Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2012-02-03
Physical Review E 85, 041111 (2012)
Physics
Condensed Matter
Statistical Mechanics
15 pages, 8 figures, published version
Scientific paper
10.1103/PhysRevE.85.041111
We consider steady-state current activity statistics for the one-dimensional totally asymmetric simple exclusion process (TASEP). With the help of the known operator algebra (for general open boundary conditions), as well as general probabilistic concepts (for the periodic case), we derive and evaluate closed-form expressions for the lowest three moments of the probability distribution function. These are confirmed, to excellent degree of accuracy, by numerical simulations. Further exact expressions and asymptotic approximations are provided for probability distributions and generating functions.
de Queiroz L. A. S.
Stinchcombe Robin B.
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