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Two methods to measure granular gas temperature

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Grains are vibrated so as to achieve a granular gas, here regarded as an archetype for a dissipative Non Equilibrium Steady State (NESS). We report on two distinct and concordant… Click to show full abstract

Grains are vibrated so as to achieve a granular gas, here regarded as an archetype for a dissipative Non Equilibrium Steady State (NESS). We report on two distinct and concordant experimental measures of the system effective temperature. To do so, a blade fastened to the shaft of a small DC-motor, immersed in the grains, behaves as a driven 1D Brownian rotator which is used as both actuator and sensor, simultaneously. On the one hand, the Gallavotti-Cohen Fluctuation Theorem (FT), which involves a measure of the asymmetry of the energy exchanges between the rotator and the NESS reservoir, provides a first effective temperature. On the other hand, the Fluctuation-Dissipation Theorem (FDT), which involves the relation between the spontaneous fluctuations and the response to a weak perturbation, defines a second, independent, effective temperature. Both methods, even though they are based on drastically different ideas, give nicely concordant results.

Keywords: temperature; two methods; measure; granular gas; effective temperature

Journal Title: Journal of Statistical Mechanics: Theory and Experiment
Year Published: 2017

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