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Journal Articles Journal of Statistical Mechanics: Theory and Experiment Year : 2019

Extended Nyquist formula for a resistance subject to a heat flow

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Abstract

The Nyquist formula quantifies the thermal noise driven fluctuations of voltage across a resistance in equilibrium. We deal here with the case of a resistance driven out of equilibrium by putting it in contact with two thermostats at different temperatures. We reach a non-equilibrium steady state where a heat flux is flowing through the resistance. Our measurements demonstrate anyway that a simple extension of the Nyquist formula to the non uniform temperature field describes with an excellent precision the thermal noise. For a metallic ohmic material, the fluctuations are actually equivalent to those of a resistance in equilibrium with a single thermostat at the mean temperature between the hot and cold sources.
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Dates and versions

ensl-02148352 , version 1 (05-06-2019)
ensl-02148352 , version 2 (05-11-2019)

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Benjamin Monnet, Sergio Ciliberto, Ludovic Bellon. Extended Nyquist formula for a resistance subject to a heat flow. Journal of Statistical Mechanics: Theory and Experiment, 2019, 2019 (10), pp.104011. ⟨10.1088/1742-5468/ab363c⟩. ⟨ensl-02148352v2⟩
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