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Fluctuations in driven systems

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  • Kafri, Yariv

Abstract

The lecture notes give an introduction to some aspects of fluctuations in driven systems. First, a particularly straightforward derivation of fluctuation theorems and their relation to linear response will be given. Being particularly simple the derivation gives clear limitations on the regime of validity of the theorems. Second, an introduction to systems in local thermal equilibrium, in time and space, will be given. To this end, two building blocks will be studied. One a system which is driven by some cyclically changing external potential. The other consisting of two systems, at different temperatures, which are equilibrating. Both building blocks display an interesting time evolution. For example, the statistical properties of fluctuations of the energy in driven isolated systems generally fall into two types of distinct behaviors. Following this a systematic approach for describing more complicated systems will be outlined by studying other setups. Specifically, driven-dissipative systems and systems driven by two external baths at different temperatures. The formalism will be used to elucidate, in a minimal model, the origin and sign of correlation in a boundary driven system.

Suggested Citation

  • Kafri, Yariv, 2015. "Fluctuations in driven systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 418(C), pages 154-169.
    • Handle: RePEc:eee:phsmap:v:418:y:2015:i:c:p:154-169
    DOI: 10.1016/j.physa.2014.08.005
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    1. J. Majer & J. M. Chow & J. M. Gambetta & Jens Koch & B. R. Johnson & J. A. Schreier & L. Frunzio & D. I. Schuster & A. A. Houck & A. Wallraff & A. Blais & M. H. Devoret & S. M. Girvin & R. J. Schoelko, 2007. "Coupling superconducting qubits via a cavity bus," Nature, Nature, vol. 449(7161), pages 443-447, September.
    2. Rainer Blatt & David Wineland, 2008. "Entangled states of trapped atomic ions," Nature, Nature, vol. 453(7198), pages 1008-1015, June.
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    Keywords

    Statistical mechanics; Non-equilibrium;

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