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An overview is given over the recently developed and now widely used Monte Carlo algorithms with reduced or eliminated critical slowing down. The basic techniques are overrelaxation, cluster algorithms and multigrid methods. With these…

高能物理 - 格点 · 物理学 2011-04-15 Ulli Wolff

We introduce a novel multi-discontinuity algorithm for efficient global update of world-line configurations in Monte Carlo simulations of interacting quantum systems. This new algorithm is a generalization of the two-discontinuity…

统计力学 · 物理学 2013-02-01 Yasuyuki Kato

Here, a dichotomy of particles and waves is employed in a quantum Monte Carlo calculation of interacting electrons. Through the creation and propagation of concurrent stochastic ensembles of walkers in physical space and in Hilbert space…

量子物理 · 物理学 2025-10-24 Ivan P. Christov

A new Monte-Carlo method for long-range interacting systems is presented. This method consists of eliminating interactions stochastically with the detailed balance condition satisfied. When a pairwise interaction $V_{ij}$ of a $N$-particle…

无序系统与神经网络 · 物理学 2015-05-13 Munetaka Sasaki , Fumitaka Matsubara

The properties of a system of charged particles on a 2D lattice, subject to an anisotropic Jahn-Teller-type interaction and 3D Coulomb repulsion are investigated. In the mean-field approximation without Coulomb interaction, the system…

强关联电子 · 物理学 2008-11-19 T. Mertelj , V. V. Kabanov , D. Mihailovic

We study the mobility of a charged colloidal particle in a constant homogeneous electric field by means of computer simulations. The simulation method combines a lattice Boltzmann scheme for the fluid with standard Langevin dynamics for the…

软凝聚态物质 · 物理学 2007-06-20 Vladimir Lobaskin , Burkhard Duenweg , Christian Holm

The Monte Carlo program CATCH (Capture And Transport of CHarged particles in a crystal) for the simulation of planar channelling in bent crystals is presented. The program tracks a charged particle through the distorted-crystal lattice with…

高能物理 - 实验 · 物理学 2007-05-23 Valery M. Biryukov

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…

软凝聚态物质 · 物理学 2012-01-24 Qiang Wang

A diffusion Monte Carlo algorithm is introduced that can determine the correct nodal structure of the wave function of a few-fermion system and its ground-state energy without an uncontrolled bias. This is achieved by confining signed…

计算物理 · 物理学 2020-02-05 Alexander A. Kunitsa , So Hirata

Monte Carlo statistical ray-tracing methods are commonly employed to simulate carrier transport in nanostructured materials. In the case of a large degree of nanostructuring and under linear response (small driving fields), these…

介观与纳米尺度物理 · 物理学 2023-02-09 Pankaj Priyadarshi , Neophytos Neophytou

Coulomb interactions of point charges can be calculated in $\mathcal{O}$(N) computation using the fast multipole method and direct calculations between charges nearby. It reduces computational cost dramatically, however, because of its…

计算物理 · 物理学 2023-01-02 Yasuhiro Kajima

We introduce a theoretical approach to study the quantum-dissipative dynamics of electronic excitations in macromolecules, which enables to perform calculations in large systems and cover long time intervals. All the parameters of the…

介观与纳米尺度物理 · 物理学 2016-07-20 S. A Beccara , F. Mascherpa , E. Schneider , P. Faccioli

We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems. As a first application, we study magnetic order in a binary…

量子气体 · 物理学 2010-12-16 N. Blümer , E. V. Gorelik

Polymer-assisted ion transport underpins both energy storage technologies and emerging neuromorphic computing devices. Efficient modeling of ion migration is essential for understanding the performance of batteries and memristors, but it…

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

We introduce an efficient, scalable Monte Carlo algorithm to simulate cross-linked architectures of freely-jointed and discrete worm-like chains. Bond movement is based on the discrete tractrix construction, which effects conformational…

软凝聚态物质 · 物理学 2010-12-27 Henry E. Amuasi , Cornelis Storm

Many spin systems affected by critical slowing down can be efficiently simulated using cluster algorithms. Where such systems have long-range interactions, suitable formulations can additionally bring down the computational effort for each…

统计力学 · 物理学 2017-04-07 Emilio Flores-Sola , Martin Weigel , Ralph Kenna , Bertrand Berche

We formulate a path-integral Monte Carlo algorithm for simulating lattice systems consisting of fictitious particles governed by a generalized exchange statistics. This method, initially proposed for continuum systems, introduces a…

强关联电子 · 物理学 2025-08-19 Zhijie Fan , Tianning Xiao , Youjin Deng

We study the current and shot noise in a linear array of metallic nanoparticles taking explicitly into consideration their discrete electronic spectra. Phonon assisted tunneling and dissipative effects on single nanoparticles are…

介观与纳米尺度物理 · 物理学 2009-11-11 Stefan Semrau , Herbert Schoeller , Wolfgang Wenzel

We report on a lattice based algorithm, completely vectorized for molecular dynamics simulations. Its algorithmic complexity is of the order $O(N)$, where $N$ is the number of particles. The algorithm works very effectively when the…

comp-gas · 物理学 2019-06-05 V. Buchholtz , T. Pöschel