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An off-lattice Monte Carlo algorithm for solutions of equilibrium polymers (EP) is proposed. At low and moderate densities this is shown to reproduce faithfully the (static) properties found recently for flexible linear EP using a lattice…

统计力学 · 物理学 2009-10-31 A. Milchev , J. P. Wittmer , D. P. Landau

We report an essential improvement of the plain Fourier Monte Carlo algorithm that promises to be a powerful tool for investigating critical behavior in a large class of lattice models, in particular those containing microscopic or…

统计力学 · 物理学 2015-02-17 Andreas Tröster

Hard spheres are arguably one of the most fundamental model systems in soft matter physics, and hence a common topic of simulation studies. Event-driven simulation methods provide an efficient method for studying the phase behavior and…

软凝聚态物质 · 物理学 2022-01-05 Frank Smallenburg

We study the glassy transition for simple liquids in the hypernetted chain (HNC) approximation by means of an effective potential recently introduced. Integrating the HNC equations for hard spheres, we find a transition scenario analogous…

统计力学 · 物理学 2009-10-30 Miguel Cardenas , Silvio Franz , Giorgio Parisi

Strongly correlated fermionic systems are of great interest in condensed matter physics and numerical methods are indispensable tools for their study. However, existing approaches such as exact diagonalization (ED) and stochastic quantum…

强关联电子 · 物理学 2026-03-19 Finn L. Temmen , Martina Gisti , David J. Luitz , Thomas Luu , Johann Ostmeyer

A new Markov Chain Monte Carlo method for simulating the dynamics of molecular systems characterized by hard-core interactions is introduced. In contrast to traditional Kinetic Monte Carlo approaches, where the state of the system is…

计算物理 · 物理学 2017-02-07 Liborio I. Costa

We apply the event-chain Monte Carlo algorithm to classical continuum spin models on a lattice and clarify the condition for its validity. In the two-dimensional XY model, it outperforms the local Monte Carlo algorithm by two orders of…

统计力学 · 物理学 2018-09-13 Manon Michel , Johannes Mayer , Werner Krauth

Two coarse-grained models for polymer chains in dense glass-forming polymer melts are studied by computer simulation: the bond-fluctuation model on a simple cubic lattice, where a bond-length potential favors long bonds, is treated by…

软凝聚态物质 · 物理学 2007-05-23 K. Binder , J. Baschnagel , C. Bennemann , W. Paul

Equilibrium sampling of the configuration space in disordered systems requires algorithms that bypass the glassy slowing down of the physical dynamics. Irreversible Monte Carlo algorithms breaking detailed balance successfully accelerate…

无序系统与神经网络 · 物理学 2024-07-15 Federico Ghimenti , Ludovic Berthier , Frédéric van Wijland

We present computer simulations of a dynamic Monte Carlo algorithm for polymer chains on the FCC lattice which takes explicitly into account the possibility to overcome topological constraints by controlling the rate at which nearby polymer…

软凝聚态物质 · 物理学 2021-12-01 Mattia Alberto Ubertini , Angelo Rosa

We describe and analyze some Monte Carlo methods for manifolds in Euclidean space defined by equality and inequality constraints. First, we give an MCMC sampler for probability distributions defined by un-normalized densities on such…

数值分析 · 数学 2017-09-21 Emilio Zappa , Miranda Holmes-Cerfon , Jonathan Goodman

Irreversible and rejection-free Monte Carlo methods, recently developed in Physics under the name Event-Chain and known in Statistics as Piecewise Deterministic Monte Carlo (PDMC), have proven to produce clear acceleration over standard…

统计计算 · 统计学 2020-04-28 Manon Michel , Alain Durmus , Stéphane Sénécal

The extreme slowing down associated with glass formation in experiments and in simulations results in serious difficulties to prepare deeply quenched, well annealed, glassy material. Recently, methods to achieve such deep quenching were…

软凝聚态物质 · 物理学 2020-07-08 Bhanu Prasad Bhowmik , Valery Iylin , Itamar Procaccia

Monte Carlo simulation provides a powerful tool for understanding and exploring thermodynamic phase equilibria in many-particle interacting systems. Among the most physically intuitive simulation methods is Gibbs ensemble Monte Carlo…

统计力学 · 物理学 2015-06-12 Alan R. Denton , Michael P. Schmidt

We study statistical model checking of continuous-time stochastic hybrid systems. The challenge in applying statistical model checking to these systems is that one cannot simulate such systems exactly. We employ the multilevel Monte Carlo…

系统与控制 · 计算机科学 2017-06-27 Sadegh Esmaeil Zadeh Soudjani , Rupak Majumdar , Tigran Nagapetyan

The physics of crystalline membranes, i.e. fixed-connectivity surfaces embedded in three dimensions and with an extrinsic curvature term, is very rich and of great theoretical interest. To understand their behavior, numerical simulations…

计算物理 · 物理学 2009-10-30 G. Thorleifsson , M. Falcioni

We propose an efficient Monte Carlo algorithm for simulating a ``hardly-relaxing" system, in which many replicas with different temperatures are simultaneously simulated and a virtual process exchanging configurations of these replica is…

凝聚态物理 · 物理学 2009-10-28 Koji Hukushima , Koji Nemoto

Monte Carlo simulations of the colloidal epitaxy of hard spheres (HSs) on a square pattern have been performed. This is an extension of previous simulations; we observed a shrinking intrinsic stacking fault running in an oblique direction…

软凝聚态物质 · 物理学 2013-05-09 Atsushi Mori

We describe a Monte Carlo procedure which allows sampling of the disjoint configuration spaces associated with crystalline and fluid phases, within a single simulation. The method utilises biased sampling techniques to enhance the…

统计力学 · 物理学 2009-10-31 N. B. Wilding , A. D. Bruce

Reliable theoretical predictions of noncovalent interaction energies, which are important e.g. in drug-design and hydrogen-storage applications, belong to longstanding challenges of contemporary quantum chemistry. In this respect, the…

化学物理 · 物理学 2016-06-06 Matúš Dubecký , René Derian , Petr Jurečka , Lubos Mitas , Pavel Hobza , Michal Otyepka