IJPAM: Volume 54, No. 4 (2009)

THERMAL NOISE IN A MODIFIED DRUDE MODEL

Eugen Grycko$^1$, Werner Kirsch$^2$, Martin Könenberg$^3$,
Jun Li$^4$, Tobias Mühlenbruch$^5$, Jens Rentmeister$^6$
$^{1,2,3,4,5}$ Department of Mathematics and Computer Science
University of Hagen
125, Lützowstrasse, Hagen, D-58084, GERMANY
$^1$e-mail: eugen.grycko@fernuni-hagen.de
$^2$e-mail: werner.kirsch@fernuni-hagen.de
$^3$e-mail: martin.koenenberg@fernuni-hagen.de
$^4$e-mail: jun.li@fernuni-hagen.de
$^5$e-mail: tobias.muehlenbruch@fernuni-hagen.de
$^5$OmegaSpace.de
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