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Renormalization-group for Diffusion in a Random Medium

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Bricmont, Jean [UCL] Kupiainen, Antti [UCL]

We develop a space-time renormalization-group method to study diffusion in a disordered medium. We prove rigorously that a random walk with transition probabilities given by a random matrix diffuses in a Brownian way for weak disorder if d > 2. We also show that the disorder induces polynomial decay of velocity-velocity correlations.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 1991
Language Anglais
Journal information "Physical Review Letters" - Vol. 66, no. 13, p. 1689-1692 (1991)
Peer reviewed yes
Publisher American Physical Soc (College Pk)
issn 0031-9007
e-issn 1079-7114
Publication status Publié
Affiliation UCL - SC/PHYS - Département de physique
Links
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  12. J. P. Bouchaud, J. Phys. (Paris), 48, 1445 (1987)
  13. J. P. Bouchaud, J. Phys. (Paris), 49, 369 (1988)
  14. Machta J, Random walks on site disordered lattices, 10.1088/0305-4470/18/9/008
Bibliographic reference Bricmont, Jean ; Kupiainen, Antti. Renormalization-group for Diffusion in a Random Medium. In: Physical Review Letters, Vol. 66, no. 13, p. 1689-1692 (1991)
Permanent URL http://hdl.handle.net/2078.1/51187