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The class of random-cluster models is a unification of a variety of stochastic processes of significance for probability and statistical physics, including percolation, Ising, and Potts models; in addition, their study has impact on the…

Probability · Mathematics 2007-05-23 Geoffrey Grimmett

We propose a new computational framework that combines the recently developed time-parallel (TP) and the compound wavelet matrix (CWM) methods. The framework, termed tpCWM, offers significant computational acceleration by making…

Computational Physics · Physics 2009-09-29 George Frantziskonis , Krishna Muralidharan , Pierre Deymier , Srdjan Simunovic , Sreekanth Pannala

We apply the Hierarchical Autoregressive Neural (HAN) network sampling algorithm to the two-dimensional $Q$-state Potts model and perform simulations around the phase transition at $Q=12$. We quantify the performance of the approach in the…

Statistical Mechanics · Physics 2023-05-26 Piotr Białas , Paulina Czarnota , Piotr Korcyl , Tomasz Stebel

We extend the weighted ensemble (WE) path sampling method to perform rigorous statistical sampling for systems at steady state. The straightforward steady-state implementation of WE is directly practical for simple landscapes, but not when…

Biological Physics · Physics 2015-05-14 Divesh Bhatt , Bin W. Zhang , Daniel M. Zuckerman

In a seminal paper, Weitz showed that for two-state spin systems, such as the Ising and hardcore models from statistical physics, correlation decay on trees implies correlation decay on arbitrary graphs. The key gadget in Weitz's reduction…

Data Structures and Algorithms · Computer Science 2025-02-11 Kuikui Liu , Nitya Mani , Francisco Pernice

We propose a novel simulation strategy for Yang-Mills theories with a complex coupling, based on the Lefschetz thimble decomposition. We envisage, that the approach developed in the present work, can also be adapted to QCD at finite…

High Energy Physics - Lattice · Physics 2021-05-19 Jan M. Pawlowski , Manuel Scherzer , Christian Schmidt , Felix P. G. Ziegler , Felix Ziesché

In this work we propose a criterion to finish the simulations of the Wang-Landau sampling. Instead of determining a final modification factor for all simulations and every sample sizes, we investigate the behavior of the temperature of the…

Statistical Mechanics · Physics 2015-11-09 Álvaro de Almeida Caparica

We consider a composite medium, which consists of a homogeneous matrix containing a statistically homogeneous set of multimodal spherical inclusions. This model is used to represent the morphology of heterogeneous solid propellants (HSP)…

Materials Science · Physics 2015-03-20 V. A. Buryachenko , T. L. Jackson , G. Amadio

We study lipid translocation ("flip-flop") between the leaflets of a planar lipid bilayer with transition path sampling (TPS). Rare flip-flops compete with biological machineries that actively establish asymmetric lipid compositions.…

Soft Condensed Matter · Physics 2025-02-18 Matthias Post , Gerhard Hummer

We present a history-dependent Monte Carlo scheme for the efficient calculation of the free-energy of quantum systems, inspired by the Wang-Landau sampling and metadynamics method. When embedded in a path integral formulation, it is of…

Statistical Mechanics · Physics 2009-04-08 Yanier Crespo , Alessandro Laio , Giuseppe E. Santoro , Erio Tosatti

Inverse Distance Weighted models (IDW) have been widely used for predicting and modeling multidimensional space in multimodal industrial processes. However, the more complex the structure of multidimensional space, the lower the performance…

Machine Learning · Computer Science 2020-08-25 Junjie Zhang , Cong Zhang , Neal N. Xiong

This paper treats the dynamics and scattering of a model of coupled oscillating systems, a finite dimensional one and a wave field on the half line. The coupling is realized producing the family of selfadjoint extensions of the suitably…

Mathematical Physics · Physics 2009-11-11 M. Bertini , D. Noja , A. Posilicano

A semiclassical method is used to study Landau damping of transverse pseudo-spin waves in harmonically trapped ultracold gases in the collisionless Boltzmann limit. In this approach, the time evolution of a spin is calculated numerically as…

Statistical Mechanics · Physics 2009-11-11 R. J. Ragan , W. J. Mullin , E. B. Wiita

We introduce a Monte Carlo method, as a modification of existing cluster algorithms, which allows simulations directly on systems of infinite size, and for quantum models also at beta=infinity. All two-point functions can be obtained,…

Statistical Mechanics · Physics 2007-05-23 H. G. Evertz , W. von der Linden

Our ability to numerically model and understand the complex flow behavior of solid-bearing suspensions has increased significantly over the last couple of years, partly due to direct numerical simulations that compute flow around individual…

Computational Physics · Physics 2019-03-21 Zhipeng Qin , Kali Alison , Jenny Suckale

We simulate the collective dynamics in spin lattices with long range interactions and collective decay in one, two and three dimensions. Starting from a dynamical mean-field approach derived by local factorization of the density operator we…

Quantum Physics · Physics 2016-01-20 S. Krämer , H. Ritsch

A brief introduction to the technique of Monte Carlo simulations in statistical physics is presented. The topics covered include statistical ensembles random and pseudo random numbers, random sampling techniques, importance sampling, Markov…

Statistical Mechanics · Physics 2016-08-31 K. P. N. Murthy

Potts models, which can be used to analyze dependent observations on a lattice, have seen widespread application in a variety of areas, including statistical mechanics, neuroscience, and quantum computing. To address the intractability of…

Computation · Statistics 2021-10-15 Anirban Chakraborty , Matthias Katzfuss , Joseph Guinness

We develop a machine learning method for mapping data originating from both Standard Model processes and various theories beyond the Standard Model into a unified representation (latent) space while conserving information about the…

High Energy Physics - Phenomenology · Physics 2025-01-23 Anna Hallin , Gregor Kasieczka , Sabine Kraml , André Lessa , Louis Moureaux , Tore von Schwartz , David Shih

Predictive simulations of complex systems are essential for applications ranging from weather forecasting to drug design. The veracity of these predictions hinges on their capacity to capture the effective system dynamics. Massively…

Computational Physics · Physics 2021-10-20 Pantelis R. Vlachas , Georgios Arampatzis , Caroline Uhler , Petros Koumoutsakos