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We benchmark the ground state energies and the density profiles of atomic repulsive Fermi gases in optical lattices computed via Density Functional Theory (DFT) against the results of diffusion Monte Carlo (DMC) simulations. The main focus…

量子气体 · 物理学 2018-06-12 S. Pilati , I. Zintchenko , M. Troyer , F. Ancilotto

Monte Carlo methods are used to study the phase transition in ammonium chloride from the orientationally ordered $\delta$ phase to the orientationally disordered $\gamma$ phase. An effective pair potential is used to model the interaction…

chem-ph · 物理学 2008-02-03 Robert Q. Topper , David L. Freeman

We present a Monte Carlo method that allows efficient and unbiased sampling of Hamiltonian walks on a cubic lattice. Such walks are self-avoiding and visit each lattice site exactly once. They are often used as simple models of globular…

统计力学 · 物理学 2013-05-29 Jesper Lykke Jacobsen

Properties that are necessarily formulated within pure (symmetric) expectation values are difficult to calculate for projector quantum Monte Carlo approaches, but are critical in order to compute many of the important observable properties…

计算物理 · 物理学 2015-06-23 Catherine Overy , George H. Booth , N. S. Blunt , James Shepherd , Deidre Cleland , Ali Alavi

We propose a multilevel Monte Carlo method for a particle-based asymptotic-preserving scheme for kinetic equations. Kinetic equations model transport and collision of particles in a position-velocity phase-space. With a diffusive scaling,…

数值分析 · 数学 2020-05-21 Emil Løvbak , Giovanni Samaey , Stefan Vandewalle

We present a method for the evaluation of the interaction potential of an equilibrium classical system starting from the (partial) knowledge of its structure factor. The procedure is divided into two phases both of which are based on the…

统计力学 · 物理学 2012-06-22 Marco D'Alessandro

In simulations of crystals, unlike liquids or gases, it may happen that the properties of the studied system depend not only on the volume of the simulation cell but also on its shape. For such cases it is desirable to change the shape of…

计算物理 · 物理学 2022-10-04 A. Baumketner

We investigate the properties of the Hybrid Monte-Carlo algorithm (HMC) in high dimensions. HMC develops a Markov chain reversible w.r.t. a given target distribution $\Pi$ by using separable Hamiltonian dynamics with potential $-\log\Pi$.…

We consider self-avoiding lattice polygons, in the hypercubic lattice, as a model of a ring polymer adsorbed at a surface and either being desorbed by the action of a force, or pushed towards the surface. We show that, when there is no…

统计力学 · 物理学 2018-02-14 AJ Guttmann , EJ Janse van Rensburg , I Jensen , SG Whittington

Path-Integral-Monte-Carlo simulation has been used to calculate the properties of a two-dimensional (2D) interacting Bose system. The bosons interact with hard-core potentials and are confined to a harmonic trap. Results for the density…

统计力学 · 物理学 2007-05-23 Stefan Heinrichs , William J. Mullin

Efficient and accurate algorithm for partition function, free energy and thermal entropy calculations is of great significance in statistical physics and quantum many-body physics. Here we present an unbiased but low-technical-barrier…

统计力学 · 物理学 2024-11-19 Yi-Ming Ding , Jun-Song Sun , Nvsen Ma , Gaopei Pan , Chen Cheng , Zheng Yan

A technique for reducing the number of integrals in a Monte Carlo calculation is introduced. For integrations relying on classical or mean-field trajectories with local weighting functions, it is possible to integrate analytically at least…

统计力学 · 物理学 2024-05-17 Jarod Tall , Steven Tomsovic

By means of detailed Monte Carlo (MC) simulations, we have presented dynamic phase transition (DPT) properties of ferromagnetic thin-films. Thermal variations of surface, bulk and total dynamical order parameters (DOP) for a film and total…

统计力学 · 物理学 2016-01-06 Bahadır Ozan Aktaş , Erol Vatansever , Hamza Polat

We derive a Kinetic Monte Carlo model for studying how contacts form between confined surfaces in an ideal solution. The model incorporates repulsive and attractive surface-surface forces between a periodic (2+1)-dimensional solid-on-solid…

软凝聚态物质 · 物理学 2020-06-04 Jørgen Høgberget , Anja Røyne , Dag K. Dysthe , Espen Jettestuen

Colloids have a striking relevance in a wide spectrum of industrial formulations, spanning from personal care products to protective paints. Their behaviour can be easily influenced by extremely weak forces, which disturb their…

软凝聚态物质 · 物理学 2018-06-14 Daniel Corbett , Alejandro Cuetos , Matthew Dennison , Alessandro Patti

Algorithms based on Monte-Carlo sampling have been widely adapted in robotics and other areas of engineering due to their performance robustness. However, these sampling-based approaches have high computational requirements, making them…

机器人学 · 计算机科学 2020-07-16 Yanqi Liu , Giuseppe Calderoni , R. Iris Bahar

The electron inertia term and the off-diagonal electron pressure terms are well-known for the frozen-in condition breakdown in collisionless magnetic reconnection, which are naturally kinetic and difficult to be employed in…

等离子体物理 · 物理学 2025-06-12 H. W. Zhang , Z. W. Ma , T. Chen

The ultra-cold and weakly-coupled Fermi gas in two spatial dimensions is studied in an effective field theory framework. It has long been observed that universal corrections to the energy density to two orders in the interaction strength do…

量子气体 · 物理学 2023-04-26 Silas R. Beane , Gianluca Bertaina , Roland C. Farrell , William R. Marshall

In this work a replica exchange Monte Carlo scheme which considers an extended isobaric-isothermal ensemble with respect to pressure is applied to study hard spheres (HS). The idea behind the proposal is expanding volume instead of…

统计力学 · 物理学 2015-05-20 Gerardo Odriozola

With a novel 3D discrete-element method specially developed with adhesive contact mechanics, random loose packings of uniform spherical micron-sized particles are fully investigated. The results show that large velocity, large size or weak…

软凝聚态物质 · 物理学 2016-09-12 Wenwei Liu , Shuiqing Li , Sheng Chen
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