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Finite-size scaling in the steady state of the fully asymmetric exclusion process
1Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev Street 4, 1113 Sofia, Bulgaria.
Abstract:
Finite-size scaling expressions for the current near the continuous phase transition and for the local density near the first-order transition are found in the steady state of the one-dimensional fully asymmetric simple-exclusion process with open boundaries and discrete-time dynamics. The corresponding finite-size scaling variables are identified as the ratio of the chain length to the localization length of the relevant domain wall.