论文标题
在准周期鉴定的经典液体中的热casimir效应
Thermal Casimir effect in a classical liquid in a quasi-periodically identified conical spacetime
论文作者
论文摘要
在本文中，我们研究了由有效的锥形时空拓扑以及准周期边界条件引起的经典液体的有限温度量子波动。锥形时空可以是披露或宇宙弦。在这种情况下，我们考虑一个代表液体密度的量子激发的声子场，该音段遵守有效的klein-gordon方程，其声速被光速取代。我们获得了热hadamard功能的封闭分析表达式，因此，液体的重新分配平方密度波动以及热力学量（例如内部能量，自由能，总能量和熵密度）。我们还讨论了限制案例，包括低温和高温方案，以及仅存在锥形时空或准周期性的情况。
In this paper, we study the finite-temperature quantum fluctuation of a classical liquid induced by the topology of an effective conical spacetime, as well as by a quasi-periodic boundary condition. The conical spacetime could be either a disclination or a cosmic string. In this context, we consider a phonon field representing quantum excitations of the liquid density, which obeys an effective Klein- Gordon equation with the sound velocity replaced by the light velocity. We obtain closed analytic expressions for the thermal Hadamard function, and consequently, the renormalized mean square density fluctuation of the liquid along with thermodynamics quantities such as internal energy, free energy, total energy, and entropy densities. We also discuss the limiting cases, including low and high-temperature regimes, and the situations in which there are only either the conical spacetime or quasi-periodicity.
