From wires to cosmology
From wires to cosmology
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DOI：
10.1088/1475-7516/2016/02/045
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发表时间：
2016-02-01
影响因子：
6.4
通讯作者：
Baumann, Daniel
中科院分区：
文献类型：
--
作者：
Amin, Mustafa A.;Baumann, Daniel
我们提供了一个统计框架，通过精确对应于含杂质导线中的电流传导，来表征早期宇宙中随机粒子的产生。我们的方法在微物理不确定和动力学复杂的情况下特别有用，但只有粗粒度的信息才有意义。我们研究了具有多个相互作用场的情况，并从Fokker-Planck方程推导了粒子占据数的演化。在后期，典型的职业数呈指数增长，这与无序电线的安德森定位相似。职业编号的一些统计特征在大量相互作用和/或大量领域的限制中显示出普遍性的暗示。对于测试用例，我们的分析结果与数值模拟结果非常吻合。
We provide a statistical framework for characterizing stochastic particle production in the early universe via a precise correspondence to current conduction in wires with impurities. Our approach is particularly useful when the microphysics is uncertain and the dynamics are complex, but only coarse-grained information is of interest. We study scenarios with multiple interacting fields and derive the evolution of the particle occupation numbers from a Fokker-Planck equation. At late times, the typical occupation numbers grow exponentially which is the analog of Anderson localization for disordered wires. Some statistical features of the occupation numbers show hints of universality in the limit of a large number of interactions and/or a large number of fields. For test cases, excellent agreement is found between our analytic results and numerical simulations.