论文标题
经典声子字段中的热点化：声子数量的缓慢放松
Pre-thermalization in a classical phonon field: slow relaxation of the number of phonons
论文作者
论文摘要
我们研究了一个古典声子领域中惊人的热前高原的出现，这里是一个带有现场固定的谐波链。具有强度$λ$的虚弱的非谐现场电位破坏了集成性。在小$λ$限制中，动力学理论描述了翻译不变初始状态的平衡方法。但是，当声子带来狭窄时，我们发现（未保守的）声子在时间尺度上比动力学更长的时间尺度放松。我们在放松时间上建立了严格的界限，并开发了一种理论，该理论可以在极限$λ\至0 $的情况下对耗散率产生精确的预测。我们将理论预测与分子动力学模拟的数据进行比较，并找到良好的一致性。我们的工作表明了古典系统如何表现出现象，乍一看似乎需要量化。
We investigate the emergence of an astonishingly long pre-thermal plateau in a classical phonon field, here a harmonic chain with on-site pinning. Integrability is broken by a weak anharmonic on-site potential with strength $λ$. In the small $λ$ limit, the approach to equilibrium of a translation invariant initial state is described by kinetic theory. However, when the phonon band becomes narrow, we find that the (non-conserved) number of phonons relaxes on much longer time scales than kinetic. We establish rigorous bounds on the relaxation time, and develop a theory that yields exact predictions for the dissipation rate in the limit $λ\to 0$. We compare the theoretical predictions with data from molecular dynamics simulations and find good agreement. Our work shows how classical systems may exhibit phenomena which at the first glance appear to require quantization.
