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Campari R, Cassi D. Statistics of reciprocal distances for random walks of three particles in one dimension. Phys Rev E Stat Nonlin Soft Matter Phys. 2011;83(4):041107doi: 10.1103/PhysRevE.83.041107.
Campari, R., & Cassi, D. (2011). Statistics of reciprocal distances for random walks of three particles in one dimension. Physical review. E, Statistical, nonlinear, and soft matter physics, 83(4), 041107. https://doi.org/10.1103/PhysRevE.83.041107
Campari, Riccardo, and Cassi, Davide. "Statistics of reciprocal distances for random walks of three particles in one dimension." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 83,4 (2011): 041107. doi: https://doi.org/10.1103/PhysRevE.83.041107
Campari R, Cassi D. Statistics of reciprocal distances for random walks of three particles in one dimension. Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Apr;83(4):041107. doi: 10.1103/PhysRevE.83.041107. Epub 2011 Apr 08. PMID: 21599115.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Apr;83(4):041107. doi: 10.1103/PhysRevE.83.041107. Epub 2011 Apr 08.

Statistics of reciprocal distances for random walks of three particles in one dimension.

Physical review. E, Statistical, nonlinear, and soft matter physics

Riccardo Campari, Davide Cassi

Affiliations

  1. Università San Raffaele Roma, via Fantoli 16/15, I-20138 Milano, Italy. [email protected]

PMID: 21599115 DOI: 10.1103/PhysRevE.83.041107

Abstract

We investigate the collective properties of three particles performing both independent and interacting random walks on an infinite line by studying the problem on the corresponding distance graph. In the large times limit, we obtain the asymptotically exact behavior of several probability functions regarding maximum and minimum mutual distances among particles. Finally, we suggest possible applications of our results.

©2011 American Physical Society

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