TY - JOUR
T1 - Minimal model of stochastic athermal systems
T2 - Origin of non-gaussian noise
AU - Kanazawa, Kiyoshi
AU - Sano, Tomohiko G.
AU - Sagawa, Takahiro
AU - Hayakawa, Hisao
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/3/3
Y1 - 2015/3/3
N2 - 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.
AB - 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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U2 - 10.1103/PhysRevLett.114.090601
DO - 10.1103/PhysRevLett.114.090601
M3 - Article
AN - SCOPUS:84924352856
VL - 114
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 9
M1 - 090601
ER -