Related Experiment Video
Updated: May 21, 2026

Spatial Temporal Analysis of Fieldwise Flow in Microvasculature
Published on: November 18, 2019
Statistics of current-activity fluctuations in asymmetric flow with exclusion
R B Stinchcombe1, S L A de Queiroz
1Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom. r.stinchcombe1@physics.ox.ac.uk
Abstract:
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.
Related Concept Videos
Rapidly Varying Flow
Steady Flow of a Fluid Stream
During this process, the momentum of the fluid within the control volume remains constant over the time interval dt. By applying the...
Signal Flow Graphs
In a signal-flow graph, branches denote the system's transfer functions, while nodes represent the signals. The direction of signal flow is indicated by arrows, with the corresponding...
Uniform Depth Channel Flow
Flow Cytometry
In...
Poiseuille's Law and Reynolds Number

