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We describe collective-move Monte Carlo algorithms designed to approximate the overdamped dynamics of self-assembling nanoscale components equipped with strong, short-ranged and anisotropic interactions. Conventional Monte Carlo simulations…

Statistical Mechanics · Physics 2012-04-16 Stephen Whitelam

The static and dynamic roughenings of a growing crystalline facet is studied where the growth mechanism is controlled by a restricted-curvature (RC) geometry. A continuum equation, in analogy with the Kardar-Parisi-Zhang (KPZ) equation is…

Statistical Mechanics · Physics 2007-05-23 Amit Kr. Chattopadhyay

Crystal growth and crystal coalescence processes in supercooled systems strongly depend on the concentration of crystallization centers. We perform atomistic dynamics simulations of the crystallization process in the ultrathin metallic film…

Materials Science · Physics 2019-09-04 Bulat N. Galimzyanov , Vladimir I. Ladyanov , Anatolii V. Mokshin

We introduce a `virtual-move' Monte Carlo (VMMC) algorithm for systems of pairwise-interacting particles. This algorithm facilitates the simulation of particles possessing attractions of short range and arbitrary strength and geometry, an…

Statistical Mechanics · Physics 2009-11-11 Stephen Whitelam , Phillip L. Geissler

We consider the model of random sequential adsorption, with depositing objects, as well as those already at the surface, decreasing in size according to a specified time dependence, from a larger initial value to a finite value in the large…

Mathematical Physics · Physics 2010-10-12 Oleksandr Gromenko , Vladimir Privman

Colloidal particles suspended in liquid crystals can exhibit various effective anisotropic interactions that can be tuned and utilized in self-assembly processes. We simulate a two-dimensional system of hard disks suspended in a solution of…

Soft Condensed Matter · Physics 2020-07-30 David Müller , Tobias A. Kampmann , Jan Kierfeld

We formulate a model for a cooperative ballistic deposition (CBD) process whereby the incoming particles are correlated with the ones already adsorbed via attractive force. The strength of the correlation is controlled by a tunable…

Statistical Mechanics · Physics 2016-08-31 M. K. Hassan , N. Wessel , J. Kurths

Rigidity percolation provides an important basis for understanding the onset of mechanical stability in disordered materials. While most studies on the triangular lattice have focused on static properties at fixed bond~(site) occupation…

Statistical Mechanics · Physics 2026-01-30 Mingzhong Lu , Yufeng Song , Qiyuan Shi , Ming Li , Youjin Deng

We study the early time dynamics of the 2d ferromagnetic Ising model instantaneously quenched from the disordered to the ordered, low temperature, phase. We evolve the system with kinetic Monte Carlo rules that do not conserve the order…

Statistical Mechanics · Physics 2018-02-07 Thibault Blanchard , Leticia F. Cugliandolo , Marco Picco , Alessandro Tartaglia

The morphological scaling properties of linear polymer films grown by vapor deposition polymerization (VDP) are studied by 1+1D Monte Carlo simulations. The model implements the basic processes of random angle ballistic deposition ($F$),…

Computational Physics · Physics 2010-10-25 Sairam Tangirala , David P. Landau , Y. -P. Zhao

Using Monte Carlo simulations, we show that for a certain model of biological evolution, which is driven by non-extremal dynamics, active and absorbing phases are separated by a critical phase. In this phase both the density of active sites…

Statistical Mechanics · Physics 2009-10-31 Adam Lipowski

The influence of lateral adsorbate diffusion on the dynamics of the first-order phase transition in a two-dimensional Ising lattice gas with attractive nearest-neighbor interactions is investigated by means of kinetic Monte Carlo…

Materials Science · Physics 2007-05-23 Stefan Frank , Per Arne Rikvold

The diffusion-driven self-assembly of rod-like particles was studied by means of Monte Carlo simulation. The rods were represented as linear $k$-mers (i.e., particles occupying $k$ adjacent sites). In the initial state, they were deposited…

In this journal, we study the phase-field model of solidification for numerical simulation of dendritic crystal growth that occurs during the casting of metals and alloys based on the kobayashi [1] model. Qualitative relationships between…

Numerical Analysis · Mathematics 2014-12-11 Rahul Sanal

Using a non-perturbative classical approach, we study the dynamics of a mobile particle interacting with an infinite one-dimensional (1D) chain of harmonic oscillators. This minimal system is an effective model for many 1D transport…

Mesoscale and Nanoscale Physics · Physics 2023-02-02 Harshitra Mahalingam , Zhun Wai Yap , Ben A. Olsen , Aleksandr Rodin

The one-dimensional kinetic contact process with parallel update is introduced and studied by Monte Carlo simulations. This process is proposed to describe the plant population replication and epidemic disease spreading among them. The…

Statistical Mechanics · Physics 2008-04-22 P. N. Timonin , G. Y. Chitov

We investigate the self-assembly (crystallisation) of particles with hard cores and isotropic, square-well interactions, using a Monte Carlo scheme to simulate overdamped Langevin dynamics. We measure correlation and response functions…

Soft Condensed Matter · Physics 2015-03-19 Daphne Klotsa , Robert L. Jack

Characteristics of relaxed density profile and conformation of polymer chains are studied by a Monte Carlo simulation on a discrete lattice in three dimensions using different segmental (kink-jump $K$, crank-shaft $C$, reptation $R$)…

Soft Condensed Matter · Physics 2007-05-23 Frank W. Bentrem , Jun Xie , R. B. Pandey

Using computer simulations we investigate the homogeneous crystal nucleation in suspensions of colloidal hard dumbbells. The free energy barriers are determined by Monte Carlo simulations using the umbrella sampling technique. We calculate…

Soft Condensed Matter · Physics 2012-08-17 Ran Ni , Marjolein Dijkstra

A growth model which describes the deposition of particles (or the growth of a rigid crystal) on a disordered substrate is investigated. The dynamic renormalization group is applied to the stochastic growth equation using the Martin, Sigga,…

Condensed Matter · Physics 2009-10-22 Yan-Chr Tsai , Yonathan Shapir