基于最小熵产生定理和MaxEnt原理的磁约束等离子体的参考分布函数
Reference Distribution Functions for Magnetically Confined Plasmas from the Minimum Entropy Production Theorem and the MaxEnt Principle, subject to the Scale-Invariant Restrictions
摘要：
导出了远离热力学平衡的磁约束等离子体的参考分布函数的表达式。局部平衡态是通过施加最小熵产生定理和最大熵（MaxEnt）原则，受尺度不变性的限制。在短时间之后，等离子体达到接近局部平衡的状态。此状态称为参考状态。本文的目的是确定当局部平衡态由上述原理确定时的参考分布函数。我们证明了RDF是一个通用的家庭的随机过程对应的一个普遍的Landau型方程与白参数噪声的平稳解决方案。作为应用的一个例子，我们考虑一个简单的，完全电离，磁约束等离子体，辅助欧姆加热。自由参数与磁约束等离子体的输运系数联系在一起。
英文摘要：
We derive the expression of the reference distribution function for magnetically confined plasmas far from the thermodynamic equilibrium. The local equilibrium state is fixed by imposing the minimum entropy production theorem and the maximum entropy (MaxEnt) principle, subject to scale invariance restrictions. After a short time, the plasma reaches a state close to the local equilibrium. This state is referred to as the reference state. The aim of this letter is to determine the reference distribution function (RDF) when the local equilibrium state is defined by the above mentioned principles. We prove that the RDF is the stationary solution of a generic family of stochastic processes corresponding to an universal Landau-type equation with white parametric noise. As an example of application, we consider a simple, fully ionized, magnetically confined plasmas, with auxiliary Ohmic heating. The free parameters are linked to the transport coefficients of the magnetically confined plasmas, by the kinetic theory.
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