Revisiting Absorbing Phase Transition in Energy Exchange Models

TL;DR

This paper re-examines the critical behavior of energy exchange models with thresholds, providing evidence that both maximal and minimal versions belong to the directed percolation universality class, contrary to earlier claims.

Contribution

It clarifies the universality class of energy exchange models with thresholds, showing both variants belong to the directed percolation class, correcting previous misconceptions.

Findings

Both maximal and minimal models belong to the DP universality class

Revised understanding of critical behavior in energy exchange models

Contradicts earlier claims about the models' universality class

Abstract

A recent study of conserved Manna model, with both discrete and continuous variable, indicates that absorbing phase transitions therein belong to the directed percolation (DP) universality class. In this context we revisit critical behaviour in energy exchange models with a threshold. Contrary to the previous claims [PRE 83, 061130 (2011), arXiv:1102.1631], our results indicate that both the maximal and minimal versions of this model belong to the DP class.