Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-12-23
Phys. Rev. E. 85, 021113 (2012)
Physics
Condensed Matter
Statistical Mechanics
26 pages in preprint format, 3 eps figures, textual modification has been done, this version has appeared in PRE. arXiv admin
Scientific paper
10.1103/PhysRevE.85.021113
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.
Basu Abhik
Sarkar Niladri
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