%0 Journal Article %1 schutz1997exact %A Schütz, Gunter M %D 1997 %I Springer %J Journal of statistical physics %K TASEP particle_systems statistical_physics %N 1 %P 427--445 %T Exact solution of the master equation for the asymmetric exclusion process %U https://arxiv.org/abs/cond-mat/9701019 %V 88 %X Using the Bethe ansatz, we obtain the exact solution of the master equation for the totally asymmetric exclusion process on an infinite one-dimensional lattice. We derive explicit expressions for the conditional probabilities P(xl,..., xN; tl Yt,...,YN; 0) of finding N particles on lattices sites x~,..., x u at time t with initial occupation y~ ,..., YN at time t = 0.

@article{schutz1997exact, abstract = {Using the Bethe ansatz, we obtain the exact solution of the master equation for the totally asymmetric exclusion process on an infinite one-dimensional lattice. We derive explicit expressions for the conditional probabilities P(xl,..., xN; tl Yt,...,YN; 0) of finding N particles on lattices sites x~,..., x u at time t with initial occupation y~ ,..., YN at time t = 0.}, added-at = {2021-12-11T06:36:03.000+0100}, author = {Sch{\"u}tz, Gunter M}, biburl = {https://www.bibsonomy.org/bibtex/2599759cb8ff889bcd8c0f176a93e9594/peter.ralph}, interhash = {355f78223fb413b8e13a043cb8639124}, intrahash = {599759cb8ff889bcd8c0f176a93e9594}, journal = {Journal of statistical physics}, keywords = {TASEP particle_systems statistical_physics}, number = 1, pages = {427--445}, publisher = {Springer}, timestamp = {2021-12-11T06:36:03.000+0100}, title = {Exact solution of the master equation for the asymmetric exclusion process}, url = {https://arxiv.org/abs/cond-mat/9701019}, volume = 88, year = 1997 }