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Non-Isothermal Fluctuation-Dissipation Relations and Brownian Thermometry

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arxiv 1406.2116 v1 pith:MLSKDXOB submitted 2014-06-09 cond-mat.stat-mech

Gianmaria Falasco , Manuel Victor Gnann , Klaus Kroy This is my paper · ORCID
classification cond-mat.stat-mech
keywords brownianfluctuation-dissipationnon-isothermalmotionrelationstheoremthermometryapplicable
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The classical theory of Brownian motion rests on fundamental laws of statistical mechanics, such as the equipartition theorem and the fluctuation-dissipation theorem, which are not applicable in non-isothermal situations. We derive the generalized fluctuation-dissipation relations and Langevin equations governing such non-isothermal Brownian motion, including explicit results for the frequency-dependent noise temperature and Brownian thermometry far from equilibrium.

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  1. Brownian Thermometry Beyond Equilibrium

    cond-mat.soft 2019-08 conditional novelty 2.0 of 10

    A review of Brownian thermometry in non-equilibrium fluids, centered on exactly computable effective temperatures for hot Brownian motion and a proposed metric hierarchy involving fluctuation theorems.

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