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| Titel: |
Percolation theory and its ramifications |
| Auteur: |
Hammersley, J. M. Welsh, D. J. A. |
| Verschenen in: |
Contemporary physics |
| Paginering: | Jaargang 21 (1980) nr. 6 pagina's 593-605 |
| Jaar: |
1980-11-01 |
| Inhoud: |
Percolation theory, as its name suggests, is a mathematical model for motion through an unpredictable or random medium. Examples of its applications are, the passage of fluid through a sponge, the spread of infection through an orchard, the communication of messages in an unreliable network. In each case the randomness is in the medium and not in the fluid particles. Thus it could be regarded as the direct opposite of diffusion where the medium is purely deterministic and it is the (Brownian) particles which behave randomly. The various models of percolation theory which have been studied are particularly simple to describe mathematically—much easier than their diffusion counterparts. However, despite this simplicity the interesting problems in the subject seem to be peculiarly intractable. This article is an attempt to formulate at a very elementary mathematical level the difficulties and problems of the subject. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
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