The span of one-dimensional multiparticle Brownian motion

A closed-form expression is obtained for the time evolution of the territory covered by N independently diffusing particles starting from the origin in one-dimension, with and without bias. For the latter case, the transcendental-approximation derived is essentially exact for any number of particles...

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Veröffentlicht in:The Journal of chemical physics 1996-02, Vol.104 (8), p.3022-3025
Hauptverfasser: Sastry, G. Madhavi, Agmon, Noam
Format: Artikel
Sprache:eng
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Beschreibung
Zusammenfassung:A closed-form expression is obtained for the time evolution of the territory covered by N independently diffusing particles starting from the origin in one-dimension, with and without bias. For the latter case, the transcendental-approximation derived is essentially exact for any number of particles.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.471069