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摘要翻译：
在$Rho6$模型近似下，导出了均匀外场中三维类伊辛系统临界点附近自由能的解析方法。对温度$T>T_C$($T_C$是无外场时的相变温度）提出的数学描述对$\tilde H_C$附近的场是有效的，其中标度变量为单位量级，该变量中的幂级数无效。在极限场$\tilde H_c$处，临界点附近的温度和场对系统的影响是等效的。在标度变量中不使用级数展开，得到了总自由能与温度、场和系统微观参数的函数关系。在自由能表达式中，除了引出项外，还包括了决定温度和场汇流修正的项。
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英文标题：
《Three-Dimensional Ising-Like System in an External Field: Microscopic
Calculation of the Free Energy in the Higher Non-Gaussian Approximation》
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作者：
I.V. Pylyuk
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
An analytic method for deriving the free energy of a three-dimensional Ising-like system near the critical point in a homogeneous external field is developed in the $\rho^6$ model approximation. The mathematical description proposed for temperatures $T>T_c$ ($T_c$ is the phase-transition temperature in the absence of an external field) is valid for fields near $\tilde h_c$, where the scaling variable is of the order of unity and power series in this variable are not effective. At the limiting field $\tilde h_c$, the temperature and field effects on the system in the vicinity of the critical point are equivalent. The total free energy is obtained as a function of temperature, field and microscopic parameters of the system without using series expansions in the scaling variable. In addition to leading terms, the expression for the free energy includes the terms determining the temperature and field confluent corrections.
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PDF链接：
https://arxiv.org/pdf/711.3156
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