Breaking of time-reversal symmetry for a particle in a parabolic potential that is subjected to Lévy noise: Theory and an application to solar flare data,Physical Review E

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Breaking of time-reversal symmetry for a particle in a parabolic potential that is subjected to Lévy noise: Theory and an application to solar flare data
Physical Review E ( IF 2.2 ) Pub Date : 2021-07-15 , DOI: 10.1103/physreve.104.014119
Steven Yuvan ₁ , Martin Bier _{1,

2}

Affiliation

The noise in nonequilibrium systems commonly contains more outliers as compared to equilibrium systems and is often best described with a Lévy distribution. Many systems in which there are fluctuations around a steady-state throughput can be modeled as a Lévy-noise-subjected particle in a parabolic potential. We consider an overdamped particle in a parabolic potential that is subjected to noise. Microscopic reversibility and time-reversal symmetry apply if the particle is subject to Gaussian distributed noise, but are violated if the noise is Lévy. A parameter to detect this violation is formulated. We, furthermore, develop an understanding for how the time-reversal asymmetry depends on the time

Δ t

between the sample points and on the stability index,

α

, of the Lévy noise. With solar flare data it is shown how the time-reversal asymmetry parameter of a signal can be used to obtain the

α

of the underlying noise.

中文翻译：

受 Lévy 噪声影响的抛物线势粒子的时间反演对称性破缺：理论和在太阳耀斑数据中的应用

与平衡系统相比，非平衡系统中的噪声通常包含更多的异常值，通常最好用 Lévy 分布来描述。许多在稳态吞吐量周围存在波动的系统可以建模为抛物线势中的 Lévy-noise-subjected 粒子。我们考虑受噪声影响的抛物线势中的过阻尼粒子。如果粒子受高斯分布噪声影响，则适用微观可逆性和时间反演对称性，但如果噪声是 Lévy，则会违反。制定了检测这种违规的参数。此外，我们对时间反转不对称性如何取决于时间有了理解