The Shape of the Emerging Condensate in Effective Models of Condensation
The Shape of the Emerging Condensate in Effective Models of Condensation
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DOI：
10.1007/s00023-018-0673-7
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发表时间：
2017-11
期刊：
影响因子：
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通讯作者：
V. Betz;S. Dereich;Peter Mörters
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文献类型：
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作者：
V. Betz;S. Dereich;Peter Mörters
我们认为有效的冷凝模型，冷凝发生的时间是无穷大。我们提供了自然条件下，冷凝物的积累发生在1 /t的空间尺度上，并具有伽马密度的普遍形式。该密度的指数参数仅由方程和凝聚体的总质量确定，而幂律参数可能还取决于凝聚点附近初始条件的衰减性质。我们应用我们的结果的一些例子，包括简单的模型玻色-爱因斯坦凝聚。
We consider effective models of condensation where the condensation occurs as timetgoes to infinity. We provide natural conditions under which the buildup of the condensate occurs on a spatial scale of 1 /tand has the universal form of a Gamma density. The exponential parameter of this density is determined only by the equation and the total mass of the condensate, while the power law parameter may in addition depend on the decay properties of the initial condition near the condensation point. We apply our results to some examples, including simple models of Bose–Einstein condensation.