Continuous Universality in non-equilibrium relaxational dynamics of O(2) symmetric systems

Abstract

We elucidate a non-conserved relaxational nonequilibrium dynamics of a O(2) symmetric model. We drive the system out of equilibrium by introducing a non-zero noise cross-correlation of amplitude $D_{\times }$ in a stochastic Langevin description of the system, while maintaining the O(2) symmetry of the order parameter space. By performing dynamic renormalization group calculations in a field-theoretic set up, we analyze the ensuing nonequilibrium steady states and evaluate the scaling exponents near the critical point, which now depend explicitly on $D_{\times }$. Since the latter remains unrenormalized, we obtain universality classes varying continuously with $D_{\times }$. More interestingly, by changing $D_{\times }$ continuously from zero, we can make our system move away from its equilibrium behavior (i.e., when $D_{\times }=0$) continuously and incrementally.

26 pages in preprint format, 3 eps figures, textual modification has been done, this version has appeared in PRE. arXiv admin note: text overlap with arXiv:cond-mat/9807207 by other authors

References in corpus (2)

• Novel universality classes of coupled driven diffusive systems
• Scaling and universality in coupled driven diffusive models

Cited by in corpus (3)

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• Phase transitions and continuously variable scaling in a chiral quenched disordered model
• Noise crosscorrelations can induce instabilities in coupled driven models