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We show how to apply the absorbing Markov chain Monte Carlo algorithm of Novotny to simulate kinetically constrained models of glasses. We consider in detail one-spin facilitated models, such as the East model and its generalizations to…

统计力学 · 物理学 2009-11-11 Douglas J. Ashton , Lester O. Hedges , Juan P. Garrahan

We present a recursive procedure to calculate the parameters of the recently introduced multicanonical ensemble and explore the approach for spin glasses. Temperature dependence of the energy, the entropy and other physical quantities are…

高能物理 - 格点 · 物理学 2009-01-23 Bernd A. Berg , Tarik Celik

Monte Carlo simulations have boosted the numerical study of several different physical systems and in particular, the canonical ensemble has been especially useful because of the existence of easy and efficient relaxation algorithms…

统计力学 · 物理学 2019-10-29 G. Palma , A. Riveros

In complex systems with many degrees of freedom such as spin glass and biomolecular systems, conventional simulations in canonical ensemble suffer from the quasi-ergodicity problem. A simulation in generalized ensemble performs a random…

统计力学 · 物理学 2008-06-24 Y. Okamoto

A sampling method for spin systems is presented. The spin lattice is written as the union of a nested sequence of sublattices, all but the last with conditionally independent spins, which are sampled in succession using their marginals. The…

数值分析 · 数学 2008-02-09 Alexandre Chorin

Elastic systems that are spatially heterogeneous in their mechanical response pose special challenges for molecular simulations. Standard methods for sampling thermal fluctuations of a system's size and shape proceed through a series of…

材料科学 · 物理学 2015-05-13 Sander Pronk , Phillip L. Geissler

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

We report the results of Monte Carlo simulations on several spin glass models at low temperatures. By using the parallel tempering (Exchange Monte Carlo) technique we are able to equilibrate down to low temperatures, for moderate sizes, and…

无序系统与神经网络 · 物理学 2007-05-23 Helmut G. Katzgraber , Matteo Palassini , A. P. Young

We report a Monte Carlo simulation of the $2D$ Edwards-Anderson spin glass model within the recently introduced multicanonical ensemble. Replica on lattices of size $L^2$ up to $L=48$ are investigated. Once a true groundstate is found, we…

高能物理 - 格点 · 物理学 2015-06-25 B. A. Berg , T. Celik

A new Monte Carlo algorithm for 2-dimensional spin glasses is presented. The use of clusters makes possible global updates and leads to a gain in speed of several orders of magnitude. As an example, we study the 2-dimensional +/-J…

无序系统与神经网络 · 物理学 2009-11-07 J. Houdayer

The aim of this work is to prove that it is possible to realise an optical system which produces as output a light intensity that can be expressed in the same mathematical form of the spin glass Hamiltonian. The optical system under study…

无序系统与神经网络 · 物理学 2020-10-27 Erik Hörmann

Numerical simulations of models and theories that describe complex systems such as spin glasses are becoming increasingly important. Beyond fundamental research, these computational methods also find practical applications in fields like…

We present a Monte Carlo method that efficiently computes the density of states for spin models having any number of interaction per spin. By combining a random-walk in the energy space with collective updates controlled by the…

统计力学 · 物理学 2009-11-11 Sylvain Reynal , Hung-The Diep

An efficient Quantum Monte Carlo algorithm for the simulation of bosonic systems on a lattice in a grand canonical ensemble is proposed. It is based on the mapping of bosonic models to the spin models in the limit of the infinite total spin…

统计力学 · 物理学 2007-05-23 Jurij Smakov , Kenji Harada , Naoki Kawashima

We propose a new ensemble for Monte Carlo simulations, in which each state is assigned a statistical weight $1/k$, where $k$ is the number of states with smaller or equal energy. This ensemble has robust ergodicity properties and gives…

凝聚态物理 · 物理学 2016-08-31 Bobby Hesselbo , R. B. Stinchcombe

We propose a Monte Carlo method which performs a random walk in energy space using cluster-like collective updates. By imposing that bond probabilities depend continuously on the microcanonical temperature, we obtain dynamic exponents close…

统计力学 · 物理学 2007-05-23 Sylvain Reynal , Hung-The Diep

In this paper we present a dynamical Monte Carlo algorithm which is applicable to systems satisfying a clustering condition: during the dynamical evolution the system is mostly trapped in deep local minima (as happens in glasses, pinning…

凝聚态物理 · 物理学 2009-10-22 Werner Krauth , Olivier Pluchery

The most efficient MC weights for the calculation of physical, canonical expectation values are not necessarily those of the canonical ensemble. The use of suitably generalized ensembles can lead to a much faster convergence of the…

统计力学 · 物理学 2011-01-24 Bernd A. Berg

Monte Carlo simulations are widely employed to measure the physical properties of glass-forming liquids in thermal equilibrium. Combined with local Monte Carlo moves, the Metropolis algorithm can also be used to simulate the relaxation…

统计力学 · 物理学 2024-09-23 Ludovic Berthier , Federico Ghimenti Frédéric van Wijland

It is shown, by means of Monte Carlo simulation and Finite Size Scaling analysis, that the Heisenberg spin glass undergoes a finite-temperature phase transition in three dimensions. There is a single critical temperature, at which both a…

无序系统与神经网络 · 物理学 2009-11-11 I. Campos , M. Cotallo-Aban , V. Martin-Mayor , S. Perez-Gaviro , A. Tarancon
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