Some remarks on percolation
Alex Hansen, Einar L. Hinrichsen
Abstract
Alex Hansen, Einar L. Hinrichsen
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.
OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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