Quantum Effects at a Proton Relaxation at Low Temperatures

Kalytka, V. A.; Коровкин, Михаил Владимирович

doi:10.1007/s11182-016-0865-x

Cited by 10 publications

(43 citation statements)

References 4 publications

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“…Theoretical developments aimed at applying quantum kinetic theory of proton conductivity and polarization [7,[12][13][14][15][16]29,30] to questions and quantum theory of hightemperature superconductivity [43] are relevant.…”

Section: Scientific and Practical Significance Of The Study Resultsmentioning

confidence: 99%

“…Semi-empirical studies of migration of adsorbed protons on the surface of singlelayer carbonaceous nanotubes [44] are not complete, due to the lack of a strict theoretical justification: (1) the relationship between the configuration of the tube surface and the dominant physical mechanism of proton transfer (tunnel or thermally activated proton transfer through a potential barrier); (2) temperature dependence of the probability of tunnel crossings of protons; (3) the forms of potential relief and activation energy for protons. The methods of quantum kinetic theory, the foundations of which are laid by the authors [1,2], will allow, using the apparatus of the density matrix [12,13,15,16,26,27], to consider in more detail the quantum mechanism of the tunnel transfer of protons in nanoscale materials with high-proton conductivity at a stricter theoretical level.…”

Section: Scientific and Practical Significance Of The Study Resultsmentioning

confidence: 99%

“…This allows us, with a certain degree of accuracy, to judge the significant influence of the temperature range on the mechanism of the nonlinear relaxation processes when generating polarization of the dielectric in the wide range of field parameters. It is obvious that in the region of weak fields (0.1-1 MV/m) the non-linearities will appear due to low-temperature (10-50 K) polarization effects (quantum diffusion polarization), and in the region of strong fields (10-1000 MV/m) the non-linearities will appear due to high-temperature (550-1500 K) polarization effects (nonlinear bulk-charge polarization of the mixed type) [7,[12][13][14][15][16].…”

Section: Effect Of Temperature On Theoretical Spectra Of Complex Diel...mentioning

confidence: 99%

“…Another criterion of validity of formulae ( 8) and ( 25) of the nonlinear approximation of the perturbation theory investigated above is their ultimate transition to results of the linear kinetic theory of the relaxation polarization [7,[12][13][14][15][16]. To this end, we simplify the expression for the polarization (8).…”

Section: Effect Of Temperature On Theoretical Spectra Of Complex Diel...mentioning

confidence: 99%

“…by analogy with (8c), (8d), a transcendent equation generalized to the wide temperature range is constructed to determine the 𝑇 point of the phase transition of the crystal to the quasi-hydroelectric state12 × values of temperatures T and T cr,relax is established from the solution of Equation (…”

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Theoretical Studies of Nonlinear Relaxation Electrophysical Phenomena in Dielectrics with Ionic–Molecular Chemical Bonds in a Wide Range of Fields and Temperatures

et al. 2022

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This paper is devoted to the development of generalized (for a wide range of fields (100 kV/m–1000 MV/m) and temperatures (0–1500 K) in the radio frequency range (1 kHz–500 MHz)) methods for the theoretical investigation of the physical mechanism of nonlinear kinetic phenomena during the establishment of the relaxation polarization, due to the diffusion motion of the main charge carriers in dielectrics with ionic–molecular chemical bonds (hydrogen-bonded crystals (HBC), including layered silicates, crystalline hydrates and corundum–zirconium ceramics (CZC), etc.) in an electric field. The influence of the nonlinearities equations of the initial phenomenological model of dielectric relaxation (in HBC-proton relaxation) on the mechanism for the formation of volume–charge polarization in solid dielectrics is analyzed. The solutions for the nonlinear kinetic Fokker–Planck equation, together with the Poisson equation, for the model of blocked electrodes are built in an infinite approximation (including all orders k of smallness without dimensional parameters) of perturbation theory for an arbitrary order r of the frequency harmonic of an alternating external polarizing field. It has been established that the polarization nonlinearities in ion-molecular dielectrics, already detected at the fundamental frequency, are interpreted in the mathematical model (for the first time in this work) as interactions of the relaxation modes of the volume charge density calculated on different orders of spatial Fourier harmonics. At the fundamental frequency of the field, an analytical generalized expression is written for complex dielectric permittivity (CDP), which is expressed analytically in terms of special relaxation parameters, which are quite complex real functions in the fields of frequency and temperature. The theoretical CDP and the dielectric loss tangent spectra studied depend on the nature of the relaxation processes in the selected temperature range (Maxwell and diffusion relaxation; thermally activated and tunneling relaxation), which is relevant from the point of view of choosing exact calculation formulas when analyzing the optimal operating modes of functional elements (based on dielectrics and their composites) for circuits of instrumentation, radio engineering and power equipment in real industrial production.

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Section: Scientific and Practical Significance Of The Study Resultsmentioning

confidence: 99%

Section: Scientific and Practical Significance Of The Study Resultsmentioning

confidence: 99%

Section: Effect Of Temperature On Theoretical Spectra Of Complex Diel...mentioning

confidence: 99%

Section: Effect Of Temperature On Theoretical Spectra Of Complex Diel...mentioning

confidence: 99%

mentioning

confidence: 99%

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Theoretical Studies of Nonlinear Relaxation Electrophysical Phenomena in Dielectrics with Ionic–Molecular Chemical Bonds in a Wide Range of Fields and Temperatures

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Nonlinear Electrophysical Phenomena in Ionic Dielectrics with a Complicated Crystal Structure

et al. 2020

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Development of a model fiber-optic sensor of the external action on the basis of diffraction gratings with variable parameters of the system

Madi

Kalytka

Аlkina

et al. 2019

J. Phys.: Conf. Ser.

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Physical and mathematical model of the control system parameters of the optical signal using the sensor of the external action on the basis of a diffraction grating with variable characteristics (the lattice period; the width of the transparent strip (zone); width of the absorbing strip (zone)) are developing. A mathematical model of the diffraction grating is constructed on the basis of equations to calculate the resulting intensity and amplitude of the interference light passing through the grating. For the model of a lattice with a round hole, equations containing special functions of the Bessel function type, calculated numerically by calculating convergent infinite power series and integrals which are not calculated analytically, are proposed. The degree of accuracy of the developed model is determined by the severity of the underlying fundamental equations of theoretical and mathematical physics.

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Quantum Effects at a Proton Relaxation at Low Temperatures

Cited by 10 publications

References 4 publications

Theoretical Studies of Nonlinear Relaxation Electrophysical Phenomena in Dielectrics with Ionic–Molecular Chemical Bonds in a Wide Range of Fields and Temperatures

Theoretical Studies of Nonlinear Relaxation Electrophysical Phenomena in Dielectrics with Ionic–Molecular Chemical Bonds in a Wide Range of Fields and Temperatures

Nonlinear Electrophysical Phenomena in Ionic Dielectrics with a Complicated Crystal Structure

Development of a model fiber-optic sensor of the external action on the basis of diffraction gratings with variable parameters of the system

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