Local Simulation Algorithms for Coulomb Gases with Dynamical Dielectric Effects

TL;DR

This paper improves local lattice simulation algorithms for Coulomb gases with dynamical dielectric effects by removing unphysical forces using a multiboson correction, enhancing simulation accuracy for charged and neutral particles.

Contribution

It introduces a multiboson-based correction method to eliminate spurious interactions in local lattice Coulomb gas simulations with variable dielectric properties.

Findings

The correction effectively removes unphysical forces in neutral particle systems.

Application to a one-component plasma demonstrates the impact of the correction on charged systems.

The method improves the physical accuracy of local simulation algorithms.

Abstract

We discuss the application of the local lattice technique of Maggs and Rossetto to problems that involve the motion of objects with different dielectric constants than the background. In these systems the simulation method produces a spurious interaction force which causes the particles to move in an unphysical manner. We show that this term can be removed using a variant of a method known from high-energy physics simulations, the multiboson method, and demonstrate the effectiveness of this corrective method on a system of neutral particles. We then apply our method to a one-component plasma to show the effect of the spurious interaction term on a charged system.