热化的大变动方法:具有保守噪声的谐波链案例

IF 2.2 3区 物理与天体物理 Q2 MECHANICS Journal of Statistical Mechanics: Theory and Experiment Pub Date : 2024-07-25 DOI:10.1088/1742-5468/ad6135
Stefano Lepri
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引用次数: 0

摘要

我们研究了通过大偏差方法描述不同热化途径的可能性。具体来说,我们考虑了能量和动量守恒噪声下的清洁、无序和准周期谐波链。对于描述法向模态能量动态的相关主方程,我们计算了相应偏置集合中的活动波动和动态熵。我们发现,一阶动力学相变源于作用空间中的不同活动区域。在相变过程中,偏态集合的稳态从扩展变为局部化,在正常模式空间中产生了一种凝结。对于无序模型和准周期模型,我们认为相图在无序或势能强度的有限值处有一个临界点。
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Large-deviations approach to thermalization: the case of harmonic chains with conservative noise
We investigate the possibility of characterizing the different thermalization pathways through a large-deviation approach. Specifically, we consider clean, disordered and quasi-periodic harmonic chains under energy and momentum-conserving noise. For their associated master equations, describing the dynamics of normal modes energies, we compute the fluctuations of activity and dynamical entropy in the corresponding biased ensembles. First-order dynamical phase transition are found that originates from different activity regions in action space. At the transitions, the steady-state in the biased ensembles changes from extended to localized, yielding a kind of condensation in normal-modes space. For the disordered and quasi-periodic models, we argue that the phase-diagram has a critical point at a finite value of the disorder or potential strength.
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来源期刊
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
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