Fractal structure of spin clusters and domain walls in the two-dimensional Ising model.

نویسندگان

  • Wolfhard Janke
  • Adriaan M J Schakel
چکیده

The fractal structure of spin clusters and their boundaries in the critical two-dimensional Ising model is investigated numerically. The fractal dimensions of these geometrical objects are estimated by means of Monte Carlo simulations on relatively small lattices through standard finite-size scaling. The obtained results are in excellent agreement with theoretical predictions and partly provide significant improvements in precision over existing numerical estimates.

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عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 71 3 Pt 2B  شماره 

صفحات  -

تاریخ انتشار 2005