2003/01/27 by Kateryna Medvedyeva, Petter Holme, Petter Minnhagen +1 · 58 citations
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Critical exponent #Critical phenomena #Discrete mathematics #Exponent #Geometry #Mathematical physics #Mathematics #Monte Carlo method #Opinion Dynamics and Social Influence #Phase transition #Physics #Quantum mechanics #Renormalization group #Scaling #Statistical physics #Statistics #Theoretical and Computational Physics #Thermodynamics #Universality (dynamical systems) #cond-mat.dis-nn
paper · pdf · doi:10.1103/physreve.67.036118
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 67(3), 036118 (American Physical Society) · To appear in Phys. Rev. E
arxiv created 2003/01/27 · openalex publication_date 2003/03/24 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 greater, similar 0.03.