Minimal Model of Stochastic Athermal Systems: Origin of Non-Gaussian Noise
Minimal Model of Stochastic Athermal Systems: Origin of Non-Gaussian Noise
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DOI：
10.1103/physrevlett.114.090601
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发表时间：
2015-03-03
影响因子：
8.6
通讯作者：
Hayakawa, Hisao
中科院分区：
文献类型：
--
作者：
Kanazawa, Kiyoshi;Sano, Tomohiko G.;Hayakawa, Hisao
对于一类广泛的随机非热系统，我们推导出由非高斯噪声驱动的类Langevin方程，从主方程出发，发展了一个新的渐近展开式。我们发现了一个明确的条件，使非高斯性质的非热噪声成为主导的示踪剂粒子与热和非热环境。此外，我们推导出一个逆公式推断的微观性质的非热浴的统计示踪粒子。我们应用我们的配方下的粘性摩擦颗粒电机和解析获得的角速度分布函数。我们的理论表明，非高斯Langevin方程是无热系统的最小模型。
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.