Percolation systems away from the critical point

Dhar, Deepak (2002) Percolation systems away from the critical point Pramana - Journal of Physics, 58 (2). pp. 419-426. ISSN 0304-4289

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This article reviews some effects of disorder in percolation systems away from the critical density p c. For densities below p c, the statistics of large clusters defines the animals problem. Its relation to the directed animals problem and the Lee-Yang edge singularity problem is described. Rare compact clusters give rise to Griffiths singularities in the free energy of diluted ferromagnets, and lead to a very slow relaxation of magnetization. In biased diffusion on percolation clusters, trapping in dead-end branches leads to asymptotic drift velocity becoming zero for strong bias, and very slow relaxation of velocity near the critical bias field.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Percolation; Lattice Animals; Biased Diffusion; Griffiths Singularity
ID Code:9371
Deposited On:02 Nov 2010 12:20
Last Modified:16 May 2016 19:11

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