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Growth and decay of critical Ising clusters

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  • Jan, Naeem
  • Stauffer, Dietrich

Abstract

We present a method for simulating the evolution/decay of Coniglio-Klein clusters in the Ising model. We are able to monitor the growth and eventual decay of these critical clusters for the two-dimensional model. The time, τ, taken for a cluster of size, s, to decay to 0 is found to scale as τ≈sΘ with Θ of the order of 1.12±0.07.

Suggested Citation

  • Jan, Naeem & Stauffer, Dietrich, 1993. "Growth and decay of critical Ising clusters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 199(3), pages 447-452.
    • Handle: RePEc:eee:phsmap:v:199:y:1993:i:3:p:447-452
    DOI: 10.1016/0378-4371(93)90060-H
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    Cited by:

    1. Wang, Fugao & Suzuki, Masuo, 1995. "Finite-size scaling properties of the damage distance and dynamical critical exponent for the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 534-541.

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