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We discuss a sampling algorithm which generates flat histogram in energy. In combination with transition matrix Monte Carlo, the density of states and derived quantities such as entropy and free energy as a function of temperature can be…

Statistical Mechanics · Physics 2009-10-31 Jian-Sheng Wang

We investigate by Molecular Dynamics simulation a system of $N$ particles moving on the surface of a two-dimensional sphere and interacting by a Lennard-Jones potential. We detail the way to account for the changes brought by a nonzero…

Statistical Mechanics · Physics 2015-06-18 Julien-Piera Vest , Gilles Tarjus , Pascal Viot

We have developed a path integral Monte Carlo method for simulating helium films and apply it to the second layer of helium adsorbed on graphite. We use helium-helium and helium-graphite interactions that are found from potentials which…

Condensed Matter · Physics 2009-10-31 Marlon Pierce , Efstratios Manousakis

In this work, we introduce a simple modification of the Monte Carlo algorithm, which we call step Monte Carlo (sMC). The sMC approach allows to simulate processes far from equilibrium and obtain information about the dynamic properties of…

Other Condensed Matter · Physics 2023-12-15 Dariusz Sztenkiel

Membrane phase-separation is a mechanism that biological membranes often use to locally concentrate specific lipid species in order to organize diverse membrane processes. Phase separation has also been explored as a tool for the design of…

Computational Physics · Physics 2020-06-26 Alexander Zhiliakov , Yifei Wang , Annalisa Quaini , Maxim Olshanskii , Sheereen Majd

The histogram reweighting technique, widely used to analyze Monte Carlo data, is shown to be applicable to dynamic properties obtained from Molecular Dynamics simulations. The theory presented here is based on the fact that the correlation…

Statistical Mechanics · Physics 2009-11-11 Carlos Nieto-Draghi , Javier Perez-Pellitero , Josep Bonet Avalos

Monte Carlo simulations are performed for the S = 1/2 XY and ferro- and antiferromagnetic Heisenberg model in two dimensions using the loop algorithm. Thermodynamic properties of all these models are investigated in wide temperature range.…

Statistical Mechanics · Physics 2013-02-07 A. K. Murtazaev , M. A. Magomedov

A microscopic model is proposed for the interactions between sickle hemoglobin molecules based on information from the protein data bank. A Monte Carlo simulation of a simplified two patch model is carried out, with the goal of…

Soft Condensed Matter · Physics 2009-11-11 Andrey Shiryayev , Xiaofei Li , James D. Gunton

We consider a cellular monolayer, described using a vertex-based model, for which cells form a spatially disordered array of convex polygons that tile the plane. Equilibrium cell configurations are assumed to minimize a global energy…

Cell Behavior · Quantitative Biology 2018-05-30 Alexander Nestor-Bergmann , Emma Johns , Sarah Woolner , Oliver E. Jensen

We investigate the slow dynamics in gelling systems by means of MonteCarlo simulations on the cubic lattice of a minimal statistical mechanics model. By opportunely varying some model parameter we are able to describe a crossover from the…

Soft Condensed Matter · Physics 2015-06-24 E. Del Gado , A. Fierro , L. de Arcangelis , A. Coniglio

This letter describes a novel approach for determining the surface tension of a model system that is applicable over the entire liquid-vapor coexistence region. At the heart of the method is a new technique for determining coexistence…

Statistical Mechanics · Physics 2009-11-07 Jeffrey R. Errington

Specialized Monte Carlo methods are nowadays routinely employed, in combination with thermodynamic integration (TI), to locate phase boundaries of classical many-particle systems. This is especially useful for the fluid-solid transition,…

Statistical Mechanics · Physics 2015-09-09 M. C. Abramo , C. Caccamo , D. Costa , P. V. Giaquinta , G. Malescio , G. Munao' , S. Prestipino

We consider a lattice model for amphiphiles in a solvent with molecules chemically similar to one part of the amphiphilic molecule. The dependence of the interaction potential on orientation of the amphiphilic molecules is taken into…

Soft Condensed Matter · Physics 2014-11-14 Jakub Pękalski , Paweł Rogowski , Alina Ciach

Two-component submonolayer growth on triangular lattice is qualitatively studied by kinetic Monte Carlo techniques. The hopping barrier governing surface diffusion of the atoms is estimated with an improved formula and using realistic pair…

Soft Condensed Matter · Physics 2007-07-06 Robert Deak , Zoltan Neda , Peter B. Barna

Algorithms to determine transition probabilities in Monte Carlo simulations are tested using a system of classical particles with effective interactions which reproduce Bose-Einstein statistics. The system is appropriate for testing…

Statistical Mechanics · Physics 2021-01-11 Marisel Di Pietro Martínez , Martín Giuliano , Miguel Hoyuelos

A first-order phase transition separating the smooth phase from the crumpled one is found in a fixed connectivity surface model defined on a disk. The Hamiltonian contains the Gaussian term and an intrinsic curvature term.

Soft Condensed Matter · Physics 2009-11-11 M. Igawa , H. Koibuchi , M. Yamada

We study the thermodynamics of classical Heisenberg model using the multipath approach to Metropolis algorithm Monte Carlo simulation. This simulation approach produces uncorrelated results with known precision. Also, it can be easily…

Statistical Mechanics · Physics 2014-02-21 Petar Mali , Slobodan Radosevic , Predrag S. Rakic , Lazar Stricevic , Tara Petric

By means of the Direct Simulation Monte Carlo method, the Boltzmann equation is numerically solved for a gas of hard spheres enclosed between two parallel plates kept at different temperatures and subject to the action of a gravity field…

Statistical Mechanics · Physics 2008-09-15 E. E. Tahiri , M. Tij , A. Santos

In this paper we present a classical Monte Carlo simulation of the orthorhombic phase of crystalline polyethylene, using an explicit atom force field with unconstrained bond lengths and angles and periodic boundary conditions. We used a…

Materials Science · Physics 2009-10-28 R. Martonak , W. Paul , K. Binder

We propose an algorithm for molecular dynamics or Monte Carlo simulations that uses an interpolation procedure to estimate potential energy values from energies and gradients evaluated previously at points of a simplicial mesh. We chose an…

Computational Physics · Physics 2020-01-07 Konstantin Karandashev , Jiri Vanicek