Phases fluctuations, self-similarity breaking and anomalous scalings in driven nonequilibrium critical phenomena

TL;DR

This paper investigates the dynamic scaling behavior of the 3D Ising model driven through its critical point, revealing the necessity of new critical exponents due to self-similarity breaking and anomalous scaling.

Contribution

It introduces new critical exponents to describe anomalous scalings in driven nonequilibrium critical phenomena, expanding understanding of phase fluctuations.

Findings

New critical exponents are needed for scaling in driven processes.

Self-similarity of phase fluctuations is broken, leading to anomalous scalings.

Scaling behavior depends on lattice size and external fields.

Abstract

We study in detail the dynamic scaling of the three-dimensional (3D) Ising model driven through its critical point on finite-size lattices and show that a series of new critical exponents are needed to account for the anomalous scalings originating from breaking of self-similarity of the so-called phases fluctuations. Our results demonstrate that new exponents are generally required for scaling in the whole driven process once the lattice size or an externally applied field are taken into account. These open a new door in critical phenomena and suggest that much is yet to be explored in driven nonequilibrium critical phenomena.