Superscaling of percolation on rectangular domains.

نویسندگان

  • Hiroshi Watanabe
  • Satoshi Yukawa
  • Nobuyasu Ito
  • Chin-Kun Hu
چکیده

For percolation on (RL)xL two-dimensional rectangular domains with a width L and aspect ratio R, we propose that the existence probability of the percolating cluster E(p)(L,epsilon,R) as a function of L, R, and deviation from the critical point epsilon can be expressed as F(epsilonL(y(t))R(a)), where y(t) identical with1/nu is the thermal scaling power, a is a new exponent, and F is a scaling function. We use Monte Carlo simulation of bond percolation on square lattices to test our proposal and find that it is well satisfied with a=0.14(1) for R>2. We also propose superscaling for other critical quantities.

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عنوان ژورنال:
  • Physical review letters

دوره 93 19  شماره 

صفحات  -

تاریخ انتشار 2004