Ageing without detailed balance: local scale invariance applied to two exactly solvable models

TL;DR

This paper investigates ageing phenomena in two exactly solvable reaction-diffusion models, revealing how local scale invariance explains their scaling functions and highlighting differences from systems with detailed balance.

Contribution

It applies local scale invariance to non-equilibrium ageing in reaction-diffusion models, showing how symmetry considerations determine scaling functions without detailed balance.

Findings

Ageing exponents are determined for both models.

The equality of critical exponents can break down without detailed balance.

Scaling functions can be derived from symmetry principles.

Abstract

I consider ageing behaviour in two exactly solvable reaction-diffusion systems. Ageing exponents and scaling functions are determined. I discuss in particular a case in which the equality of two critical exponents, known from systems with detailed balance, does not hold any more. Secondly it is shown that the form of the scaling functions can be understood by symmetry considerations.