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We show that information about scattering data of a quantum field theory can be obtained from studying the system at finite density and low temperatures. In particular we consider models formulated on the lattice which can be exactly…

High Energy Physics - Lattice · Physics 2015-12-16 Falk Bruckmann , Christof Gattringer , Thomas Kloiber , Tin Sulejmanpasic

The Monte Carlo carbyne model is modified to investigate the glass transition of the semi-flexible entangled polymer chains. The stochastic bombardment between monomers are monitored by Metropolis algorithm with help of the consideration of…

Computational Physics · Physics 2018-10-17 C. H. Wong , L. Xue , E. A. Buntov , A. F. Zatsepin

We investigate by means of Monte Carlo simulations the dynamic phase transition of the two-dimensional kinetic Blume-Capel model under a periodically oscillating magnetic field in the presence of a quenched random crystal-field coupling. We…

Statistical Mechanics · Physics 2021-08-10 Alexandros Vasilopoulos , Zeynep Demir Vatansever , Erol Vatansever , Nikolaos G. Fytas

We study structure and fluid-phase behaviour of a binary mixture of hard spheres (HSs) and hard spherocylinders (HSCs) in isotropic and nematic states using the $NP_nAT$ ensemble Monte Carlo (MC) method in which a normal pressure tensor…

Soft Condensed Matter · Physics 2015-08-18 Liang Wu , Alexandr Malijevský , George Jackson , Erich A. Müller , Carlos Avendaño

We study the critical behavior of a generalized icosahedral model on the simple cubic lattice. The field variable of the icosahedral model might take one of twelve vectors of unit length, which are given by the normalized vertices of the…

Statistical Mechanics · Physics 2020-07-13 Martin Hasenbusch

We present the full phase diagram of the dumbbell model of spin ice as a function of temperature, chemical potential and staggered chemical potential which breaks the translational lattice symmetry in favour of charge crystal ordering. We…

Strongly Correlated Electrons · Physics 2019-06-24 V. Raban , C. T. Suen , L. Berthier , P. C. W. Holdsworth

Recently it is shown that there are three families of stochastic one-dimensional non-equilibrium lattice models for which the single-shock measures form an invariant subspace of the states of these models. Here, both the stationary states…

Statistical Mechanics · Physics 2007-05-23 Maryam Arabsalmani , Amir Aghamohammadi

We introduce a general Monte Carlo scheme for achieving atomistic simulations with monoelectronic Hamiltonians including the thermalization of both nuclear and electronic degrees of freedom. The kinetic Monte Carlo algorithm is used to…

Materials Science · Physics 2009-11-07 F. Calvo , F. Spiegelman

We show in this paper the results on the phase transition of the so-called fully frustrated simple cubic lattice with the Ising spin model. We use here the Monte Carlo method with the flat energy-histogram Wang-Landau technique which is…

Statistical Mechanics · Physics 2015-05-20 V. Thanh Ngo , D. Tien Hoang , Hung The Diep

We present a new lattice Monte Carlo approach developed for studying large numbers of strongly interacting nonrelativistic fermions, and apply it to a dilute gas of unitary fermions confined to a harmonic trap. Our lattice action is highly…

High Energy Physics - Lattice · Physics 2011-11-04 Michael G. Endres , David B. Kaplan , Jong-Wan Lee , Amy N. Nicholson

We have developed a novel Monte Carlo method for simulating the dynamical evolution of stellar systems in arbitrary geometry. The orbits of stars are followed in a smooth potential represented by a basis-set expansion and perturbed after…

Astrophysics of Galaxies · Physics 2014-12-04 Eugene Vasiliev

We study the influence of thermal fluctuations in the phase diagram of a recently introduced two-dimensional phase field crystal model with an external pinning potential. The model provides a continuum description of pinned lattice systems…

Materials Science · Physics 2008-09-10 J. A. P. Ramos , E. Granato , C. V. Achim , S. C. Ying , K. R. Elder , T. Ala-Nissila

We report the results of simulations of the Lebwohl-Lasher model of the nematic-isotropic transition using a new cluster Monte Carlo algorithm. The algorithm is a modification of the Wolff algorithm for spin systems, and greatly reduces…

Soft Condensed Matter · Physics 2009-10-31 N. Priezjev , Robert A. Pelcovits

One of the most significant drawbacks of the all-electron ab initio diffusion Monte Carlo (DMC) is that its computational cost drastically increases with the atomic number ($Z$), which typically scales with $Z^{\sim 6}$. In this study, we…

Computational Physics · Physics 2020-04-15 Kousuke Nakano , Ryo Maezono , Sandro Sorella

Lattice simulations are an important class of problems in crystalline solids, surface science, alloys, adsorption, absorption, separation, catalysis, to name a few. We describe a fast computational method for performing lattice…

Statistical Mechanics · Physics 2023-07-24 Suhail Haque , Abhijit Chatterjee

We show how a Monte Carlo method for generating self-avoiding walks on lattice geometries which employs a binary-tree data structure can be adapted for hard-sphere polymers with continuous degrees of freedom. Data suggests that the time per…

Statistical Mechanics · Physics 2023-12-01 Stefan Schnabel , Wolfhard Janke

We report the status of a high-statistics Monte Carlo simulation of non-self-avoiding crystalline surfaces with extrinsic curvature on lattices of size up to $128^2$ nodes. We impose free boundary conditions. The free energy is a gaussian…

High Energy Physics - Lattice · Physics 2009-10-28 K. N. Anagnostopoulos , M. J. Bowick , S. M. Catterall , M. Falcioni , G. Thorleifsson

Atomistic rigid lattice Kinetic Monte Carlo is an efficient method for simulating nano-objects and surfaces at timescales much longer than those accessible by molecular dynamics. A laborious part of constructing any Kinetic Monte Carlo…

A lattice boson model is used to study ordering phenomena in regular 2D array of superconductive mesoscopic granules, Josephson junctions or pores filled with a superfluid helium. Phase diagram of the system, when quantum fluctuations of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. I. Belousov , S. A. Verzakov , Yu. E. Lozovik

We analyze the phase diagram of a model of hard spheres of chemical radius one, which is defined over a generalized Bethe lattice containing short loops. We find a liquid, two different crystalline, a glassy and an unusual crystalline…

Statistical Mechanics · Physics 2009-11-11 Hendrik Hansen-Goos , Martin Weigt