Random motions in inhomogeneous media Academic Article

abstract

  • Space inhomogeneous random motions of particles on the line and in the plane are considered in the paper. The changes of the movement direction are driven by a Poisson process. The particles are assumed to move according to a finite velocity field that depends on a spatial argument. The explicit distribution of particles is obtained in the paper for the case of dimension 1 in terms of characteristics of the governing equations. In the case of dimension 2, the distribution is obtained if a rectifying diffeomorphism exists. © 2008 American Mathematical Society.

publication date

  • 2008/1/1

keywords

  • Diffeomorphism
  • Galois field
  • Governing equation
  • Inhomogeneous Media
  • Line
  • Motion
  • Movement
  • Poisson process
  • Velocity Field

International Standard Serial Number (ISSN)

  • 0094-9000

number of pages

  • 13

start page

  • 141

end page

  • 153