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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
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 between the sample points and on the stability index, , 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 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 在样本点和稳定性指数之间, , Lévy 噪声。太阳耀斑数据显示了如何使用信号的时间反转不对称参数来获得 的潜在噪音。
更新日期:2021-07-15
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 在样本点和稳定性指数之间, , Lévy 噪声。太阳耀斑数据显示了如何使用信号的时间反转不对称参数来获得 的潜在噪音。