Minimal model of stochastic athermal systems: Origin of non-gaussian noise

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

Research output: Contribution to journalArticlepeer-review

51 Citations (Scopus)


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.

Original languageEnglish
Article number090601
JournalPhysical review letters
Issue number9
Publication statusPublished - 2015 Mar 3
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy


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