IJPAM: Volume 54, No. 4 (2009)



Jun Li




University of Hagen
125, Lützowstrasse, Hagen, D-58084, GERMANY






90, Thingslindestrasse, Kierspe, D-58566, GERMANY
e-mail: support@omegaspace.de
Abstract.A modified Drude model for the gas of electrons
in a conductor is introduced as a dynamical system of charged mass
points. The passage process through a cut is studied; based on a
computer experiment, a Poisson point process is proposed for the
description of the passage process. Formulas for stochastic
pendants of electrodynamic quantities are derived; in particular a
formula for the variance of time averages of the thermal voltage
at the ends of a conductor is motivated from local Ohm's
law.
Received: July 1, 2009
AMS Subject Classification: 60K40
Key Words and Phrases: Poisson point process, local Ohm's law, stochastic current
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 54
Issue: 4