“…Variable temperature gives additional eects similar to eects in continuum with internal rotation [3]. In particular, thermomagnetic eect and thermomagnetic waves are possible.…”
Section: When Excitation Energy Dissipates (Amplitude Decreases)mentioning
confidence: 91%
“…Coupled waves of an electromagnetic (EM) eld and magnetization are similar to sound waves in the continuum with spins [3]. Interaction of the vector potential (impulse) and magnetic moment vector (spin) elds represents a real model for the eld theory.…”
On the basis of locally non-equilibrium thermodynamics the equation for dynamics of the magnetic moment vector is derived. For a magneto disordered continuum the spectrum of locally non-equilibrium uctuations is determined. It is shown that the spectrum is composed of electromagnetic-spin branches, which contain energy gaps and spin-electromagnetic ones which do not. Unstable modes in diamagnets are found. The dispersion relation and frequency dependence of the damping coecient are determined for coupled waves of the magnetic vector potential and magnetization. It is shown that there exist frequency regions of transmission and non-transmission. Frequencies of the undamped waves and constant-phase damped waves can be located in these regions.
“…Variable temperature gives additional eects similar to eects in continuum with internal rotation [3]. In particular, thermomagnetic eect and thermomagnetic waves are possible.…”
Section: When Excitation Energy Dissipates (Amplitude Decreases)mentioning
confidence: 91%
“…Coupled waves of an electromagnetic (EM) eld and magnetization are similar to sound waves in the continuum with spins [3]. Interaction of the vector potential (impulse) and magnetic moment vector (spin) elds represents a real model for the eld theory.…”
On the basis of locally non-equilibrium thermodynamics the equation for dynamics of the magnetic moment vector is derived. For a magneto disordered continuum the spectrum of locally non-equilibrium uctuations is determined. It is shown that the spectrum is composed of electromagnetic-spin branches, which contain energy gaps and spin-electromagnetic ones which do not. Unstable modes in diamagnets are found. The dispersion relation and frequency dependence of the damping coecient are determined for coupled waves of the magnetic vector potential and magnetization. It is shown that there exist frequency regions of transmission and non-transmission. Frequencies of the undamped waves and constant-phase damped waves can be located in these regions.
“…From Eqs. (9) it is clear that unbound longitudinal waves M are described by the dispersion relation…”
Section: Coupled Waves Of the Magnetic Vector Potential And Magnetizamentioning
confidence: 99%
“…In the general case, the solutions q 2 n (21) are expressed in terms of the square roots of the cubic equation (the resolvent of the original equation). The polarization of the waves is determined by (9), in which the wave numbers q 2 n . The real and imaginary parts of the wave number…”
Section: Propagation Of Waves In Locally Non-equilibrium Continuum Wimentioning
confidence: 99%
“…In Refs. [5,6] the equation of magnetization motion was obtained on the basis of locally non-equilibrium thermodynamics [7,8] by analogy with hydrodynamics [9]. In the last equation, the surface and bulk moments of forces that are not local in time and space are taken into account.…”
In the framework of locally non-equilibrium thermodynamics, the equation of motion of the vector of the magnetic moment in a continuum with spatial dispersion is written. The spectrum of locally non-equilibrium fluctuations of the electromagnetic field and magnetization in a magnetically disordered continuum is determined. It is shown that the dispersion dependences of the fluctuations have energy and impulse gaps. Unstable modes in the diamagnetic state are observed for long relaxation times and weak spatial dispersion. Stationary amplitudes of the modes in the instability region are determined. It is shown that the transition to a locally non-equilibrium state can be regarded as a phase transition. In a new phase, there are damped (normal) and undamped excitations. It is shown that stationary standing modes exist in a limited non-equilibrium medium. The propagation of waves in a locally non-equilibrium continuum with spatial dispersion is considered. It is shown that there are regions of transmission and non-transmission in which there may be frequencies of transparency and opacity.
The motion equation for magnetization in locally non-equilibrium media is derived. It is shown that in non-ordered media locally non-equilibrium excitations have peculiarities. There exist coupled waves of the magnetization and magnetic vector potential. Dispersion relation of the waves have frequencies corresponding to undamped waves or constant-phase damped waves and frequencies corresponding to change of real and imaginary parts of the wave number relation. Spectrum of the non-equilibrium fluctuations exhibits some pair of spin-electromagnetic modes without energy gap and electromagnetic-spin modes with energy gap branches.
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