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Application of the new LDA plus GTB method for the band structure calculation of n-type cuprates / M. M. Korshunov [et al.] // Physica B. - 2006. - Vol. 378-80: International Conference on Strongly Correlated Electron Systems (SECES 05) (JUL 26-30, 2005, Vienna, AUSTRIA). - P. 459-460, DOI 10.1016/j.physb.2006.01.340. - Cited References: 11 . - ISSN 0921-4526

РУБ Physics, Condensed Matter
Рубрики:
SUPERCONDUCTIVITY
PARAMETERS
DENSITY
Кл.слова (ненормированные):
strongly correlated electron systems -- superconductivity -- n-type cuprates -- n-type cuprates -- Strongly correlated electron systems -- Superconductivity -- Electronic structure -- Hamiltonians -- Mathematical models -- Oxide superconductors -- Perturbation techniques -- Intercluster hopping -- N-type cuprates -- Strongly correlated electron systems -- Band structure
Аннотация: A novel hybrid scheme is proposed and applied for band structure calculations of undoped n-type cuprate Nd2CuO4. The ab initio LDA calculation is used to obtain single electron and Coulomb parameters of the multiband Hubbard-type model. In strong correlation regime the electronic structure within this model is calculated by the generalized tight-binding (GTB) method, that combines the exact diagonalization of the model Hamiltonian for a small cluster with perturbation treatment of the intercluster hopping and interactions. For Nd2CuO4, this scheme results in charge transfer insulator with value of the gap and band dispersion in agreement to the experimental data. (c) 2006 Elsevier B.V. All rights reserved.

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
Russian Acad Sci, Inst Met Phys, Ural Div, Ekaterinburg 620219, Russia
ИФ СО РАН
L.V. Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, 660036 Krasnoyarsk, Russian Federation
Institute of Metal Physics, Russian Academy, Sciences-Ural Division, GSP-170, 620219 Yekaterinburg, Russian Federation

Доп.точки доступа:
Korshunov, M. M.; Коршунов, Максим Михайлович; Ovchinnikov, S. G.; Овчинников, Сергей Геннадьевич; Gavrichkov, V. A.; Гавричков, Владимир Александрович; Nekrasov, I. A.; Pchelkina, Z. V.; Anisimov, V. I.
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    Bloch oscillations of Bose-Einstein condensates: Quantum counterpart of dynamical instability / A. R. Kolovsky, H. J. Korsch, E. M. Graefe // Phys. Rev. A. - 2009. - Vol. 80, Is. 2, DOI 10.1103/PhysRevA.80.023617. - Cited Reference Count: 35. - Гранты: We thank D. Witthaut and F. Trimborn for valuable comments. Support from the Deutsche Forschungsgemeinschaft via the Graduiertenkolleg "Nichtlineare Optik und Ultrakurzzeitphysik" is gratefully acknowledged. - Финансирующая организация: Deutsche Forschungsgemeinschaft . - ISSN 1050-2947
Рубрики:
OPTICAL LATTICE
   ATOMS
Кл.слова (ненормированные):
Bloch dynamics -- Bloch oscillations -- Bogoliubov -- Bose-Einstein condensates -- Chaotic dynamics -- Cold atoms -- Decoherence -- Dinger equation -- Dynamical instabilities -- Equipartition -- Hubbard -- Mean-field -- Optical lattices -- Quantum counterpart -- Quasi-one-dimensional -- Quasimomentum -- Bose-Einstein condensation -- Hamiltonians -- Nonlinear equations -- Steam condensers -- Stability
Аннотация: We study the Bloch dynamics of a quasi-one-dimensional Bose-Einstein condensate of cold atoms in a tilted optical lattice modeled by a Hamiltonian of Bose-Hubbard type. The corresponding mean-field system described by a discrete nonlinear Schrodinger equation can exhibit dynamical (or modulation) instability due to chaotic dynamics and equipartition over the quasimomentum modes. It is shown that these phenomena are related to Bogoliubov's depletion of the Bose-Einstein condensate and a decoherence of the condensate in the many-particle description. Three types of dynamics are distinguished: (i) decaying oscillations in the region of dynamical instability and (ii) persisting Bloch oscillations or (iii) periodic decay and revivals in the region of stability.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660036, Russia
Tech Univ Kaiserslautern, Fachbereich Phys, D-67653 Kaiserslautern, Germany

