The thermodynamic Casimir effect in the neighbourhood of the λ-transition: a Monte Carlo study of an improved three-dimensional lattice model
The thermodynamic Casimir effect in the neighbourhood of the λ-transition: a Monte Carlo study of an improved three-dimensional lattice model
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λ 跃迁附近的热力学卡西米尔效应：改进的三维晶格模型的蒙特卡罗研究
DOI：
10.1088/1742-5468/2009/07/p07031
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
M. Hasenbusch
中科院分区：
文献类型：
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作者：
M. Hasenbusch
研究了薄膜在三维XY普适类中的热力学卡西米尔效应。为此，我们在简单立方晶格上模拟了改进的双分量模型。我们使用厚度为L0 = 33的格子。在蒙特卡罗模拟结果的基础上，我们计算了表征热力学卡西米尔力在临界点附近的行为的通用有限尺度函数θ。我们证实，由于自由边界条件导致的通用有限尺寸缩放行为的导致修正可以用有效厚度L0表示，eff = L0+Ls, Ls = 1.02(7)。我们的结果与在λ跃迁附近的4He薄膜上的实验、以前在简单立方晶格上的XY模型的蒙特卡罗模拟和场论结果进行了比较。有限尺度函数θ的计算结果与4He薄膜上的实验和之前的蒙特卡罗模拟基本一致。
We study the thermodynamic Casimir effect in thin films in the three-dimensional XY universality class. To this end, we simulate the improved two-component ϕ4 model on the simple cubic lattice. We use lattices up to the thickness L0 = 33. On the basis of the results of our Monte Carlo simulations we compute the universal finite size scaling function θ that characterizes the behaviour of the thermodynamic Casimir force in the neighbourhood of the critical point. We confirm that leading corrections to the universal finite size scaling behaviour due to free boundary conditions can be expressed using an effective thickness L0,eff = L0+Ls, with Ls = 1.02(7). Our results are compared with experiments on films of 4He near the λ-transition, previous Monte Carlo simulations of the XY model on the simple cubic lattice and field-theoretic results. Our result for the finite size scaling function θ is essentially consistent with the experiments on films of 4He and the previous Monte Carlo simulations.