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Where do Brownian particles spend their time?

Author

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  • Bicout, D.J
  • Berezhkovskii, A.M
  • Weiss, G.H

Abstract

We study statistical properties of the fraction of time spent by a Brownian particle in different regions of space. Also treated in our analysis are the effects of one or more constraints on the trajectory at different times. We show that the effects of imposing n constraints can be analyzed in terms of the probability density of the residence time for a single constraint. An analogy to the description of the spatial density of a polymer chain is proposed and applied to evaluate the monomeric density in some specific examples.

Suggested Citation

  • Bicout, D.J & Berezhkovskii, A.M & Weiss, G.H, 1998. "Where do Brownian particles spend their time?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 258(3), pages 352-364.
    • Handle: RePEc:eee:phsmap:v:258:y:1998:i:3:p:352-364
    DOI: 10.1016/S0378-4371(98)00247-7
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    Cited by:

    1. Weiss, Gerhard, 2000. "Evaluation of policy instruments for protective forest management in Austria," Forest Policy and Economics, Elsevier, vol. 1(3-4), pages 243-255, December.

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