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A correlated random walk for the transport and sedimentation of particles
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- Journal:
- Journal of Applied Probability / Volume 25 / Issue A / 1988
- Published online by Cambridge University Press:
- 14 July 2016, pp. 335-346
- Print publication:
- 1988
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- Article
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This paper considers a bivariate random walk model
on a rectangular lattice for a particle injected into a fluid flowing in a tank. The numbers of jumps of the particle in the x and y directions in this particular model are correlated. It is shown that when the random walk forms a bivariate Markov chain in continuous time, it is possible to obtain the state probabilities pxy(t) through their Laplace transforms. Two exit rules are considered and results for both of them derived.
on a rectangular lattice for a particle injected into a fluid flowing in a tank. The numbers of jumps of the particle in the 