Fast Fourier Transform Simulation Techniques for Coulomb Gases
A. Duncan, R.D. Sedgewick, and R.D. Coalson
TL;DR
This paper introduces an FFT-based method for efficiently updating electric fields in Coulomb gas simulations, significantly improving performance over previous techniques in strongly correlated electrostatic systems.
Contribution
It presents a novel FFT-based approach for electric field updates that simplifies and accelerates Coulomb gas simulations compared to existing methods.
Findings
FFT method outperforms previous approaches in test problems
Single-step generation of electric field configurations
Enhanced efficiency in simulating strongly correlated systems
Abstract
An improved approach to updating the electric field in simulations of Coulomb gases using the local lattice technique introduced by Maggs and Rossetto, is described and tested. Using the Fast Fourier Transform (FFT) an independent configuration of electric fields subject to Gauss' law constraint can be generated in a single update step. This FFT based method is shown to outperform previous approaches to updating the electric field in the simulation of a basic test problem in electrostatics of strongly correlated systems.
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