Critical dynamics of non-conserved strongly anisotropic permutation symmetric three-vector model

TL;DR

This paper uses renormalization-group theory to analyze the critical behavior of a non-equilibrium, anisotropic three-vector model, calculating key critical exponents with two-loop corrections.

Contribution

It provides explicit calculations of critical exponents for a non-conserved, anisotropic, permutation symmetric three-vector model, including corrections up to two loops.

Findings

Explicit critical exponents including $ u$, $ ext{eta}$, $ ilde{ ext{eta}}$, $z$, and $ ext{Delta$.

Determination of how anisotropic perturbations influence non-equilibrium steady states.

Relations expressing other anisotropy exponents in terms of the calculated ones.

Abstract

We explore, employing the renormalization-group theory, the critical scaling behavior of the permutation symmetric three-vector model that obeys non-conserving dynamics and has a relevant anisotropic perturbation which drives the system into a non-equilibrium steady state. We explicitly find the independent critical exponents with corrections up to two loops. They include the static exponents $\nu$ and $\eta$, the off equilibrium exponent $\widetilde{\eta}$, the dynamic exponent $z$ and the strong anisotropy exponent $\Delta$. We also express the other anisotropy exponents in terms of these.