Role of range of interactions in a model of diffusing charged particles

TL;DR

This study examines how the range of interactions affects the behavior of diffusing charged particles on a 2D lattice, revealing that static properties are similar across models while dynamic properties vary significantly.

Contribution

It compares three models with different interaction ranges, highlighting the impact of interaction extent on static and dynamic properties of charged particle diffusion.

Findings

Static properties are similar across models with different interaction ranges.

Dynamic properties show significant differences depending on interaction range.

Longer interaction ranges influence dynamic behaviors like cluster growth and energy evolution.

Abstract

Role of range of interactions in a model of charged particles diffusing on a two-dimensional lattice is studied. We investigate, via Monte Carlo simulations, three models. In the first one interactions are restricted to nearest neighbors, in the second one we add (weaker) interactions to second nearest neighbors. In the third model interactions are extended as far as the half the size of the system. The strength of these interactions falls off with the distance. We show that for static properties, such as asymptotic spatial patterns or the order parameter, the results of the first and third models are very close. Dynamic characteristics, like mean square displacement, average cluster size and average energy as functions of time show larger differences among the three models. Origins of these differences are pointed out and discussed.