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Dynamics in a long-range exchange model

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  • Hayakawa, Hisao
  • Family, Fereydoon

Abstract

A new Ising dynamics with long-range exchange is proposed in which the exchange probability is a power law function of the distance between exchanged spins. Using a coarse-grained picture, a generalized time-dependent Ginzburg-Landau (TDGL) equation is derived. We analyze the dynamics of a first-order phase transition and a second-order phase transition, and we obtain the scaling function for droplet size distribution and the exponent of critical slowing down, respectively.

Suggested Citation

  • Hayakawa, Hisao & Family, Fereydoon, 1990. "Dynamics in a long-range exchange model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 166(3), pages 408-429.
    • Handle: RePEc:eee:phsmap:v:166:y:1990:i:3:p:408-429
    DOI: 10.1016/0378-4371(90)90065-Z
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