Rudnick Joseph, Zandi Roya, Shackell Aviva, Abraham Douglas
Department of Physics and Astronomy, UCLA, P.O. Box 951547, Los Angeles, California 90095-1547, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Oct;82(4 Pt 1):041118. doi: 10.1103/PhysRevE.82.041118. Epub 2010 Oct 21.
Finite-size effects in certain critical systems can be understood as universal Casimir forces. Here, we compare the Casimir force for free, fixed, periodic, and antiperiodic boundary conditions in the exactly calculable case of the ferromagnetic Ising model in one and two dimensions. We employ a procedure which allows us to calculate the Casimir force with the aforementioned boundary conditions analytically in a transparent manner. Among other results, we find an attractive Casimir force for the case of periodic boundary conditions and a repulsive Casimir force in the antiperiodic case.
某些临界系统中的有限尺寸效应可被理解为普适的卡西米尔力。在此，我们在一维和二维铁磁伊辛模型这个可精确计算的情形中，比较自由、固定、周期和反周期边界条件下的卡西米尔力。我们采用一种方法，能让我们以一种清晰明了的方式解析计算上述边界条件下的卡西米尔力。在其他结果中，我们发现周期边界条件情形下存在吸引性的卡西米尔力，而反周期情形下存在排斥性的卡西米尔力。
