Logarithmic Corrections in Dynamic Isotropic Percolation

Details Logarithmic Corrections in Dynamic Isotropic Percolation Logarithmic Corrections in Dynamic Isotropic Percolation

2003-04-16

arxiv.org/abs/cond-mat/0304366v2

Phys. Rev. E 68, 036131 (2003)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 3 figures, version to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.68.036131

Based on the field theoretic formulation of the general epidemic process we study logarithmic corrections to scaling in dynamic isotropic percolation at the upper critical dimension d=6. Employing renormalization group methods we determine these corrections for some of the most interesting time dependent observables in dynamic percolation at the critical point up to and including the next to leading correction. For clusters emanating from a local seed at the origin we calculate the number of active sites, the survival probability as well as the radius of gyration.

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