Universality in driven Potts models
arXiv:1811.05938 · doi:10.1103/PhysRevE.99.022135
Abstract
We study the stochastic dynamics of infinitely many globally interacting -state units on a ring that is externally driven. While repulsive interactions always lead to uniform occupations, attractive interactions give rise to much richer phenomena: We analytically characterize a Hopf bifurcation which separates a high-temperature regime of uniform occupations from a low-temperature one where all units coalesce into a single state. For odd below the critical temperature starts a synchronization regime which ends via a second phase transition at lower temperatures, while for even this intermediate phase disappears. We find that interactions have no effects except below critical temperature for attractive interactions. A thermodynamic analysis reveals that the dissipated work is reduced in this regime, whose temperature range is shown to decrease as increases. The -dependence of the power-efficiency trade-off is also analyzed.
arXiv comment8 pages, 5 figures
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