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Kanazawa K, Sano TG, Sagawa T, et al. Minimal model of stochastic athermal systems: origin of non-Gaussian noise. Phys Rev Lett. 2015;114(9):090601doi: 10.1103/PhysRevLett.114.090601.
Kanazawa, K., Sano, T. G., Sagawa, T., & Hayakawa, H. (2015). Minimal model of stochastic athermal systems: origin of non-Gaussian noise. Physical review letters, 114(9), 090601. https://doi.org/10.1103/PhysRevLett.114.090601
Kanazawa, Kiyoshi, et al. "Minimal model of stochastic athermal systems: origin of non-Gaussian noise." Physical review letters vol. 114,9 (2015): 090601. doi: https://doi.org/10.1103/PhysRevLett.114.090601
Kanazawa K, Sano TG, Sagawa T, Hayakawa H. Minimal model of stochastic athermal systems: origin of non-Gaussian noise. Phys Rev Lett. 2015 Mar 06;114(9):090601. doi: 10.1103/PhysRevLett.114.090601. Epub 2015 Mar 03. PMID: 25793791.
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Phys Rev Lett. 2015 Mar 06;114(9):090601. doi: 10.1103/PhysRevLett.114.090601. Epub 2015 Mar 03.

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

Physical review letters

Kiyoshi Kanazawa, Tomohiko G Sano, Takahiro Sagawa, Hisao Hayakawa

Affiliations

  1. Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa-oiwake cho, Sakyo-ku, Kyoto 606-8502, Japan.
  2. Department of Basic Science, The University of Tokyo, Komaba, Meguro-ku 153-8902, Japan.

PMID: 25793791 DOI: 10.1103/PhysRevLett.114.090601

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.

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