Negativity of the Casimir Self-Entropy in Spherical Geometries.

Negativity of the Casimir Self-Entropy in Spherical Geometries.
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DOI:
10.3390/e23020214
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发表时间:
2021-02-10
期刊:
Entropy (Basel, Switzerland)
影响因子:
--
通讯作者:
Hong L
Hong L
中科院分区:
其他
文献类型:
--
作者:
Li Y;Milton KA;Parashar P;Hong L

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一段时间以来,人们已经认识到,即使对于完美导体,由于量子/热涨落,相互作用卡西米尔熵也可能为负。这个结果并没有被认为是有问题的,因为人们认为物体的自熵会抵消这种负的相互作用熵,产生一个正的总熵。事实上,这种取消似乎不会发生。一个完美导电球体的正自熵确实正好抵消了一个由完美导电球体和平板组成的系统的负相互作用熵,但是一个耦合较弱的模型通常具有一个出现负自熵的区域。这个令人惊讶的结果的物理意义仍然模糊不清。在本文中,我们重新审视这些问题,使用改进的物理和数学技术,部分基于阿贝尔-普拉纳公式,并提出了数值结果为任意温度和耦合,表现出相同的显着特点。
It has been recognized for some time that, even for perfect conductors, the interaction Casimir entropy, due to quantum/thermal fluctuations, can be negative. This result was not considered problematic because it was thought that the self-entropies of the bodies would cancel this negative interaction entropy, yielding a total entropy that was positive. In fact, this cancellation seems not to occur. The positive self-entropy of a perfectly conducting sphere does indeed just cancel the negative interaction entropy of a system consisting of a perfectly conducting sphere and plate, but a model with weaker coupling in general possesses a regime where negative self-entropy appears. The physical meaning of this surprising result remains obscure. In this paper, we re-examine these issues, using improved physical and mathematical techniques, partly based on the Abel–Plana formula, and present numerical results for arbitrary temperatures and couplings, which exhibit the same remarkable features.
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