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Geometry and dynamics of randomly connected fractal clusters

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  • Alexandrowicz, Z.
  • Stauffer, D.

Abstract

The dynamics of critical Ising droplets and suitable other clusters is argued to come from growth and decay in small steps, not via aggregation of large clusters. The resulting critical exponent z for Metropolis-Glauber kinetics is related to the exponent for the chain lengths of the cluster branches. Simulations of 609602 and 14093 Ising models confirm roughly the exponent z but throw doubts on the small-step approach when interpreted with the help of the Becker-Döring equation.

Suggested Citation

  • Alexandrowicz, Z. & Stauffer, D., 1992. "Geometry and dynamics of randomly connected fractal clusters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 195-202.
    • Handle: RePEc:eee:phsmap:v:191:y:1992:i:1:p:195-202
    DOI: 10.1016/0378-4371(92)90527-W
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