A direct renormalization group approach for the excluded volume problem |
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Authors: | S. L. A. de Queiroz C. M. Chaves |
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Affiliation: | 1. Departamento de Física, Pontifícia Universidade Católica, Cx. P. 38071, Rio de Janeiro, RJ, Brasil 2. Laboratoire de Physique des Solides, Université de Paris-Sud, F-91405, Orsay Cedex, France
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Abstract: | We propose a position-space renormalization group approach for the excluded volume problem in a square lattice by considering “percolating” self-avoiding paths in ab×b cell, whereb=2,3,4: Two ways of counting the paths are presented. The values obtained for the exponentv converge respectively to 0.731 and 0.720, close to the usually accepted valuev=0.75. Comments on the relation between percolation and self-avoiding walks are made. |
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