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    Combined Effects of 2D and 3D Inhomogeneities on the Dynamic Susceptibility of Superlattices / V. A. Ignatchenko, D. S. Tsikalov // TRENDS IN MAGNETISM / . - STAFA-ZURICH : TRANS TECH PUBLICATIONS LTD, 2011. - Vol. 168-169. - P97-100. - (Solid State Phenomena), DOI 10.4028/www.scientific.net/SSP.168-169.97. - Cited Reference Count: 10 . - ISBN 1012-0394
Рубрики:
Materials Science, Multidisciplinary
   Physics, Condensed Matter
Кл.слова (ненормированные):
waves -- superlattices -- inhomogeneities -- dynamic susceptibility -- dos
Аннотация: The dynamic susceptibility and the one-dimensional density of states (DOS) of an initially sinusoidal superlattice (SL) with simultaneous presence of two-dimensional (2D) phase inhomogeneities that simulate the deformations of the interfaces between the SL's layers and three-dimensional (3D) amplitude inhomogeneities of the layer material of the SL were investigated. An analytical expression for the averaged Green's function of the sinusoidal SL with 2D phase inhomogeneities was obtained in the Bourret approximation. It was shown that the effect of increasing asymmetry of heights of the dynamic susceptibility peaks at the edge of the Brillouin zone of the SL, which was found in [6] at increasing the rms fluctuations of 2D inhomogeneities, also takes place at increasing the correlation wave number of such inhomogeneities. It was also shown that The increase of the tins fluctuations of 3D amplitude inhomogeneities in the superlattice with 2D phase inhomogeneities leads to the suppression of the asymmetry effect and to the decrease of the depth of the DOS gap.

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Держатели документа:
LV Kirensky Inst Phys SB RAS, Krasnoyarsk 660036, Russia

Доп.точки доступа:
Ignatchenko, V. A.; Игнатченко, Вальтер Алексеевич; Tsikalov, D. S.; Цикалов, Денис Сергеевич; Euro-Asian Symposium "Trends in MAGnetism"(4 ; 2010 ; Jun.-Jul. ; Ekaterinburg); Russian Acad Sci, Inst Metal Phys
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IGNATCHENKO, V. A.
CORRELATION-FUNCTIONS OF RANDOM ANISOTROPY AND THE PROBLEM OF FERROMAGNET STATE STABILITY / V. A. IGNATCHENKO, R. S. ISKHAKOV // Journal de Physique. - 1988. - Vol. 49, Is. C-8. - P. 1245-1246, DOI 10.1051/jphyscol:19888565. - Cited References: 8 . - ISSN 0302-0738

РУБ Physics, Multidisciplinary

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Держатели документа:
LV KIRENSKII PHYS INST,KRASNOYARSK 660036,USSR
ИФ СО РАН
Доп.точки доступа:
ISKHAKOV, R. S.; Исхаков, Рауф Садыкович; Игнатченко, Вальтер Алексеевич
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Ignatchenko, V. A.
Correlation-induced coupling of wave fields in disordered media / V. A. Ignatchenko, M. V. Erementchouk, A. A. Maradudin // Phys. Rev. B. - 2001. - Vol. 63, Is. 5. - Ст. 54205. - Cited References: 8 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
Рубрики:
HARMONIC OSCILLATOR
CROSSING RESONANCE
Аннотация: The interaction of two wave fields of different physical natures in a disordered medium with a zero-mean coupling between these fields is studied for the example of spin and elastic waves in zero-mean magnetostrictive media. It is shown that correlations between inhomogeneities of the coupling parameter and any other parameter of the medium lead to the appearance of an effective coupling parameter between the averaged waves, which is proportional to the intensity of the correlation and, correspondingly, to the possibility of the excitation of the averaged wave of one field by a force acting on the other wave field.

