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arXiv 1207.4075cond-mat.mes-hallcond-mat.other
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涡旋动力学:量子与经典机制

Vortex Dynamics: Quantum versus Classical Regimes

L. Thompson, P. C. E. Stamp

摘要:

多年来,经典的Hall-Vinen-Iordanski(HVI)方程一直被用来分析超流体中的涡旋动力学。在这里,我们讨论的扩展理论的涡旋动力学的量子制度,其中的特征涡旋频率高于温度。同时,在低频经典区域,我们证明了在HVI方程中加入惯性质量项和噪声涨落项的合理性,讨论了到量子区域的过渡,给出了涡旋动力学的直观图象,一般用两个方程来描述(一个用于涡旋坐标,一个用于其量子涨落);我们还讨论了在极端量子区域中发现的简单的运动方程。

英文摘要:

For many years the classical Hall-Vinen-Iordanski (HVI) equation has been used to analyse vortex dynamics in superfluids. Here we discuss the extension of the theory of vortex dynamics to the quantum regime, in which the characteristic vortex frequency is higher than the temperature. At the same time we justify, in the low-frequency classical regime, the use of the HVI equation, provided an inertial mass term and a noise fluctuation term are added to it. The crossover to the quantum regime is discussed, and an intuitive picture is given of the vortex dynamics, which in general is described by 2 equations (one for the vortex coordinate, and one for its quantum fluctuations); we also discuss the simple equation of motion found in the extreme quantum regime.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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