Statistics of current-activity fluctuations in asymmetric flow with exclusion

Statistics of current-activity fluctuations in asymmetric flow with exclusion

We consider steady-state current activity statistics for the one-dimensional totally asymmetric simple exclusion process. 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 clos...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 85; no. 4 Pt 1; p. 041111
Main Authors: Stinchcombe, R B, de Queiroz, S L A
Format: Journal Article
Language:English
Published: United States 01-04-2012
Subjects:
Colloids - chemistry
Computer Simulation
Models, Chemical
Models, Molecular
Rheology - methods
Solutions - chemistry
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Summary:We consider steady-state current activity statistics for the one-dimensional totally asymmetric simple exclusion process. 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.
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ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.85.041111