IJPAM: Volume 87, No. 2 (2013)


Eugen Grycko$^1$, Werner Kirsch$^2$, Tobias Mühlenbruch$^3$
$^{1,2,3}$Department of Mathematics and Computer Science
University of Hagen
Universitätsstrasse 1, D-58084 Hagen, GERMANY

Abstract. We consider the electronic gas in a virtual conductor which is described in terms of a modified Drude model. The attractiveness of this model has been rediscovered in the computer era when it has been recognized that a dynamics of the electrons can be efficiently implemented enabling us to carry out simulation experiments.

Nonparametric statistical tools for the evaluation of the experiments are introduced and motivated by consistency results.

It turns out that the thermal voltage in a virtual nanoconductor can be surprisingly high. Based on the statistical evaluation we propose the stationary Ornstein-Uhlenbeck process for the description of the thermal voltage as function of time; estimates of the parameters of the process are reported and discussed.

Received: February 15, 2013

AMS Subject Classification: 60G10, 60G15, 60G99, 62G07, 62G20

Key Words and Phrases: $\alpha$-mixing, estimator, system identification

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DOI: 10.12732/ijpam.v87i2.5 How to cite this paper?
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 87
Issue: 2