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## Introduction to percolation theory. Ammon Aharony, Dietrich Stauffer

**Introduction.to.percolation.theory.pdf**

ISBN: 0748402535,9780748402533 | 91 pages | 3 Mb

**Download Introduction to percolation theory**

**Introduction to percolation theory Ammon Aharony, Dietrich Stauffer**

**Publisher:** CRC Press

For example, for any lattice where ρ≥0.592, a single cluster forms that spans the whole lattice. Introduction.to.percolation.theory.pdf. Ammon Aharony, Dietrich Stauffer. A 45 (2012) 155101[IoP STACKS]. The value of 0.592 is well known from percolation theory to be a critical value for the connectivity of square cells with a four-cell neighborhood [33]. Introduction to percolation theory. In fact it appears to be the earliest reference to the rich mathematical field of percolation theory, according to Harry Keston, who told the International Congress of Mathematicians about Stanislav Smirnov's work in this area that lead to Smirnov winning the 2010 Fields Medal. The extension to non-equilibrium systems is made by Keywords » Canopus - directed percolation - nonequilibrium phase transitions - numerical simulation - phase transitions into absorbing states - phenomenological scaling theory - renormalisation-group. Aharony: Introduction to Percolation Theory (Taylor & Francis, London, 1992). The first volume begins with an introductory chapter which recalls the main concepts of phase-transitions, set for the convenience of the reader in an equilibrium context. Percolation theory is the simplest model displaying a phase transition. Białecki: arXiv:1208.5886[e-print arXiv].