EXACT DIFFUSION CONSTANT OF A ONE-DIMENSIONAL ASYMMETRIC EXCLUSION MODEL WITH OPEN BOUNDARIES

Citation
B. Derrida et al., EXACT DIFFUSION CONSTANT OF A ONE-DIMENSIONAL ASYMMETRIC EXCLUSION MODEL WITH OPEN BOUNDARIES, Journal of statistical physics, 79(5-6), 1995, pp. 833-874
Citations number
28
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
79
Issue
5-6
Year of publication
1995
Pages
833 - 874
Database
ISI
SICI code
0022-4715(1995)79:5-6<833:EDCOAO>2.0.ZU;2-Y
Abstract
For the 1D fully asymmetric exclusion model with open boundary conditi ons, we calculate exactly the fluctuations of the current of particles . The method used is an extension of a matrix technique developed rece ntly to describe the equal-time steady-state properties for open bound ary conditions and the diffusion constant for particles on a ring. We show how the fluctuations of the current are related to non-equal-time correlations. In the thermodynamic limit, our results agree with rece nt results of Ferrari and Fontes obtained by working directly in the i nfinite system. We also show that the fluctuations of the current beco me singular when the system undergoes a phase transition with disconti nuities along the first-order transition line.