chromatin has been studied in great detail on length scales below 30 nm, amazingly little is known about the higher-order folding motifs of chromatin in interphase. Recent experiments give evidence that the folding…

Soft Condensed Matter · Physics 2009-02-16 Manfred Bohn , Dieter W. Heermann , Roel van Driel

Using a cluster-flipping Monte Carlo algorithm combined with a generalization of the histogram reweighting scheme of Ferrenberg and Swendsen, we have studied the equilibrium properties of the thermal random-field Ising model on a cubic…

Condensed Matter · Physics 2009-10-28 M. E. J. Newman , G. T. Barkema
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