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Macroscopic versus microscopic linear response

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  • Gosar, P.

Abstract

The non-linear adiabatic response of some simple quantum systems to weak but finite driving forces is investigated. In particular, the effect of the electric field on the motion of a charged particle in a weak periodic potential, in a narrow one-dimensional energy band, and in a two-level system, is calculated. The possibility of the linear high field response is demonstrated. Such a macroscopic linear response is different from the microscopic Green-Kubo response because of the non-linear dynamic behaviour of systems. Kinetic coefficients and susceptibilities for realistic systems may be complicated functions of driving forces even if the external perturbations are weak. Different quasi-linear regions of response are possible.

Suggested Citation

  • Gosar, P., 1978. "Macroscopic versus microscopic linear response," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(1), pages 233-244.
    • Handle: RePEc:eee:phsmap:v:92:y:1978:i:1:p:233-244
    DOI: 10.1016/0378-4371(78)90031-6
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