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.
- Bouchaud Jean-Philippe, Georges Antoine, Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications, 10.1016/0370-1573(90)90099-n
- Sinai Ya. G., The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium, 10.1137/1127028
- Durrett Richard, Multidimensional random walks in random environments with subclassical limiting behavior, 10.1007/bf01210794
- Bramson Maury, Durrett Richard, Random walk in random environment: A counterexample?, 10.1007/bf01217738
- Anshelevich V. V., Khanin K. M., Sinai Ya. G., Symmetric random walks in random environments, 10.1007/bf01208724
- Künnemann Rolf, The diffusion limit for reversible jump processes onZ d with ergodic random bond conductivities, 10.1007/bf01209386
- Lawler Gregory F., Weak convergence of a random walk in a random environment, 10.1007/bf01211057
- De Masi A., Ferrari P. A., Goldstein S., Wick W. D., An invariance principle for reversible Markov processes. Applications to random motions in random environments, 10.1007/bf01041608
- G. Papanicolaou, Random Fields (1981)
- Derrida B., Luck J. M., Diffusion on a random lattice: Weak-disorder expansion in arbitrary dimension, 10.1103/physrevb.28.7183
- Fisher Daniel S., Random walks in random environments, 10.1103/physreva.30.960
- J. P. Bouchaud, J. Phys. (Paris), 48, 1445 (1987)
- J. P. Bouchaud, J. Phys. (Paris), 49, 369 (1988)
- 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 |