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Держатели документа:
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Univ Calif Irvine, Irvine, CA 92717 USA
ИФ СО РАН

Доп.точки доступа:
Erementchouk, M. V.; Maradudin, A. A.; Игнатченко, Вальтер Алексеевич
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Ignatchenko, V. A.
Crossing resonance of stochastically interacting wave fields / V. A. Ignatchenko, D. S. Polukhin // J. Exp. Theor. Phys. - 2013. - Vol. 116, Is. 2. - P. 206-222, DOI 10.1134/S1063776113020118. - Cited References: 42. - We are grateful to V. V. Val'kov and A. F. Sadreev for useful discussions. This work was supported by the Presidium of the Russian Academy of Sciences (Program no. 24.29), the Dynasty Foundation (Program for Support of Young Scientists), the Federal Target Program (state contract no. 14.B37.21.0730), and the Special Program for Siberian Federal University of the Ministry of Education and Science of the Russian Federation. . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
CRYSTALS
   SYSTEMS
   ALLOYS
   MEDIA
Аннотация: The dynamic susceptibilities (Green's functions) of the system of two interacting wave fields of different physical natures with a stochastically inhomogeneous coupling parameter between them with zero mean value have been examined. The well-known self-consistent approximation taking into account all diagrams with noncrossing correlation/interaction lines has been generalized to the case of stochastically interacting wave fields. The analysis has been performed for spin and elastic waves. The results obtained taking into account the processes of multiple scattering of waves from inhomogeneities are significantly different from those obtained for this situation earlier in the Bourret approximation [R.C. Bourret, Nuovo Cimento 26, 1 (1962)]. Instead of frequencies degeneracy removal in the wave spectrum and the splitting of resonance peaks of dynamic susceptibilities, a wide single-mode resonance peak should be observed at the crossing point of the unperturbed dispersion curves. The fine structure appears at vertices of these wide peaks in the form of a narrow resonance on the Green's-function curve of one field and a narrow antiresonance on the vertex of the Green's-function curve of the other field.

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Публикация на русском языке Кроссинг-резонанс стохастически взаимодействующих волновых полей. - [S. l. : s. n.]

Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Polukhin, D. S.; Полухин, Дмитрий Сергеевич; Игнатченко, Вальтер Алексеевич
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Crossing resonance of two wave fields in disordered media / V. A. Ignatchenko [et al.] // Phys. Rev. B. - 1999. - Vol. 59, Is. 14. - P. 9185-9194, DOI 10.1103/PhysRevB.59.9185. - Cited References: 15 . - ISSN 0163-1829

РУБ Physics, Condensed Matter
Рубрики:
HARMONIC OSCILLATOR
POLARITONS
Аннотация: The interaction of two wave fields of different nature in a disordered medium with an arbitrary relation between the mean value P and rms fluctuation lambda of the coupling parameter is studied. A significant reconstruction of the eigenfrequencies, damping parameters, and susceptibilities of the system occurs when the situation changes from the model of a homogeneous medium (P not equal 0, lambda=0) to the model of the disorder-induced crossing resonance (P=0, lambda not equal 0). The concept of two effective media in the same material, which was introduced for the latter model in earlier work, is extended here to the case P not equal 0. [S0163-1829(99)10313-8].

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Держатели документа:
LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Univ Calif Irvine, Irvine, CA 92697 USA
Seton Hall Univ, S Orange, NJ 07079 USA
ИФ СО РАН

