IJPAM: Volume 44, No. 3 (2008)

THE STEADY STATE ABSORPTION STREAM AT
AN ABSORBING BOUNDARY

Alexander Spivak
Department of Sciences
Institute of Technology
Holon Academic Institute
P.O. Box 305, 52 Golomb Str., Holon, 58102, ISRAEL
e-mail: [email protected]


Abstract.We consider the problem of the arrival process of particle into absorbing boundary. In this paper was shown that for general absorbing boundary the steady stream of arrivals is Poissonian with the rate equal to the total flux on the absorbing boundary. The considered problem arises in the theory of Langevin simulations of ions in electrolytic solutions.

Received: November 22, 2007

AMS Subject Classification: 0H10, 82C31, 46N55, 47N55

Key Words and Phrases: arrival process, absorbing boundary

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 44
Issue: 3