General Solution of the Linear Biased Correlated Walk

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概要

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• The arrival probabilities with directions for a linear biased correlated walk, satisfycoupled linear difference equations. An exact analytic solution to these equationswith a periodic boundary and a general initial condition, is obtained. The solution foran inhomogeneous initial condition can be expressed in terms of the Chevyshevpolynomials of the second kind, and is quite complicated. For a homogeneous initialcondition, the analytic expressions for the arrival probabilities can be written down insingle lines. With a finite bias, the system approaches a stationary state in which the ar-rival probabilities are different for different directions, and a finite current exists. Asan application of the theory, a dilute solution of CO in liquid Ar under an electricfield is discussed.

• 社団法人日本物理学会の論文
• 1987-01-15

著者

• Fujita Shigeji

  Laboratorio De Laseres Universidad Autonoma Metropolitana-iztapalapa:facultad De Ciencias Universida

• Godoy S.V.

  Laboratorio de Laseres,Universidad Autonoma Metropolitana-Iztapalapa:Facultad de Ciencias,Universidad Nacional Autonoma de Mexico

関連論文

• Means and Variances in Time Series Described by Unidirectional Random Walks
• General Solution of the Linear Biased Correlated Walk

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