Article

Pathlines in exclusion processes.

Department of Mathematics and Statistics, The University of Melbourne, Victoria 3010, Australia.
Physical Review E (impact factor: 2.26). 04/2009; 79(3 Pt 1):031920. pp.031920
Source: PubMed

ABSTRACT Trajectory data from observations of a random-walk process are often used to characterize macroscopic transport coefficients and to make inferences about motility mechanisms. Continuum equations describing the average moments of the position of an agent in an exclusion process are derived and validated with simulation data. Unlike standard noninteracting random walks, the moment equations for the exclusion process explicitly represent the interaction of agents since they depend on the averaged macroscopic agent density. Key issues associated with the validity of the continuum equations and interpretation of experimental data are discussed.

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Keywords

agents
 
average moments
 
averaged macroscopic agent density
 
continuum equations
 
Key issues
 
macroscopic transport coefficients
 
moment equations
 
motility mechanisms
 
observations
 
simulation data
 
standard noninteracting random walks