https://doi.org/10.1140/epjb/e2008-00197-6
Exact results for the 1D asymmetric exclusion process and KPZ fluctuations
Department of Mathematics and Informatics, Chiba University,
1-33 Yayoi-cho, Inage, Chiba 263-8522, Japan
Corresponding author: a sasamoto@math.s.chiba-u.ac.jp
Received:
14
September
2007
Revised:
15
February
2008
Published online:
21
May
2008
We discuss several properties of the current of the one-dimensional asymmetric simple exclusion process (ASEP) through exact solutions. First we explain the stationary measure for the finite system with boundaries and its average current. Then we study the fluctuation properties of the current and the position of a tagged particle for the infinite system in the Kardar-Parisi-Zhang (KPZ) scaling region.
PACS: 05.70.Ln – Nonequilibrium and irreversible thermodynamics / 02.50.Ey – Stochastic processes / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008
