Pronounced minimum of the thermodynamic Casimir forces of O(n) symmetric film systems: analytic theory.
Pronounced minimum of the thermodynamic Casimir forces of O(n) symmetric film systems: analytic theory.
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O(n) 对称薄膜系统的热力学卡西米尔力的明显最小值：解析理论。
DOI：
10.1103/physreve.90.030101
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
V. Dohm
中科院分区：
文献类型：
--
作者：
V. Dohm
在体临界条件下，研究了具有Dirichlet边界条件的O（n）普适类薄膜系统的热力学Casimir力. Garcia和Chan [Phys. Rev. Lett.]在解决长期存在的问题方面取得了实质性进展，该问题是通过分析描述在^{4}He膜（n=2）中实验观察到的标度函数的显著最小值。83，1187（1999）]和O. Vasilyev等人（Europhys）Lett. 80，60009（2007）]。我们的有限尺寸重整化群方法描述的薄膜系统的限制有限板系统消失的纵横比。这产生了极好的协议的深度和位置的最小值为n=1和半定量协议的最小值为n=2。我们的理论还预测了n=3海森堡普适性类的一个明显的最小值。
Thermodynamic Casimir forces of film systems in the O(n) universality classes with Dirichlet boundary conditions are studied below bulk criticality. Substantial progress is achieved in resolving the long-standing problem of describing analytically the pronounced minimum of the scaling function observed experimentally in ^{4}He films (n=2) by Garcia and Chan [Phys. Rev. Lett. 83, 1187 (1999)] and in Monte Carlo simulations for the three-dimensional Ising model (n=1) by O. Vasilyev et al. [Europhys. Lett. 80, 60009 (2007)]. Our finite-size renormalization-group approach describes the film systems as the limit of finite-slab systems with vanishing aspect ratio. This yields excellent agreement with the depth and the position of the minimum for n=1 and semiquantitative agreement with the minimum for n=2. Our theory also predicts a pronounced minimum for the n=3 Heisenberg universality class.