L. Restuccia†
Abstract: 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.
MSC: 74A15, 74A20, 74E10, 74F05.
keywords: iontinuum thermodynamics, non-equilibrium thermodynamics, magnetizable media with relaxation, internal variables.
DOI 10.56082/annalsarscimath.2023.1-2.119
†lrestuccia@unime.it University of Messina, Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences , Viale F. Stagno d’Alcontres, Salita Sperone, 31, 98166 Messina, Italy
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 15 no 1-2, 2023
