Dimensional reduction in a model with infinitely many absorbing states

TL;DR

This paper investigates a two-dimensional model with infinitely many absorbing states, using Monte Carlo simulations to analyze its critical behavior and universality class, revealing potential issues with dynamic Monte Carlo methods.

Contribution

The study identifies the universality class of the model and highlights limitations of dynamic Monte Carlo methods in certain absorbing state systems.

Findings

Critical exponent beta estimated as 0.273(5)

Model belongs to (1+1) directed-percolation universality class

Dynamic Monte Carlo method can produce spurious transitions

Abstract

Using Monte Carlo method we study a two-dimensional model with infinitely many absorbing states. Our estimation of the critical exponent beta=0.273(5) suggests that the model belongs to the (1+1) rather than (2+1) directed-percolation universality class. We also show that for a large class of absorbing states the dynamic Monte Carlo method leads to spurious dynamical transitions.