各向异性介质中磁弛豫现象的散热函数

Q4 Mathematics
L. Restuccia
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引用次数: 0

摘要

利用经典不可逆内变量热力学方法,推导了存在磁弛豫现象的可磁化反各向同性介质的散热函数。假设如果不同类型的不可逆微观现象引起磁弛豫,则可以将这些微观现象分为两个不可逆部分,并将其中一个部分比磁化作为热力学状态空间中的内变量来描述。可见,当理论线性化时,散热函数是由于导电、磁松弛、粘滞、磁不可逆现象引起的。这是复杂介质的情况,不同种类的分子具有不同的磁化率和弛豫时间,呈现磁弛豫现象,并有助于总磁化强度。这些情况出现在核磁共振医学、生物学和其他应用科学领域。推导了各向异性Snoek介质和各向异性de - grot - mazur介质的热传导方程,并对各向异性Snoek介质和de - grot - mazur介质的特殊情况进行了分析。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
ON THE HEAT DISSIPATION FUNCTION FOR MAGNETIC RELAXATION PHENOMENA IN ANISOTROPIC MEDIA
Using the methods of classical irreversible thermodynamics with internal variables, the heat dissipation function for magnetizable ani­sotropic media, in which phenomena of magnetic relaxation occur, is derived. It is assumed that if different types of irreversible microscopic phenomena give rise to magnetic relaxation, it is possible to describe these microscopic phenomena splitting the total specific magnetization in two irreversible parts and introducing one of these partial specific magnetizations as internal variable in the thermodynamic state space. It is seen that, when the theory is linearized, the heat dissipation func­tion is due to the electric conduction, magnetic relaxation, viscous, magnetic irreversible phenomena. This is the case of complex media, where different kinds of molecules have different magnetic susceptibili­ties and relaxation times, present magnetic relaxation phenomena and contribute to the total magnetization. These situations arise in nuclear magnetic resonance in medicine and biology and in other fields of the applied sciences. Also, the heat conduction equation for these media is worked out and the special cases of anisotropic Snoek media and anisotropic De-Groot-Mazur media are treated.
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来源期刊
CiteScore
0.60
自引率
0.00%
发文量
0
审稿时长
25 weeks
期刊介绍: The journal Mathematics and Its Applications is part of the Annals of the Academy of Romanian Scientists (ARS), in which several series are published. Although the Academy is almost one century old, due to the historical conditions after WW2 in Eastern Europe, it is just starting with 2006 that the Annals are published. The Editor-in-Chief of the Annals is the President of ARS, Prof. Dr. V. Candea and Academician A.E. Sandulescu (†) is his deputy for this domain. Mathematics and Its Applications invites publication of contributed papers, short notes, survey articles and reviews, with a novel and correct content, in any area of mathematics and its applications. Short notes are published with priority on the recommendation of one of the members of the Editorial Board and should be 3-6 pages long. They may not include proofs, but supplementary materials supporting all the statements are required and will be archivated. The authors are encouraged to publish the extended version of the short note, elsewhere. All received articles will be submitted to a blind peer review process. Mathematics and Its Applications has an Open Access policy: all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author. No submission or processing fees are required. Targeted topics include : Ordinary and partial differential equations Optimization, optimal control and design Numerical Analysis and scientific computing Algebraic, topological and differential structures Probability and statistics Algebraic and differential geometry Mathematical modelling in mechanics and engineering sciences Mathematical economy and game theory Mathematical physics and applications.
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