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Finite size scaling and phenomenological renormalization

1981; Springer Science+Business Media; Linguagem: Inglês

10.1007/bfb0012543

1616-6361

Bernard Derrida, L. De Sèze, J. Vannimenus,

Stochastic processes and statistical mechanics

The basic equations of the phenomenological renormalization method are recalled. A simple derivation using finite-size scaling is presented. The convergence of the method is studied analytically for the Ising model. Using this method we give predictions for the 2d bond percolation. Finally we discuss how the method can be applied to random systems.