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We study a trapped system of fermions with a zero-range two-body interaction using the shell-model Monte Carlo method, providing {\em ab initio} results for the low particle number limit where mean-field theory is not applicable. We present…

Superconductivity · Physics 2009-09-22 N. T. Zinner , K. Mølmer , C. Özen , D. J. Dean , K. Langanke

A kinetic Monte Carlo (KMC) method is presented to simulate the electrodeposition of a metal on a single crystal surface of the same metal under galvanostatic conditions. This method utilizes the multi-body embedded-atom method (EAM)…

Chemical Physics · Physics 2014-01-08 Tanyakarn Treeratanaphitak , Mark D. Pritzker , Nasser Mohieddin Abukhdeir

We elaborate on the methodology to simulate bulk systems in the absence of time-reversal symmetry by the phase-fixed path-integral Monte Carlo method under (possibly twisted) periodic boundary conditions. Such systems include…

Statistical Mechanics · Physics 2018-03-07 Tamás Haidekker Galambos , Csaba Toke

We develop a novel Monte Carlo strategy for the simulation of the Boltzmann-BGK model with both low-collisional and high-collisional regimes present. The presented solution to maintain accuracy in low-collisional regimes and remove…

Numerical Analysis · Mathematics 2020-12-23 Bert Mortier , Martine Baelmans , Giovanni Samaey

We introduce two novel quantum Monte Carlo methods and employ them to study the superfluid-insulator transition in a two-dimensional system of hard-core bosons. One of the methods is appropriate for zero temperature and is based upon…

Condensed Matter · Physics 2009-10-22 Shiwei Zhang , N. Kawashima , J. Carlson , J. E. Gubernatis

A grand canonical Monte Carlo (MC) algorithm is presented for studying the lattice gas model (LGM) of multiple protein sequence alignment, which coherently combines long-range interactions and variable-length insertions. MC simulations are…

Biomolecules · Quantitative Biology 2017-07-13 Akira R. Kinjo

We review a recently devised Monte Carlo simulation method for the direct study of quasi-stationary properties of stochastic processes with an absorbing state. The method is used to determine the static correlation function and the…

Statistical Mechanics · Physics 2009-11-10 Ronald Dickman , Marcelo Martins de Oliveira

We generalize the recently developed diagrammatic Monte Carlo techniques for quantum impurity models from an imaginary time to a Keldysh formalism suitable for real-time and nonequilibrium calculations. Both weak-coupling and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Philipp Werner , Takashi Oka , Andrew J. Millis

The basic idea of fast Monte Carlo (MC) simulations is to perform particle-based MC simulations with the excluded-volume interactions modeled by "soft" repulsive potentials that allow particle overlapping. This gives much faster system…

Soft Condensed Matter · Physics 2012-01-24 Qiang Wang

We utilize a two-gas model to simulate collective oscillations of a Bose-Einstein condensate at finite temperatures. The condensate is described using a generalized Gross-Pitaevskii equation, which is coupled to a thermal cloud modelled by…

Statistical Mechanics · Physics 2009-10-31 B. Jackson , C. S. Adams

We propose an efficient method for Monte Carlo simulation of quantum lattice models. Unlike most other quantum Monte Carlo methods, a single run of the proposed method yields the free energy and the entropy with high precision for the whole…

Statistical Mechanics · Physics 2009-11-10 Chiaki Yamaguchi , Naoki Kawashima , Yutaka Okabe

The Particle-In-Cell (PIC) and Monte Carlo Collisions (MCC) methods are workhorses of many numerical simulations of physical systems. Recently, it was pointed out that, while the two methods can be exactly - or nearly - energy-conserving…

Plasma Physics · Physics 2024-10-22 Jean-Luc Vay , Justin Ray Angus , Olga Shapoval , Remi Lehe , David Grote , Axel Huebl

The crystallization of a metastable melt is one of the most important non equilibrium phenomena in condensed matter physics, and hard sphere colloidal model systems have been used for several decades to investigate this process by…

Soft Condensed Matter · Physics 2015-05-20 Tanja Schilling , Sven Dorosz , Hans Joachim Schoepe , George Opletal

We use replica exchange Monte-Carlo simulations to measure the equilibrium equation of state of the disordered fluid state for a binary hard sphere mixture up to very large densities where standard Monte-Carlo simulations do not easily…

Statistical Mechanics · Physics 2011-02-04 Gerardo Odriozola , Ludovic Berthier

The study of alloys using computational methods has been a difficult task due to the usually unknown stoichiometry and local atomic ordering of the different structures experimentally. In order to combat this, first-principles methods have…

Materials Science · Physics 2021-12-08 Daniel Wines , Kayahan Saritas , Can Ataca

We present a new, for plasma physics, highly efficient multilevel Monte Carlo numerical method for simulating Coulomb collisions. The method separates and optimally minimizes the finite-timestep and finite-sampling errors inherent in the…

Plasma Physics · Physics 2015-08-12 M. S. Rosin , L. F. Ricketson , A. M. Dimits , R. E. Caflisch , B. I. Cohen

For the first time, we report a unified microscopic-macroscopic Monte Carlo simulation of gas-grain chemistry in cold interstellar clouds in which both the gas-phase and the grain surface chemistry are simulated by a stochastic technique.…

Astrophysics of Galaxies · Physics 2015-06-11 Qiang Chang , Eric Herbst

Being motivated by the surge of fermionic quantum Monte Carlo simulations at finite temperature, we present a detailed analysis of the permutation-cycle properties of path integral Monte Carlo (PIMC) simulations of degenerate electrons.…

Computational Physics · Physics 2019-07-24 Tobias Dornheim , Simon Groth , Alexei Filinov , Michael Bonitz

The Large Hadron Collider's high luminosity era presents major computational challenges in the analysis of collision events. Large amounts of Monte Carlo (MC) simulation will be required to constrain the statistical uncertainties of the…

Polaron tunneling is a prominent example of a problem characterized by different energy scales, for which the standard quantum Monte Carlo methods face a slowdown problem. We propose a new quantum-tunneling Monte Carlo (QTMC) method which…

Quantum Gases · Physics 2021-04-14 A. S. Popova , V. V. Tiunova , A. N. Rubtsov
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