1. Bond percolation in a square lattice in presence of a 'magnetic field'
- Author
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P. Murilo Oliveira, Rosane Riera, C. M. Chaves, and S. L. A. de Queiroz
- Subjects
Condensed matter physics ,Series (mathematics) ,Extrapolation ,General Physics and Astronomy ,Statistical and Nonlinear Physics ,Position and momentum space ,Square lattice ,Symmetry (physics) ,Magnetic field ,Quantum mechanics ,Percolation ,Exponent ,Mathematical Physics ,Mathematics - Abstract
The authors present a calculation of the bond percolation problem in a square lattice in presence of a 'magnetic field', using the position space renormalisation group and cells of dimension b*b, where b runs from 2 up to 5. Due to symmetry, the calculation splits into two parts, one determining the 'thermal' exponent nu and the other, the 'magnetic' exponent eta . For the largest cell in each case, one gets nu =1.355 (b=5) and eta =0.244 (b=4), in good agreement with series results of Dunn et al. (1975). Comments are made on the extrapolation of the results to b= infinity .
- Published
- 1980
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