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- W3098033733 abstract "We study the long time asymptotics of the relaxation dynamics of the totally asymmetric simple exclusion process on a ring. Evaluating the asymptotic amplitudes of the local currents by the algebraic Bethe ansatz method, we find the relaxation times starting from the step and alternating initial conditions are governed by different eigenvalues of the Markov matrix. In both cases, the scaling exponents of the leading asymptotic amplitudes with respect to the total number of sites are found to be -1. We also study the asymptotics of correlation functions such as the emptiness formation probability." @default.
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- W3098033733 date "2012-10-29" @default.
- W3098033733 modified "2023-10-16" @default.
- W3098033733 title "Long time asymptotics of the totally asymmetric simple exclusion process" @default.
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- W3098033733 doi "https://doi.org/10.1088/1751-8113/45/46/465004" @default.
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