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R. R. Levitskii

Publications and source records attributed to R. R. Levitskii.

28 records · Page 2Linked to original sources

Mitsui model with diagonal strains: A unified description of external pressure effect and thermal expansion of Rochelle salt NaKC_4H_4O_6\cdot4H_2O

We elaborate a modification of the deformable two-sublattice Mitsui model of [Levitskii R.R. et al., Phys. Rev. B. 2003, 67, 174112] and [Levitskii R.R. et al., Condens. Matter Phys., 2005, 8, 881] that consistently takes into account diagonal components of the strain tensor, arising either due to external pressures or due to thermal expansion. We calculate the related to those strains thermal, piezoelectric, and elastic characteristics of the system. Using the developed fitting procedure, a set of the model parameters is found for the case of Rochelle salt crystals, providing a satisfactory agreement with the available experimental data for the hydrostatic and uniaxial pressure dependences of the Curie temperatures, temperature dependences of spontaneous diagonal strains, linear thermal expansion coefficients, elastic constants c_ij^E and c_i4^E, piezoelectric coefficients d_1i and g_1i (i=1,2,3). The hydrostatic pressure variation of dielectric permittivity is described using a derived expression for the permittivity of a partially clamped crystal. The dipole moments and the asymmetry parameter of Rochelle salt are found to increase with hydrostatic pressure.

cond-mat.mtrl-sci↗

Influence of external factors on dielectric permittivity of Rochelle salt: humidity, annealing, stresses, electric field

The present work contains results of experimental investigation of external factors, such as dessicating/wetting, thermal annealing, uniaxial and hydrostatic pressures on dielectric permittivity of Rochelle salt crystals. The obtained results are compared with available literature data. A conslusion is made that the dispersion of experimental data can be attributed to internal polar point defects in crystals and to influence of storage conditions. The obtained results are analyzed within the phenomenological Landau approach.

cond-mat.mtrl-sci↗

Investigation of ferroelectric order-disorder type compounds with asymmetric double-well potential

The Mitsui model for the order-disorder type ferroelectrics is studied within the mean field approximation. The phase diagram of the model is obtained, its dependence on the transverse field is obtained. A scheme of setting the values of the model parameters is proposed; all the dielectric characteristics of Rochelle salt are calculated with the found parameters. Within the Mitsui model we study the physical characteristics of RbHSO4 type crystals; the found values of the model parameters provide a good description of both dielectric and thermodynamic properties of these compounds.

cond-mat.stat-mech↗

Hydrostatic pressure influence on dielectric permittivity of KH2PO4 and KD2PO4 in the piezoelectric resonance region

We measured transverse and longitudinal dielectric permittivities of KDP and DKDP in the piezoelectric resonance frequency region under the hydrostatic pressure. The transverse permittivity decreases with pressure in the paraelectric phase and increases in the ferroelectric phase. The pressure dependence of the transverse permittivity of deuterated DKDP is well described by the presented theory. The longitudinal permittivity of a pure KDP exhibits several peaks in the vicinity of the transition point. Upon increasing hydrostatic pressure, the peaks get closer and may merge.

cond-mat.mtrl-sci↗

Longitudinal Field Influence on the Phase Transition and Physical Properties of the Kh2po4 Family Ferroelectrics

We verify whether the previously developed model of a KD2PO4 crystal, with the shear strain eps6 taken into account, is able to describe the longitudinal electric field E3 influence on the KH2PO4 family ferroelectrics. Major effects of the strain eps6 are splitting of the Slater energies of the short-range correlations and the effective field created by piezoelectric coupling. Calculated TC-E3 phase diagrams, field dependences of polarization, susceptibility, and elastic constant of deuterated KD2PO4 and pure KH2PO4 well accord with the available experimental data. For a consistent description of all dielectric and piezoelectric characteristics of the crystals, phonon degrees of freedom must be taken into account.

cond-mat.mtrl-sci↗

Influence of shear stress $σ_6$ on the phase transition and physical properties of KD2PO4 type ferroelectrics

Within the four-particle cluster approximation for the proton ordering model we study the influence of shear stress $σ_6$ on the phase transition, static dielectric, elastic and thermal properties of deuterated KD2PO4 type ferroelectrics. Thermodynamic potentials and physical characteristics of the crystals in the presence of stress $σ_6$ are calculated. Numerical analysis of the obtained results is performed, and the set of the theory parameters providing the best fit to the available experimental data is found. The $Tc-σ_6$ phase diagram is constructed; temperature dependences of the calculated quantities are studied, possible stress dependences are indicated. Influence of $σ_6$ stress is analogous to that of electric field conjugate to the order parameter.

cond-mat↗

Investigation of the annealed disordered Ising systems within two-tail approximation

In the present paper an approach for investigation of the disordered two-component Ising systems with long range interaction has been suggested. Possible applications to metalic and magnetic alloys and lattice gas are considered. We have also obtained numerical results for thermodynamical properties of these models. The comparison of numerical results obtained within mean field, gaussian field and two-tail approximations are carried out.

cond-mat.stat-mech↗

Correlation functions of quenched and annealed Ising systems

Spin correlation functions (up to the 3-site one) of disordered Ising model with the nearest neighbour interaction are calculated and investigated within a two-site cluster approximation for both quenched and annealed cases. The approach yields the exact results for the one-dimensional system. The long-range interaction is taken into account in the mean field approximation.

cond-mat↗

Relaxation dynamics of disordered Ising model. Two-site cluster approximation

Spin relaxation in a site-disordered Ising model within master equation approach is studied. The $\vec{q},ω$-dependent susceptibility of the model is calculated and investigated. Effects described by the two-site cluster approximation and lost by the mean field approximation are discussed. Comparison of obtained results with dielectric measurements in $Cs(H_{1-x}D_x)_2PO_4$ is presented.

cond-mat↗

Investigation of the Ising-type models within cluster approach

The method for calculation of the correlation functions of the Ising-type systems with short-range interaction and with arbitrary value of spin is developed within cluster approximation. For the Ising model (spin $S^z=\pm1$) the expressions for pair and ternary correlation functions within two-particle approximation in $\set{q}$-space are obtained for the hypercubic Bravais lattices. In the 1D case the exact expressions for them in the site space is obtained as well. On the basis of the Glauber equation within two-particle cluster approximation the longitudinal dynamical susceptibility $χ(\set{q},E)$ is found. In the 1D case and in the absence of external field the expression for $χ(\set{q},E)$ is exact. For the Emery-Blume-Griffiths model ($S^z=-2,0,2$) within two-particle approximation the pair correlation functions are calculated. The four-particle cluster approximation is used for calculation of static susceptibility $χ(\set{q})$ of $KD_2PO_4$ ferroelectrics.

cond-mat↗