Povolotsky, A. M. and Priezzhev, V. B. (2006) Determinant solution for the totally asymmetric exclusion process with parallel update. Journal of Statistical Mechanics: Theory and Experiment, 2006 (07). P07002-P07002. ISSN 1742-5468
Preview |
Text
DIAS-STP-06-06.pdf Download (384kB) | Preview |
Abstract
We consider the totally asymmetric exclusion process in discrete time with the parallel update. Constructing an appropriate transformation of the evolution operator, we reduce the problem to that solvable by the Bethe ansatz. The non-stationary solution of the master equation for the infinite 1D lattice is obtained in a determinant form. Using a modified combinatorial treatment of the Bethe ansatz, we give an alternative derivation of the resulting determinant expression.
Item Type: | Article |
---|---|
Divisions: | School of Theoretical Physics > Preprints |
Date Deposited: | 05 Oct 2017 19:31 |
Last Modified: | 15 Dec 2022 08:02 |
URI: | https://dair.dias.ie/id/eprint/173 |
Actions (login required)
View Item |
Downloads
Downloads per month over past year