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 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.
Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom. r.stinchcombe1@physics.ox.ac.uk
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Stinchcombe
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de Queiroz
D003102:Colloids / Q000737:chemistry*; D003198:Computer Simulation; D008956:Models, Chemical; D008958:Models, Molecular; D012212:Rheology / Q000379:methods*; D012996:Solutions / Q000737:chemistry*
D003102:Colloids; D012996:Solutions