Restricted Exclusion Processes without Particle Conservation Flows to Directed Percolation

TL;DR

This paper demonstrates that certain restricted exclusion processes without particle conservation exhibit critical behavior that flows to the directed percolation universality class, revealing new insights into phase transitions and critical exponents.

Contribution

The study shows how breaking particle conservation in exclusion processes causes their critical behavior to align with directed percolation universality class.

Findings

Critical exponents match DP when particle conservation is broken.

Critical behavior flows to DP universality class.

Scaling relations connect non-DP exponents to DP exponents.

Abstract

Absorbing phase transition in restricted exclusion processes are characterized by simple integer exponents. We show that this critical behaviour flows to the directed percolation (DP) universality class when particle conservation is broken suitably. The same transition, when studied using the average density as the controlling parameter, yields critical exponents quite different from DP; we argue that these exponents are actually related to DP by a scaling factor $1/\beta_{DP}.$ These conclusions also apply to conserved lattice gas in one dimension.