The random walk as an eigenvalue problem

The random walk as an eigenvalue problem

The random walk in one dimension can be effectively used to introduce or reinforce a number of advanced mathematical and physical concepts. Here the behavior of an ensemble of particles executing random walks is discussed as an eigenvalue problem, and as a system for which entropy can be calculated...

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Bibliographic Details
Published in:American journal of physics Vol. 61; no. 12; pp. 1111 - 1113
Main Authors: Franceschetti, D. R., Hunke, E. C., Zhang, X., Haddock, J. R.
Format: Journal Article
Language:English
Published: Woodbury American Institute of Physics 01-12-1993
Subjects:
Physics
Science education
ENSEMBLE
EIGENVALUES
NONEQUILIBRIUM
ONE−DIMENSIONAL CALCULATIONS
RANDOM WALK
STATISTICAL MECHANICS
ENTROPY
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Description
Summary:The random walk in one dimension can be effectively used to introduce or reinforce a number of advanced mathematical and physical concepts. Here the behavior of an ensemble of particles executing random walks is discussed as an eigenvalue problem, and as a system for which entropy can be calculated in a nonequilibrium state.
ISSN:0002-9505
1943-2909
DOI:10.1119/1.17443