1992•Physica ScriptaRequires access

Some remarks on percolation

Alex Hansen, Einar L. Hinrichsen

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Abstract

Percolation theory is a powerful framework for studying strongly disordered systems. However, almost all the interesting physics of percolation happens in a very small range in parameter space, and often it may seem difficult to justify why a physical system should happen to be near this special point, the percolation threshold. In this paper we review some aspects of percolation theory from a different viewpoint than the usual one. In this formulation, it becomes natural why the percolation threshold plays an important role in many physical systems.

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What this paper is about

Percolation theory is a powerful framework for studying strongly disordered systems. However, almost all the interesting physics of percolation happens in a very small range in parameter space, and often it may seem difficult to justify why a physical system should happen to be near this special point, the percolation threshold. In this paper we review some aspects of percolation theory from a different viewpoint than the usual one. In this formulation, it becomes natural why the percolation threshold plays an important role in many physical systems.

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Available abstract

Percolation theory is a powerful framework for studying strongly disordered systems. However, almost all the interesting physics of percolation happens in a very small range in parameter space, and often it may seem difficult to justify why a physical system should happen to be near this special point, the percolation threshold. In this paper we review some aspects of percolation theory from a different viewpoint than the usual one. In this formulation, it becomes natural why the percolation threshold plays an important role in many physical systems.

Key concepts: Percolation threshold, Percolation critical exponents, Percolation (cognitive psychology), Directed percolation, Statistical physics, Percolation theory, Continuum percolation theory, Physical space

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