Fröhlich凝聚理论的半经典统计方法
Semi-classical statistical approach to Fröhlich condensation theory
摘要：
在半经典非平衡统计背景下重新研究了描述生物相关开放系统中声子凝聚的Fröhlich模型方程（“半经典”意味着系统的演化是通过经典方程加上能量量子化来描述的）。特别是，假设是必要的推导Fröhlich速率方程突出显示，我们展示了这些假设如何使我们写一个适当的形式的主方程。作为与已知的以前的结果的比较，与吴-奥斯汀量子哈密顿描述的分析关系被强调。最后，我们将展示如何解决方案的主方程可以实现数值和概述一些有代表性的结果的冷凝效果。因此，我们的方法提供了更多的信息，相对于现有的，在我们所关心的时间演化的概率密度函数，而不是以下的平均量。
英文摘要：
Fröhlich model equations describing phonon condensation in open systems of biological relevance are here reinvestigated in a semi-classical non-equilibrium statistical context (with "semi-classical" it is meant that the evolution of the system is described by means of classical equations with the addition of energy quantization). In particular, the assumptions that are necessary to deduce Fröhlich rate equations are highlighted and we show how these hypotheses led us to write an appropriate form for the master equation. As a comparison with known previous results, analytical relations with the Wu-Austin quantum Hamiltonian description are emphasized. Finally, we show how solutions of the master equation can be implemented numerically and outline some representative results of the condensation effect. Our approach thus provides more information with respect to the existing ones, in what we are concerned with the time evolution of the probability density functions instead of following average quantities.
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