Fick's Law in a Random Lattice Lorentz Gas
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| 024 | 7 | 0 | |a 10.1007/s00205-014-0824-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-014-0824-z | ||
| 100 | 1 | |a Lefevere |D Raphaël |u Laboratoire de Probabilités et Modèles Aléatoires (CNRS UMR 7599), Université Paris Diderot, UFR de Mathématiques, bâtiment Sophie Germain, 5 rue Thomas Mann, 75205, Paris CEDEX, 13, France |4 aut | |
| 245 | 1 | 0 | |a Fick's Law in a Random Lattice Lorentz Gas |h [Elektronische Daten] |c [Raphaël Lefevere] |
| 520 | 3 | |a We provide a proof that the stationary macroscopic current of particles in a random lattice Lorentz gas satisfies Fick's law when connected to particles reservoirs. We consider a box on a d+1-dimensional lattice and when $${d\geqq7}$$ d ≧ 7 , we show that under a diffusive rescaling of space and time, the probability of finding a current different from its stationary value is exponentially small in time. Its stationary value is given by the conductivity times the difference of chemical potentials of the reservoirs. The proof is based on the fact that in a high dimension, random walks have a small probability of making loops or intersecting each other when starting sufficiently far apart. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2014 | ||
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/3(2015-06-01), 983-1008 |x 0003-9527 |q 216:3<983 |1 2015 |2 216 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-014-0824-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-014-0824-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Lefevere |D Raphaël |u Laboratoire de Probabilités et Modèles Aléatoires (CNRS UMR 7599), Université Paris Diderot, UFR de Mathématiques, bâtiment Sophie Germain, 5 rue Thomas Mann, 75205, Paris CEDEX, 13, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 216/3(2015-06-01), 983-1008 |x 0003-9527 |q 216:3<983 |1 2015 |2 216 |o 205 | ||