In some previous papers, within the framework of the thermodynamics of irreversible processes with internal variables, a linear theory for magnetic relaxation phenomena in anisotropic mixtures, consisting of n reacting fluid components, was developed. In particular, assuming that the microscopic magnetization m can be split in two irreversible parts m=m^{(0)} + m^{(1)} a generalized Snoek equation was derived. In this paper we derive for these reacting anisotropic mixtures the heat conduction equation. We show that the heat dissipation function is due to the chemical reactions, the magnetic relaxation, the electric conduction, the viscous, magnetic, temperature fields and the diffusion and the concentrations of the n fluid components. The obtained results find applications in nuclear resonance, in biology, in medicine and other fields, where different species of molecules have different magnetic susceptibilities and relaxation times and contribute to the total magnetization.

On a thermodynamic theory for magnetic relaxation phenomena in reacting mixtures with n fluid components. The magnetic relaxation equation and the heat conduction equation.

Arcangelo Labianca
;
Lidia Palese;
2024-01-01

Abstract

In some previous papers, within the framework of the thermodynamics of irreversible processes with internal variables, a linear theory for magnetic relaxation phenomena in anisotropic mixtures, consisting of n reacting fluid components, was developed. In particular, assuming that the microscopic magnetization m can be split in two irreversible parts m=m^{(0)} + m^{(1)} a generalized Snoek equation was derived. In this paper we derive for these reacting anisotropic mixtures the heat conduction equation. We show that the heat dissipation function is due to the chemical reactions, the magnetic relaxation, the electric conduction, the viscous, magnetic, temperature fields and the diffusion and the concentrations of the n fluid components. The obtained results find applications in nuclear resonance, in biology, in medicine and other fields, where different species of molecules have different magnetic susceptibilities and relaxation times and contribute to the total magnetization.
2024
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/496900
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