Surface and finite size effects in critical phenomena

Jia Liang Han

J.G. Brankov, Daniel M. Danchev, N. S. Tonchev

N. S. Tonchev, Angelos Angelopoulos, Takis Fildisis

Kaoru Ohno, Yutaka Okabe

N. S. Tonchev

Michel Droz, Anna‐Sapfo Malaspinas, Attilio L. Stella

An extended finite-size scaling approach which allows the authors to treat simultaneously both bulk and surface properties is presented. The method is tested on the two-dimensional Ising model. The bulk and surface magnetic exponents, are also estimated for the two-dimensional q-states Potts model, with q=3 and 4. For q=3, the value obtained for the surface magnetic exponent supports a recent prediction based on conformal covariance, while for q=4 the situation is less conclusive.