Nonstationary probabilities and time correlation functions for an asymmetric exclusion process
Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 3, pp. 499-508
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We give the complete solution of the master equation for a system of interacting particles with finite density. We obtain the solution using a new form of the Bethe ansatz for an asymmetric simple exclusion process on the ring. We first find the one-point time correlation function for the discrete version of the process.
Keywords:
one-dimensional models of interacting particles, Bethe ansatz, conditional probability, correlation function.
@article{TMF_2006_146_3_a10,
author = {M. V. Makhanova and V. B. Priezzhev},
title = {Nonstationary probabilities and time correlation functions for an asymmetric exclusion process},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {499--508},
publisher = {mathdoc},
volume = {146},
number = {3},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2006_146_3_a10/}
}
TY - JOUR AU - M. V. Makhanova AU - V. B. Priezzhev TI - Nonstationary probabilities and time correlation functions for an asymmetric exclusion process JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2006 SP - 499 EP - 508 VL - 146 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2006_146_3_a10/ LA - ru ID - TMF_2006_146_3_a10 ER -
%0 Journal Article %A M. V. Makhanova %A V. B. Priezzhev %T Nonstationary probabilities and time correlation functions for an asymmetric exclusion process %J Teoretičeskaâ i matematičeskaâ fizika %D 2006 %P 499-508 %V 146 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2006_146_3_a10/ %G ru %F TMF_2006_146_3_a10
M. V. Makhanova; V. B. Priezzhev. Nonstationary probabilities and time correlation functions for an asymmetric exclusion process. Teoretičeskaâ i matematičeskaâ fizika, Tome 146 (2006) no. 3, pp. 499-508. http://geodesic.mathdoc.fr/item/TMF_2006_146_3_a10/