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Fluctuations of TASEP on a Ring in Relaxation Time Scale
dc.contributor.authorBaik, Jinho
dc.contributor.authorLiu, Zhipeng
dc.date.accessioned2018-03-07T18:23:52Z
dc.date.available2019-05-13T14:45:23Zen
dc.date.issued2018-04
dc.identifier.citationBaik, Jinho; Liu, Zhipeng (2018). "Fluctuations of TASEP on a Ring in Relaxation Time Scale." Communications on Pure and Applied Mathematics 71(4): 747-813.
dc.identifier.issn0010-3640
dc.identifier.issn1097-0312
dc.identifier.urihttps://hdl.handle.net/2027.42/142448
dc.description.abstractWe consider the totally asymmetric simple exclusion process on a ring with flat and step initial conditions. We assume that the size of the ring and the number of particles tend to infinity proportionally and evaluate the fluctuations of tagged particles and currents. The crossover from the KPZ dynamics to the equilibrium dynamics occurs when the time is proportional to the 3/2 power of the ring size. We compute the limiting distributions in this relaxation time scale. The analysis is based on an explicit formula of the finite‐time one‐point distribution obtained from the coordinate Bethe ansatz method. © 2017 Wiley Periodicals, Inc.
dc.publisherWiley Periodicals, Inc.
dc.titleFluctuations of TASEP on a Ring in Relaxation Time Scale
dc.typeArticleen_US
dc.rights.robotsIndexNoFollow
dc.subject.hlbsecondlevelMathematics
dc.subject.hlbtoplevelScience
dc.description.peerreviewedPeer Reviewed
dc.description.bitstreamurlhttps://deepblue.lib.umich.edu/bitstream/2027.42/142448/1/cpa21702.pdf
dc.identifier.doi10.1002/cpa.21702
dc.identifier.sourceCommunications on Pure and Applied Mathematics
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dc.owningcollnameInterdisciplinary and Peer-Reviewed


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