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Semilinear response : ウィキペディア英語版
Semilinear response


Semi-linear response theory (SLRT) is an extension of linear response theory (LRT) for mesoscopic circumstances: LRT applies if the driven transitions are much weaker/slower than the environmental relaxation/dephasing effect, while SLRT assumes the opposite conditions. SLRT uses a resistor network analogy (see illustration) in order to calculate the rate of energy absorption: The driving induces transitions between energy levels, and connected sequences of transitions are essential in order to have a non-vanishing result, as in the theory of percolation.

==Applications==
The original motivation for introducing SLRT was the study of mesosopic conductance
〔D. Cohen, T. Kottos, H. Schanz, J. Phys. A 39, 11755 (2006)〕
〔S. Bandopadhyay, Y. Etzioni and D. Cohen, Europhys. Lett. 76, 739 (2006)〕
〔A. Stotland, R. Budoyo, T. Peer, T. Kottos, D. Cohen, J. Phys. A 41, 262001(FTC) (2008)〕
.〔A. Stotland, T. Kottos, D. Cohen, Phys. Rev. B 81, 115464 (2010)〕
The term SLRT has been coined in
〔M. Wilkinson, B. Mehlig, D. Cohen, Europhys. Lett. 75, 709 (2006)〕
where it has been applied to the calculation of energy absorption by metallic grains.
Later the theory has been applied for analysing the rate of heating of atoms in vibrating traps
.〔A. Stotland, D. Cohen, N. Davidson, Europhys. Lett. 86, 10004 (2009)〕

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