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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 propose a new Monte Carlo algorithm for the free energy calculation based on configuration space sampling. We implement this algorithm for Ising model. Comparison with the exact free energy shows an excellent agreement. We analyse the…

强关联电子 · 物理学 2015-08-05 Sheng Bi , Ning-Hua Tong

In order to find the equilibrium geometries of molecules and solids and to perform ab initio molecular dynamics, it is necessary to calculate the forces on the nuclei. We present a correlated sampling method to efficiently calculate…

凝聚态物理 · 物理学 2009-10-31 Claudia Filippi , C. J. Umrigar

This paper describes a new Monte Carlo method based on a novel stochastic potential switching algorithm. This algorithm enables the equilibrium properties of a system with potential $V$ to be computed using a Monte Carlo simulation for a…

统计力学 · 物理学 2007-05-23 C. H. Mak

An improved real-time quantum Monte Carlo procedure is presented and applied to describe the electronic transfer dynamics along molecular chains. The model consists of discrete electronic sites coupled to a thermal environment which is…

化学物理 · 物理学 2009-11-10 L. Muehlbacher , J. Ankerhold , C. Escher

In this work we propose a new approach for the numerical simulation of kinetic equations through Monte Carlo schemes. We introduce a new technique which permits to reduce the variance of particle methods through a matching with a set of…

数学物理 · 物理学 2014-04-08 Pierre Degond , Giacomo Dimarco , Lorenzo Pareschi

We present results for a variety of Monte Carlo annealing approaches, both classical and quantum, benchmarked against one another for the textbook optimization exercise of a simple one-dimensional double-well. In classical (thermal)…

无序系统与神经网络 · 物理学 2009-11-11 Lorenzo Stella , Giuseppe E. Santoro , Erio Tosatti

We modify the reweighting factor of the projector used in diffusion Monte Carlo to reduce the time-step error of the total energy. Further, we present a reweighting scheme that has the desirable feature that it is exactly size-consistent,…

化学物理 · 物理学 2024-03-18 Tyler A. Anderson , Manolo C. Per , C. J. Umrigar

We introduce a quantum Monte Carlo method to simulate the reversible dynamics of correlated many-body systems. Our method is based on the Laplace transform of the time-evolution operator which, as opposed to most quantum Monte Carlo…

量子物理 · 物理学 2022-09-14 Romain Chessex , Massimo Borrelli , Hans Christian Öttinger

On the base of a Feynman-Kac--type formula involving Poisson stochastic processes, recently a Monte Carlo algorithm has been introduced, which describes exactly the real- or imaginary-time evolution of many-body lattice quantum systems. We…

其他凝聚态物理 · 物理学 2011-07-19 Massimo Ostilli , Carlo Presilla

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

Continuous-time quantum Monte Carlo refers to a class of algorithms designed to sample the thermal distribution of a quantum Hamiltonian through exact expansions of the Boltzmann exponential in terms of stochastic trajectories which are…

统计力学 · 物理学 2024-07-17 Luke Causer , Konstantinos Sfairopoulos , Jamie F. Mair , Juan P. Garrahan

The Markov chain Monte Carlo method is a versatile tool in statistical physics to evaluate multi-dimensional integrals numerically. For the method to work effectively, we must consider the following key issues: the choice of ensemble, the…

统计力学 · 物理学 2014-01-07 Synge Todo , Hidemaro Suwa

In this work, we introduce a simple modification of the Monte Carlo algorithm, which we call step Monte Carlo (sMC). The sMC approach allows to simulate processes far from equilibrium and obtain information about the dynamic properties of…

其他凝聚态物理 · 物理学 2023-12-15 Dariusz Sztenkiel

A statistical method is derived for the calculation of thermodynamic properties of many-body systems at low temperatures. This method is based on the self-healing diffusion Monte Carlo method for complex functions [F. A. Reboredo J. Chem.…

其他凝聚态物理 · 物理学 2014-03-05 Fernando A. Reboredo , Jeongnim Kim

We present, theoretical predictions and Monte Carlo simulations, for a simple three matrix model that exhibits an exotic phase transition. The nature of the transition is very different if approached from the high or low temperature side.…

高能物理 - 理论 · 物理学 2010-01-15 Rodrigo Delgadillo-Blando , Denjoe O'Connor , Badis Ydri

In most sampling algorithms, including Hamiltonian Monte Carlo, transition rates between states correspond to the probability of making a transition in a single time step, and are constrained to be less than or equal to 1. We derive a…

机器学习 · 统计学 2015-10-13 Andrew B. Berger , Mayur Mudigonda , Michael R. DeWeese , Jascha Sohl-Dickstein

We present iterative Monte Carlo algorithm for which the temperature variable is attracted by a critical point. The algorithm combines techniques of single histogram reweighting and linear filtering. The 2d Ising model of ferromagnet is…

统计力学 · 物理学 2015-06-24 M. Gmitra , D. Horvath

Describing correlated electron systems near phase transitions has been a major challenge in computational condensed-matter physics. In this paper, we apply highly accurate fixed node quantum Monte Carlo techniques, which directly work with…

强关联电子 · 物理学 2018-01-10 Li Chen , Lucas K. Wagner

Theories of new physics often involve a large number of unknown parameters which need to be scanned. Additionally, a putative signal in a particular channel may be due to a variety of distinct models of new physics. This makes experimental…

高能物理 - 唯象学 · 物理学 2015-06-19 James S. Gainer , Joseph Lykken , Konstantin T. Matchev , Stephen Mrenna , Myeonghun Park