Biased random walk on a biased random walk
β Scribed by R. Kutner
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 329 KB
- Volume
- 171
- Category
- Article
- ISSN
- 0378-4371
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β¦ Synopsis
We consider the random walk of a particle along topologically linear channels under the influence of a uniform drift force. The channels are generated by the usual biased random walk procedure. The resulting mean-and mean-square displacements of a particle are discussed.
π SIMILAR VOLUMES
The solution of the one-dimensional persistent, biased random walk is found. Its finite differences equation is derived and shown to be satisfied by the said solution.
The motion of swimming micro-organisms that have a preferred direction of travel, such as single-celled algae moving upwards (gravitaxis) or towards a light source (phototaxis), is modelled as the continuous limit of a correlated and biased random walk as the time step tends to zero. This model lead