Finite - size scaling study of the equilibrium cluster distribution of the two - dimensional Ising model

نویسندگان

  • R Toral
  • C Wall
چکیده

We use a very fast and efficient algorithm to study by Monte Carlo methods the equilibrium cluster distribution C,(L) , the mean number of clusters per lattice site containing I particles in a square lattice of L2 sites, of the two-dimensional fsing model at the critical point. Finite-size scaling theory is then used to analyse the scalingansatz C,(L) = [-If(2'/L), T and s being critical exponents. The second moment of the cluster distribution pz(L) = I I'C, is shown to behave as p 2 (L)-Lo with fJ = 1.89510.010, The effect of corrections to scaling is also discussed.

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تاریخ انتشار 1987