Violation of the Widom scaling law for effective crossover exponents

TL;DR

This paper investigates the universal crossover behavior in non-equilibrium systems undergoing phase transitions, revealing that Widom's scaling law does not hold for effective exponents during the crossover from mean-field to non-mean-field regimes.

Contribution

It demonstrates the violation of Widom's scaling law for effective exponents in the crossover regime of non-equilibrium phase transitions.

Findings

Widom scaling law is violated in the crossover regime.

Universal crossover behavior is characterized in non-equilibrium systems.

Effective exponents do not follow traditional scaling laws during crossover.

Abstract

In this work we consider the universal crossover behavior of two non-equilibrium systems exhibiting a continuous phase transition. Focusing on the field driven crossover from mean-field to non-mean-field scaling behavior we show that the well-known Widom scaling law is violated for the effective exponents in the so-called crossover regime.