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Dynamic critical behavior of the XY model in small-world networks

Kateryna Medvedyeva·Petter Holme·Petter Minnhagen·Beom Jun Kim
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Abstract

The critical behavior of the XY model on small-world network is investigated by means of dynamic Monte Carlo simulations. We use the short-time relaxation scheme, i.e., the critical behavior is studied from the nonequilibrium relaxation to equilibrium. Static and dynamic critical exponents are extracted through the use of the dynamic finite-size scaling analysis. It is concluded that the dynamic universality class at the transition is of the mean-field nature. We also confirm numerically that the value of dynamic critical exponent is independent of the rewiring probability P for P > 0.03.

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Kateryna Medvedyeva, Petter Holme, Petter Minnhagen, Beom Jun Kim. 2003-01-27. Dynamic critical behavior of the XY model in small-world networks. https://doi.org/10.1103/physreve.67.036118

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