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

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

2003-01-27

arxiv.org/abs/cond-mat/0301510v1

Phys. Rev. E 67, p.p. 036118(1)-036118(4) (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.67.036118

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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