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A new quantum model for Ohmic dissipation

Wilkinson, Michael (2001). A new quantum model for Ohmic dissipation. Journal of Physics: Condensed Matter, 13 pp. 8087–8103.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1088/0953-8984/13/35/315
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Abstract

This paper discusses a model for dissipation in electrical conductors, in which a time-dependent flux X(t) is threaded through a loop. The rate of dissipation is proportional to a constant D_E characterising the diffusion of single particle energies and Ohmic dissipation occurs when D_E is proportional to \dot X^2. The diffusion constant D_E is investigated for a random matrix model and compared with the predictions of the Kubo-Greenwood formula. The results agree with the Kubo-Greenwwod formula in a physically significant regime where other models do not show agreement. Numerical experiments also identified another regime of this model which exhibits Ohmic dissipation, with a conductance which does not agree with the Kubo-Greenwood formula.

Item Type: Journal Article
ISSN: 0953-8984
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 3498
Depositing User: Michael Wilkinson
Date Deposited: 27 Jun 2006
Last Modified: 02 Dec 2010 19:49
URI: http://oro.open.ac.uk/id/eprint/3498
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