caa a22 4500 445391979 CHVBK 20180317143049.0 cr unu---uuuuu 170323e20110201xx s 000 0 eng 10.1007/s10955-011-0133-y doi (NATIONALLICENCE)springer-10.1007/s10955-011-0133-y Generalized Green Functions and Current Correlations in the TASEP [Elektronische Daten] [A. Povolotsky, V. Priezzhev, G. Schütz] We study correlation functions of the totally asymmetric simple exclusion process (TASEP) in discrete time with backward sequential update. We prove a determinantal formula for the generalized Green function which describes transitions between positions of particles at different individual time moments. In particular, the generalized Green function defines a probability measure at staircase lines on the space-time plane. The marginals of this measure are the TASEP correlation functions in the space-time region not covered by the standard Green function approach. As an example, we calculate the current correlation function that is the joint probability distribution of times taken by selected particles to travel given distance. An asymptotic analysis shows that current fluctuations converge to the Airy2 process. Springer Science+Business Media, LLC, 2011 Totally Asymmetric Simple Exclusion Process nationallicence Bethe Ansatz nationallicence Determinantal Point Processes nationallicence Kardar-Parisi-Zhang universality class nationallicence Povolotsky A. Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia aut Priezzhev V. Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia aut Schütz G. Forschungszentrum Jülich GmbH, Institut für Festkörperforschung, 52425, Jülich, Germany aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/4(2011-02-01), 754-791 0022-4715 142:4<754 2011 142 10955 https://doi.org/10.1007/s10955-011-0133-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0133-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Povolotsky A. Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia aut NATIONALLICENCE 700 1- Priezzhev V. Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia aut NATIONALLICENCE 700 1- Schütz G. Forschungszentrum Jülich GmbH, Institut für Festkörperforschung, 52425, Jülich, Germany aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 142/4(2011-02-01), 754-791 0022-4715 142:4<754 2011 142 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer