Generalized Geometric Cluster Algorithm for Fluid Simulation

TL;DR

This paper introduces a generalized geometric cluster algorithm that enhances the efficiency of simulating continuum fluids, connecting it with lattice spin model algorithms and exploring its properties and practical applications.

Contribution

It presents a novel generalized geometric cluster algorithm for fluid simulation, including detailed derivation, analysis, and implementation insights, extending cluster algorithms to continuum fluids.

Findings

Cluster-size distribution depends on density and temperature

Algorithm demonstrates improved efficiency in fluid simulations

Practical implementation strategies are discussed

Abstract

We present a detailed description of the generalized geometric cluster algorithm for the efficient simulation of continuum fluids. The connection with well-known cluster algorithms for lattice spin models is discussed, and an explicit full cluster decomposition is derived for a particle configuration in a fluid. We investigate a number of basic properties of the geometric cluster algorithm, including the dependence of the cluster-size distribution on density and temperature. Practical aspects of its implementation and possible extensions are discussed. The capabilities and efficiency of our approach are illustrated by means of two example studies.