Finite-size scaling in the steady state of the fully asymmetric exclusion process

Details Finite-size scaling in the steady state of the fully asymmetric exclusion process Finite-size scaling in the steady state of the fully asymmetric exclusion process

2002-01-31

arxiv.org/abs/nlin/0201064v1

Nonlinear Sciences

Cellular Automata and Lattice Gases

9 pages, 1 figure Submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.65.046111

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 (FASEP) 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.

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