An exact solution of a one-dimensional asymmetric exclusion model with open boundaries
A simple asymmetric exclusion model with open boundaries is solved exactly in one dimension. The exact solution is obtained by deriving a recursion relation for the steady state: if the steady state is known for all system sizes less thanN, then our equation (8) gives the steady state for sizeN. Using this recursion, we obtain closed expressions (48) for the average occupations of all sites. The results are compared to the predictions of a mean field theory. In particular, for infinitely large systems, the effect of the boundary decays as the distance to the power −1/2 instead of the inverse of the distance, as predicted by the mean field theory.
en
1992-11
false
http://link.springer.com/10.1007/BF01050430
articles
667-687
https://scigraph.springernature.com/explorer/license/
2019-04-10T18:17
1992-11-01
research_article
doi
10.1007/bf01050430
B.
Derrida
pub.1033813849
dimensions_id
69
E.
Domany
Service de Physique Théorique, CE Saclay, F-91191, Gif sur Yvette, France
Journal of Statistical Physics
0022-4715
1572-9613
Department of Electronics, Weizmann Institute of Science, 76100, Rehovot, Israel
Department of Physics, Weizmann Institute of Science, 76100, Rehovot, Israel
Weizmann Institute of Science
a114227018bc79da870d1ac3a2b25efd9f4a7a0653ae9e02d440eb6f7cda86d2
readcube_id
Mathematical Sciences
Pure Mathematics
D.
Mukamel
Springer Nature - SN SciGraph project
3-4