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摘要翻译：
我们数值模拟了具有分层亚稳态的能量场中的热化过程。初始配置选择具有较大的能量过剩，相对于运行温度下的热平衡值。我们表明，初始能量过剩在一系列间歇性爆发或地震中耗散，其速率随系统年龄的倒数而减小。此外，还观察到零中心高斯分布的能量涨落。这些性质属于一个亚稳态中的伪平衡动力学，不影响能量耗散。热能对时间对数的导数是渐近常数，它包括与温度无关的部分和与Arrhenius温度相关的部分。这些发现与最近在微观玻璃模型中获得的数值模拟结果非常相似。对于这些模型，在低温热化过程中，创纪录大小的能量波动被认为是触发间歇性事件的原因。在目前的模型中，记录大小的涨落需要结构来触发从一个亚稳态到另一个亚稳态的变化。这一性质足以解释复杂亚稳态系统中间歇能流的统计性质。
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英文标题：
《Intermittent relaxation in hierarchical energy landscapes》
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作者：
Andreas Fischer, Paolo Sibani and Karl Heinz Hoffmann
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We numerically simulate a thermalization process in an energy landscape with hierarchically organized metastable states. The initial configuration is chosen to have a large energy excess, relative to the thermal equilibrium value at the running temperature. We show that the initial energy surplus is dissipated in a series of intermittent bursts, or quakes, whose rate decreases as the inverse of the age of the system. In addition, one observes energy fluctuations with a zero centered Gaussian distribution. These pertain to the pseudo equilibrium dynamics within a single metastable state, and do not contribute to the energy dissipation. The derivative of the thermal energy with respect to the logarithm of time is asymptotically constant, and comprises a temperature independent part, and a part with an Arrhenius temperature dependence. The findings closely mirror recent numerical simulation results obtained for microscopic glassy models. For these models, record-sized energy fluctuations have been claimed to trigger intermittent events during low temperature thermalization. In the present model record-sized fluctuations are by construction needed to trigger changes from one metastable state to another. This property thus suffices to explain the statistical property of intermittent energy flow in complex metastable systems.
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PDF链接：
https://arxiv.org/pdf/709.3585
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