罗宾汉模型中的 1/fα 噪音

IF 2.2 3区物理与天体物理 Q2 MECHANICS

Journal of Statistical Mechanics: Theory and Experiment Pub Date : 2024-09-09 DOI:10.1088/1742-5468/ad72d9

Abha Singh, Rahul Chhimpa, Avinash Chand Yadav

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引用次数: 0

摘要

我们考虑的是罗宾汉动力学，这是一个描述低温蠕变现象的一维极端自组织临界模型。其中一个关键量是状态变量（力噪声）的时间演化。为了理解时间相关性，我们计算了局部力波动的功率谱，并应用有限大小缩放得到缩放函数和临界指数。我们发现了局部力的 1/fα 噪声特征，其频谱指数为 0<α<2。我们还研究了极点位置的时间波动和局部活动信号。我们给出了该模型不同局部相互作用规则的结果。

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1/fα noise in the Robin Hood model

We consider the Robin Hood dynamics, a one-dimensional extremal self-organized critical model that describes the low-temperature creep phenomenon. One of the key quantities is the time evolution of the state variable (force noise). To understand the temporal correlations, we compute the power spectra of the local force fluctuations and apply finite-size scaling to get scaling functions and critical exponents. We find a signature of the

1/fα

noise for the local force with a nontrivial value of the spectral exponent

0<α<2

. We also examine temporal fluctuations in the position of the extremal site and a local activity signal. We present results for different local interaction rules of the model.

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来源期刊

Journal of Statistical Mechanics: Theory and Experiment 物理-力学

CiteScore

4.50

自引率

12.50%

发文量

210

审稿时长

1.0 months

期刊介绍： JSTAT is targeted to a broad community interested in different aspects of statistical physics, which are roughly defined by the fields represented in the conferences called ''Statistical Physics''. Submissions from experimentalists working on all the topics which have some ''connection to statistical physics are also strongly encouraged. The journal covers different topics which correspond to the following keyword sections. 1. Quantum statistical physics, condensed matter, integrable systems Scientific Directors: Eduardo Fradkin and Giuseppe Mussardo 2. Classical statistical mechanics, equilibrium and non-equilibrium Scientific Directors: David Mukamel, Matteo Marsili and Giuseppe Mussardo 3. Disordered systems, classical and quantum Scientific Directors: Eduardo Fradkin and Riccardo Zecchina 4. Interdisciplinary statistical mechanics Scientific Directors: Matteo Marsili and Riccardo Zecchina 5. Biological modelling and information Scientific Directors: Matteo Marsili, William Bialek and Riccardo Zecchina