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Dynamic critical behavior of the XY model in small-world networks
2003 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 67, no 3, 036118- p.Article in journal (Refereed) Published
Abstract [en]

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 Pgreater than or similar to0.03.

Place, publisher, year, edition, pages
2003. Vol. 67, no 3, 036118- p.
Keyword [en]
Algorithms, Computer simulation, Hamiltonians, Josephson junction devices, Mathematical models, Matrix algebra, Monte Carlo methods, Probability, Superconductivity
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-24439DOI: 10.1103/PhysRevE.67.036118ISI: 000182020900025OAI: oai:DiVA.org:kth-24439DiVA: diva2:349901
Note
QC 20100909Available from: 2010-09-09 Created: 2010-09-09 Last updated: 2017-12-12Bibliographically approved

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Holme, PetterMinnhagen, PetterKim, Beom Jun
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Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
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