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Title: Minimal Model of Stochastic Athermal Systems: Origin of Non-Gaussian Noise
Authors: Kanazawa, Kiyoshi
Sano, Tomohiko G.
Sagawa, Takahiro
Hayakawa, Hisao  kyouindb  KAKEN_id
Author's alias: 金澤, 輝代士
Issue Date: 3-Mar-2015
Publisher: American Physical Society
Journal title: Physical Review Letters
Volume: 114
Issue: 9
Thesis number: 090601
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.
Rights: © 2015 American Physical Society
DOI(Published Version): 10.1103/PhysRevLett.114.090601
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