Доп.точки доступа:
Ignatchenko, V. A.; Игнатченко, Вальтер Алексеевич; Erementchouk, M. V.; Maradudin, A. A.; Deych, L. I.
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Ignatchenko, V. A.
Crossing resonance of wave fields in a medium with an inhomogeneous coupling parameter / V. A. Ignatchenko, D. S. Polukhin // J. Exp. Theor. Phys. - 2013. - Vol. 117, Is. 5. - P. 846-861, DOI 10.1134/S1063776113130049 . - ISSN 1063-7761
Аннотация: The dynamic susceptibilities (Green's functions) of the system of two coupled wave fields of different physical natures in a medium with an arbitrary relation between the mean value É and rms fluctuation ΔÉ of the coupling parameter have been examined. The self-consistent approximation involving all diagrams with noncrossing correlation lines has been developed for the case where the initial Green's function of the homogeneous medium describes the system of coupled wave fields. The analysis has been performed for spin and elastic waves. Expressions have been obtained for the diagonal elements G mm and G uu of the matrix Green's function, which describe spin and elastic waves in the case of magnetic and elastic excitations, and for the off-diagonal elements G mu and G um, which describe these waves in the case of cross excitation. Change in the forms of these elements has been numerically studied for the case of one-dimensional inhomogeneities with an increase in ΔÉ and with a decrease in É under the condition that the sum of the squares of these quantities is conserved: two peaks in the frequency dependences of imaginary parts of G mm and G uu are broadened and then joined into one broad peak; a fine structure appears in the form of narrow resonance at the vertex of the Green's function of one wave field and narrow antiresonance at the vertex of the Green's function of the other field; peaks of the fine structure are broadened and then disappear with an increase in the correlation wavenumber of the inhomogeneities of the coupling parameter; and the amplitudes of the off-diagonal elements vanish in the limit É → 0.

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Публикация на русском языке Кроссинг-резонанс волновых полей в среде с неоднородным параметром связи. - [S. l. : s. n.]

Держатели документа:
Russian Acad Sci, Siberian Branch, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia

Доп.точки доступа:
Polukhin, D. S.; Полухин, Дмитрий Сергеевич; Игнатченко, Вальтер Алексеевич
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Ignatchenko, V. A.
Crossing resonance of wave fields in media with the inhomogeneouscoupling parameter [Текст] / V. A. Ignatchenko, D. S. Polukhin // V Euro-Asian simposium "Trend in MAGnetism": Nanomagnetism : abstracts. - Vladivostok : FEFU, 2013. - С. 102 . - ISBN 978-5-7444-3124-2

Доп.точки доступа:
Polukhin, D. S.; Полухин, Дмитрий Сергеевич; Игнатченко, Вальтер Алексеевич; Euro-Asian Symposium "Trends in MAGnetism": Nanomagnetism(5 ; 2013 ; Sept. ; 15-21 ; Vladivostok)
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Ignatchenko, V. A.
Development of a self-consistent approximation / V. A. Ignatchenko, D. S. Polukhin // J. Phys. A. - 2016. - Vol. 49, Is. 9. - Ст. 095004, DOI 10.1088/1751-8113/49/9/095004. - Cited References: 43 . - ISSN 1751-8113

РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
SUPERCONDUCTING CRITICAL-TEMPERATURE
   LATTICE-VIBRATIONS
   VERTEX FUNCTION
   ELECTRON
Кл.слова (ненормированные):
self-consistent approximation -- Green's functions -- vertex corrections -- inhomogeneities -- correlations -- dynamic susceptibility
Аннотация: A self-consistent approximation of a higher level than the standard self-consistent approximation, known in various fields of physics as the Migdal, Kraichnan or Born self-consistent approximation, is derived taking into account both the first and second terms of the series for the vertex function. In contrast to the standard approximation, the new self-consistent approximation is described by a system of two coupled nonlinear integral equations for the self-energy and the vertex function. In addition to all the diagrams with non-intersecting lines of correlation/interaction taken into account by the standard self-consistent approximation, the new approach takes into account in each term of the Green's function expansion a significant number of diagrams with intersections of these lines. Because of this, the shape, linewidth, and amplitude of the resonance peaks of the dynamic susceptibility calculated in this approximation are much closer to the exact values of these characteristics. The advantage of the new self-consistent approach is demonstrated by the example of calculation of the dynamic susceptibility of waves in an inhomogeneous medium. © 2016 IOP Publishing Ltd.

