| 平行板受限下伊辛普适类临界卡西米尔力的一种计算方法 |
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| 作者姓名： | 陈东艳 苗兵 |
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| 作者单位： | 中国科学院大学材料科学与光电技术学院, 北京 100049 |
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| 基金项目： | 国家自然科学基金（21774131，21544007）资助 |
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| 摘 要： | 研究统计力学中伊辛普适类的临界卡西米尔力。针对临界点上平行板几何约束下的伊辛普适类，基于欧拉-麦克劳林求和法发展了一套计算临界卡西米尔力的有效方法。结果表明，在平行板几何约束下，伊辛普适类临界卡西米尔力表现为以标度指数为-3的方式随板间距离衰减的长程吸引力。
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| 关 键 词： | 临界卡西米尔力 伊辛普适类 平行板受限 欧拉-麦克劳林求和 |
| 收稿时间： | 2018-04-08 |
| 修稿时间： | 2018-04-27 |
An effective method for calculating the critical Casimir force between two parallel plates for the Ising universality class |
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| Authors: | CHEN Dongyan MIAO Bing |
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| Institution: | College of Materials Science and Opto-Electronic Technology, University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | Due to the constraints introduced by boundaries for the long range fluctuations in a massless field, a long-range fluctuation-induced effective force between boundaries is induced, and it is called the Casimir force. The classical Casimir force refers to the interaction between two conducting plates immersed in a vacuum, and it is originated from the quantum fluctuations of the electromagnetic field. In this work, we study the critical Casimir force for the Ising universality class in statistical mechanics. Specifically, we develop an effective method, namely, the Euler-Maclaurin summation method, to calculate the critical Casimir force between two parallel plates at the critical point of the Ising universality class. Our results demonstrate that, in this geometric set-up, the critical Casimir force behaves as a long-range attractive force with a scaling exponent of -3 with respect to the boundary distance. |
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| Keywords: | critical Casimir force Ising universality class parallel plates confinement Euler-Maclaurin summation |
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