Minimal model of stochastic athermal systems: origin of non-Gaussian noise

Physical Review Letters
Kiyoshi KanazawaHisao Hayakawa

Abstract

For a wide class of stochastic athermal systems, we derive Langevin-like equations driven by non-Gaussian noise, starting from master equations and developing a new asymptotic expansion. We found an explicit condition whereby the non-Gaussian properties of the athermal noise become dominant for tracer particles associated with both thermal and athermal environments. Furthermore, we derive an inverse formula to infer microscopic properties of the athermal bath from the statistics of the tracer particle. We apply our formulation to a granular motor under viscous friction and analytically obtain the angular velocity distribution function. Our theory demonstrates that the non-Gaussian Langevin equation is the minimal model of athermal systems.

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Citations

Sep 16, 2015·Physical Review Letters·Koshiro Suzuki, Hisao Hayakawa
Jan 13, 2016·Scientific Reports·Yukinori NishigamiMasatoshi Ichikawa
Jul 23, 2020·Soft Matter·Jin Tae ParkHyuk Kyu Pak
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Oct 16, 2016·Physical Review. E·Roman BelousovLamberto Rondoni
Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·João R Medeiros, Sílvio M Duarte Queirós
Feb 13, 2016·Physical Review. E·Welles A M Morgado, Sílvio M Duarte Queirós
Oct 16, 2016·Physical Review. E·Tomohiko G SanoHisao Hayakawa
Jan 20, 2018·Physical Review. E·Michael M CândidoSílvio M Duarte Queirós
Mar 20, 2020·Nature·Kiyoshi KanazawaAdrian Baule
Aug 31, 2016·Physical Review. E·Étienne FodorFrédéric van Wijland
Feb 6, 2020·Chaos·Karol CapałaEwa Gudowska-Nowak
Aug 31, 2018·Entropy·Łukasz KuśmierzEwa Gudowska-Nowak
Mar 20, 2021·Physical Review. E·Jackes MartinsWelles A M Morgado

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