Critical dynamics in trapped particle systems

TL;DR

This paper investigates how a space-dependent trapping potential influences the critical dynamics of lattice gas models, introducing a dynamic trap-size scaling framework and supporting it with numerical simulations of a 2D Ising model.

Contribution

It introduces a dynamic trap-size scaling framework for critical dynamics in trapped systems and validates it through numerical simulations.

Findings

Numerical results support the dynamic trap-size scaling scenario.

The framework describes the development of critical dynamics in large traps.

The study extends understanding of critical phenomena in inhomogeneous systems.

Abstract

We discuss the effects of a trapping space-dependent potential on the critical dynamics of lattice gas models. Scaling arguments provide a dynamic trap-size scaling framework to describe how critical dynamics develops in the large trap-size limit. We present numerical results for the relaxational dynamics of a two-dimensional lattice gas (Ising) model in the presence of a harmonic trap, which support the dynamic trap-size scaling scenario.