arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1209.0445cond-mat.stat-mechphysics.plasm-ph
收藏

对“最大或最小熵产生?如何为耗散流体或等离子体选择必要的稳定性判据”

Comments on "Maximum or minimum entropy production ? How to select a necessary criterion of stability for a dissipative fluid or plasma"

Giorgio Sonnino, Mustapha Tlidi, Jarah Evslin

摘要:

在最近的论文Phys. Rev E 81,041137(2010)中,作者试图导出耗散流体和等离子体稳定性的十个必要条件。假设局部平衡原理是有效的,这些判据仅由热力学第一和第二热力学定律得到。Onsager互惠关系没有被调用,作者的结果应该是有效的,独立的边界条件的选择。本文与Glansdorff-Prigogine在1954年和1970年建立的一般理论相一致,证明了当系统在Onsager区域外时,不存在表达对流耗散系统稳定性必要条件的变分原理。特别是,我们将证明,基本方程构成的出发点的分析,作者试图推导出十个必要条件的稳定性,涉及磁流体力学效应,是不正确的,在矛盾的法律热力学的不可逆过程。

英文摘要:

In a recent paper, Phys. Rev E 81, 041137 (2010), the author attempts to derive ten necessary conditions for stability of dissipative fluids and plasmas. Assuming the validity of the local equilibrium principle, these criteria have been obtained solely from the first and the second laws of thermodynamics. The Onsager reciprocity relations have not been invoked and author's results are supposed to be valid independently of the choice of the boundary conditions. In the present paper, in agreement with the general theory established by Glansdorff-Prigogine in 1954 and 1970, we shall show that there is no variational principle expressing the necessary conditions for stability of dissipative systems involving convective effects when the system is out of the Onsager region. In particular, we shall prove that the basic equations constituting the starting point of the analysis of the author, attempting to derive ten necessary conditions for the stability involving magneto-hydrodynamical effects, are incorrect and in contradiction with the laws of the thermodynamics of irreversible processes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