Pure Mathematics
The velocity and the diffusion constant are obtained for a periodic onedimensional hopping model of arbitrary periodN. These two quantities are expressed as explicit functions of all the hopping rates. The velocity and the diffusion constant of random systems are calculated by taking the limit N→Β. One finds by varying the distribution of hopping rates that the diffusion constant and the velocity are singular at different points. Lastly, several possible applications are proposed.
433-450
research_article
false
1983-06
https://scigraph.springernature.com/explorer/license/
articles
1983-06-01
en
2019-04-10T15:47
http://link.springer.com/10.1007/BF01019492
Velocity and diffusion constant of a periodic one-dimensional hopping model
0022-4715
1572-9613
Journal of Statistical Physics
Springer Nature - SN SciGraph project
44aa87022b8890e5b6f4bfacfd470d0e2eca36fa5d68cb262c88a0680362120d
readcube_id
Derrida
Bernard
doi
10.1007/bf01019492
Mathematical Sciences
31
3
Commissariat a l'Energie Atomique, Division de la Physique, Service de Physique Theorique Cen-Saclay, 91191, Gif-sur-Yvette Cedex, France
dimensions_id
pub.1014413612