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Доп.точки доступа:
Polukhin, D. S.; Полухин, Дмитрий Сергеевич; Игнатченко, Вальтер Алексеевич
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Ignatchenko, V. A.
Development of the magnetoelastic resonance theory in ingomogeneous media / V. A. Ignatchenko, D. S. Polukhin // Moscow Int. Symp. on Magnet. (MISM-2017) : 1-7 July 2017 : book of abstracts. - 2017. - Ст. 2PO-K-20. - P. 223. - Cited References: 3

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Доп.точки доступа:
Polukhin, D. S.; Полухин, Дмитрий Сергеевич; Игнатченко, Вальтер Алексеевич; Moscow International Symposium on Magnetism(7 ; 2017 ; Jul. ; Moscow); Московский государственный университет им. М.В. Ломоносова; Российский фонд фундаментальных исследований
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10.

Ignatchenko, V. A.
Development of the self-consistent approximation and its application to the problem of magnetoelastic resonance in an inhomogeneous medium / V. A. Ignatchenko, D. S. Polukhin // J. Exp. Theor. Phys. - 2017. - Vol. 125, Is. 1. - P. 91-103, DOI 10.1134/S1063776117060115. - Cited References:27. - This work was supported in part by the Complex Program II.2P (0356-2015-0411) of the Siberian Branch of the Russian Academy of Sciences. . - ISSN 1063-7761. - ISSN 1090-6509

РУБ Physics, Multidisciplinary
Рубрики:
SUPERCONDUCTING CRITICAL-TEMPERATURE
COUPLING PARAMETER
MIGDALS
Аннотация: Our previously proposed approximation involving both the first and second terms of the expansion of the vertex function is generalized to the system of two interacting wavefields of different physical nature. A system of self-consistent equations for the matrix Green’s function and matrix vertex function is derived. On the basis of this matrix generalization of the new self-consistent approximation, a theory of magnetoelastic resonance is developed for a ferromagnetic model, where the magnetoelastic coupling parameter ε(x) is inhomogeneous. Equations for magnetoelastic resonance are analyzed for one-dimensional inhomogeneities of the coupling parameter. The diagonal and off-diagonal elements of the matrix Green’s function of the system of coupled spin and elastic waves are calculated with the change in the ratio between the average value ε and rms fluctuation Δε of the coupling parameter between waves from the homogeneous case (ε ≠ 0, Δε = 0) to the extremely randomized case (ε = 0, Δε ≠ 0) at various correlation wavenumbers of inhomogeneities kc. For the limiting case of infinite correlation radius (kc = 0), in addition to approximate expressions, exact analytical expressions corresponding to the summation of all diagrams of elements of the matrix Green’s function are obtained. The results calculated for an arbitrary kc value in the new self-consistent approximation are compared to the results obtained in the standard self-consistent approximation, where only the first term of the expansion of the vertex function is taken into account. It is shown that the new approximation corrects disadvantages of the Green’s functions calculated in the standard approximation such as the dome shape of resonances and bends on the sides of resonance peaks. The appearance of a fine structure of the spectrum in the form of a narrow resonance on the Green’s function of spin waves and a narrow antiresonance on the Green’s function of elastic waves, which was previously predicted in the standard self-consistent approximation, is confirmed. With an increase in the parameter kc, the Green’s functions calculated in the standard and new approximations approach each other and almost coincide with each other at kc/k ≥ 0.5. At the same time, the results of this work indicate that the new self-consistent approximation has a certain advantage for studying the problems of stochastic radiophysics in media with long-wavelength inhomogeneities (small kc values), because it describes both the shape and width of peaks much better than the standard approximation.

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Публикация на русском языке Игнатченко, Вальтер Алексеевич. Развитие самосогласованного приближения и его приложение к проблеме магнитоупругого резонанса в неоднородной среде [Текст] / В. А. Игнатченко, Д. С. Полухин // Журн. эксперим. и теор. физ. : Наука, 2017. - Т. 152 Вып. 1. - С. 110-124

Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Siberian Branch, Fed Res Ctr KSC, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Polukhin, D. S.; Полухин, Дмитрий Сергеевич; Игнатченко, Вальтер Алексеевич; Siberian Branch of the Russian Academy of Sciences [0356-2015-0411]
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