Critical Behavior of O(n)-symmetric Systems With Reversible Mode-coupling Terms: Stability Against Detailed-balance Violation

Abstract

We investigate nonequilibrium critical properties of $O(n)$-symmetric models with reversible mode-coupling terms. Specifically, a variant of the model of Sasvári, Schwabl, and Szépfalusy is studied, where violation of detailed balance is incorporated by allowing the order parameter and the dynamically coupled conserved quantities to be governed by heat baths of different temperatures $T_S$ and $T_M$, respectively. Dynamic perturbation theory and the field-theoretic renormalization group are applied to one-loop order, and yield two new fixed points in addition to the equilibrium ones. The first one corresponds to $\Theta =T_S/T_M=\infty$ and leads to model A critical behavior for the order parameter and to anomalous noise correlations for the generalized angular momenta; the second one is at $\Theta =0$ and is characterized by mean-field behavior of the conserved quantities, by a dynamic exponent $z=d/2$ equal to that of the equilibrium SSS model, and by modified static critical exponents. However, both these new fixed points are unstable, and upon approaching the critical point detailed balance is restored, and the equilibrium static and dynamic critical properties are recovered.

18 pages, RevTeX, 1 figure included as eps-file; submitted to Phys. Rev. E

References in corpus (3)

• Two-Loop Renormalization Group Analysis of the Burgers-Kardar-Parisi-Zhang Equation
• Critical Dynamics of Magnets
• Existence of long-range order in the steady state of a two dimensional, two-temperature XY model

Cited by in corpus (10)

• Universality classes in nonequilibrium lattice systems
• Universal Critical Behavior of Noisy Coupled Oscillators
• Non-equilibrium fixed points of coupled Ising models
• Phase Transitions and Scaling in Systems Far From Equilibrium
• The effects of violating detailed balance on critical dynamics
• Universal critical behavior of noisy coupled oscillators: A renormalization group study
• Nonequilibrium critical dynamics of the relaxational models C and D
• Phase Diagram for a 2-D Two-Temperature Diffusive XY Model
• Continuous Universality in non-equilibrium relaxational dynamics of O(2) symmetric systems
• Novel dynamic critical phenomena induced by superfluidity and the chiral magnetic effect in Quantum Chromodynamics