Position-space renormalization of the percolation conduction problem
- 14 June 1977
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 10 (11) , 1903-1909
- https://doi.org/10.1088/0022-3719/10/11/025
Abstract
A renormalization method recently proposed by Stinchcombe and Watson (ibid., vol.9, p.3221 (1976)) for the percolation conduction problem is modified by the introduction of a scheme for construction of the renormalization transformation based on a periodization of the lattice. There results a family of transformations, in which the larger domains give rise to the transformations which are increasingly more accurate (but more difficult to implement). The three exponents s, t and v are estimated for several two-dimensional cases and one three-dimensional case.Keywords
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