Effect of Coordination Number on Nonequilibrium Critical Point

TL;DR

This paper investigates how the coordination number of a lattice influences the nonequilibrium critical point in the zero-temperature random field Ising model, highlighting its role over lattice dimension in universality class determination.

Contribution

It provides numerical evidence that the coordination number, not the dimension, governs the universality class of the nonequilibrium critical behavior.

Findings

Coordination number influences the critical point behavior.

Universality class depends more on coordination than dimension.

Equilibrium and nonequilibrium critical points share the same universality class.

Abstract

We study the nonequilibrium critical point of the zero temperature random field Ising model on a triangular lattice and compare it with known results on honeycomb, square, and simple cubic lattices. We suggest that the coordination number of the lattice rather than its dimension plays the key role in determining the universality class of the nonequilibrium critical behavior. This is discussed in the context of numerical evidence that equilibrium and nonequilibrium critical points of the zero-temperature random field Ising model belong to the same universality class. The physics of this curious result is not fully understood.