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Nonlinear dissipation in a finite-sized quantum system

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  • Wilkinson, Michael

Abstract

We consider the effect of an intense, slowly varying electric field ε on a small conducting particle. Landau-Zener transitions provide a mechanism for irreversibly increasing the energy on the electrons in the particle, causing dissipation of the energy of the applied electric field. The rate of dissipation is proportional to ε.32, a result which is universal and different from that of linear response theory. The possibility of observing this effect experimentally is discussed.

Suggested Citation

  • Wilkinson, Michael, 1989. "Nonlinear dissipation in a finite-sized quantum system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(1), pages 58-63.
    • Handle: RePEc:eee:phsmap:v:157:y:1989:i:1:p:58-63
    DOI: 10.1016/0378-4371(89)90278-1
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    1. Robert W. Adams & John T. Wheeler, 1952. "External Economies and the Falling Supply Curve," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 20(1), pages 24-39.
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