低温技术方法论：超导体中朗之万力的数学分析
To the methodology of low temperature technologies: mathematical analysis of Langevin forces in superconductor
摘要：
在唯象的Ginzburg-Landau（GL）理论框架下研究朗之万力。在描述超导体在临界温度以上输运性质的含时Ginzburg-Landau（TDGL）方程中引入了涨落作用的随机力。我们假设涨落库珀对能谱和朗之万力可能值谱之间存在着深刻的联系。在这个假设的基础上进行的研究中，我们得到了朗之万力的解析表达式，它是用序参量来定义的，即，利用涨落库珀对波函数，分析了朗之万力的性质。对它们的复杂性进行了总结。对朗之万力进行了渐近分析。
英文摘要：
Langevin forces are investigated in the framework of the phenomenological Ginzburg-Landau (GL) theory. These stochastic forces introducted in the time-dependent Ginzburg-Landau (TDGL) equation describing the superconductor transport properties above the critical temperature model the fluctuations action. We assume that there exists a profound connection between the fluctuation Cooper pair energy spectrum and the Langevin forces possible values spectrum. In investigation carried out on the basis of that hypothesis we obtain the analytical expression for Langevin forces defining them by means of order parameter, i.e., by means of the fluctuation Cooper pair wave function. Langevin forces properties are analyzed. The conlusion about their complex nature is done. Asymptotic analysis of Langevin forces is performed.
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