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Walks in rigid environments

Author

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  • Bunimovich, Leonid A.

Abstract

We consider a motion of the particle in a random configuration of scatterers on a lattice. There is a feedback of the particle on an environment which is characterized by its rigidity r. The type of a scatterer at a site of the lattice changes after the rth visit of the particle to this site. We show that in one-dimensional lattice the particle will eventually propagate in one direction with a random velocity if a rigidity is an odd number and it will oscillate (about origin) with an unbounded amplitude if r is an even number. The average velocity of propagation and the expected time until the first passage through a given site of the lattice are computed.

Suggested Citation

  • Bunimovich, Leonid A., 2000. "Walks in rigid environments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 279(1), pages 169-179.
    • Handle: RePEc:eee:phsmap:v:279:y:2000:i:1:p:169-179
    DOI: 10.1016/S0378-4371(99)00518-X
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