Доп.точки доступа:
Kolovsky, A. R.; Коловский, Андрей Радиевич; Korsch, H. J.; Graefe, E. M.
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Bulgakov, E. N.
Phase rigidity and avoided level crossings in the complex energy plane / E. N. Bulgakov, I. . Rotter, A. F. Sadreev // Phys. Rev. E. - 2006. - Vol. 74, Is. 5. - Ст. 56204, DOI 10.1103/PhysRevE.74.056204. - Cited References: 40 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
OPEN QUANTUM-SYSTEMS
   FANO RESONANCES
   S-MATRIX
   DOT
   CONTINUUM
   TRANSMISSION
   COHERENCE
   TRANSPORT
   BILLIARDS
   PROBE
Кл.слова (ненормированные):
Eigenvalues and eigenfunctions -- Hamiltonians -- Resonance -- Rigidity -- Semiconductor quantum dots -- Biorthogonal eigenfunctions -- Open quantum system -- Phase rigidity -- Quantum theory
Аннотация: We consider the effective Hamiltonian of an open quantum system, its biorthogonal eigenfunctions phi(lambda), and define the value r(lambda)=(phi(lambda)parallel to phi(lambda))/ that characterizes the phase rigidity of the eigenfunctions phi(lambda). In the scenario with avoided level crossings, r(lambda) varies between 1 and 0 due to the mutual influence of neighboring resonances. The variation of r(lambda) is an internal property of an open quantum system. In the literature, the phase rigidity rho of the scattering wave function Psi(E)(C) is considered. Since Psi(E)(C) can be represented in the interior of the system by the phi(lambda), the phase rigidity rho of the Psi(E)(C) is related to the r(lambda) and therefore also to the mutual influence of neighboring resonances. As a consequence, the reduction of the phase rigidity rho to values smaller than 1 should be considered, at least partly, as an internal property of an open quantum system in the overlapping regime. The relation to measurable values such as the transmission through a quantum dot, follows from the fact that the transmission is, in any case, resonant at energies that are determined by the real part of the eigenvalues of the effective Hamiltonian. We illustrate the relation between phase rigidity rho and transmission numerically for small open cavities.

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Держатели документа:
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Linkoping Univ, Dept Phys & Measurement Technol, S-58183 Linkoping, Sweden
ИФ СО РАН
Max-Planck-Institut fur Physik Komplexer Systeme, D-01187 Dresden, Germany
Kirensky Institute of Physics, 660036 Krasnoyarsk, Russian Federation
Department of Physics and Measurement, Technology Linkoping University, S-581 83 Linkoping, Sweden

Доп.точки доступа:
Rotter, I.; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
}
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Bulgakov, E. N.
Spectroscopic properties of large open quantum-chaotic cavities with and without separated time scales / E. N. Bulgakov, I. . Rotter // Phys. Rev. E. - 2006. - Vol. 73, Is. 6. - Ст. 66222, DOI 10.1103/PhysRevE.73.066222. - Cited References: 24 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
HELMHOLTZ EQUATION
   SYSTEMS
   DYNAMICS
   STATES
   TRANSMISSION
   BILLIARDS
Кл.слова (ненормированные):
Hamiltonians -- Numerical analysis -- Phase control -- Quantum theory -- Spectroscopic analysis -- Wave transmission -- Bunimovich cavity -- Hamiltonian formalism -- Phase rigidity -- Quantum-chaotic cavities -- Cavity resonators
Аннотация: The spectroscopic properties of an open large Bunimovich cavity are studied numerically in the framework of the effective Hamiltonian formalism. The cavity is opened by attaching two leads to it in four different ways. In some cases, the transmission takes place via standing waves with an intensity that closely follows the profile of the resonances. In other cases, short-lived and long-lived resonance states coexist. The short-lived states cause traveling waves in the transmission while the long-lived ones generate superposed fluctuations. The traveling waves oscillate as a function of energy. They are not localized in the interior of the large chaotic cavity. In all considered cases, the phase rigidity fluctuates with energy. It is mostly near to its maximum value and agrees well with the theoretical value for the two-channel case.

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Держатели документа:
Kirensky Inst Phys, Krasnoyarsk 660036, Russia
Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
ИФ СО РАН
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation
Max Planck Institute for the Physics of Complex Systems, D-01187 Dresden, Germany

Доп.точки доступа:
Rotter, I.; Булгаков, Евгений Николаевич
}
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Bulgakov, E. N.
Statistics of wave functions and currents induced by spin-orbit interaction in chaotic billiards / E. N. Bulgakov, A. F. Sadreev // Phys. Rev. E. - 2004. - Vol. 70, Is. 5. - Ст. 56211, DOI 10.1103/PhysRevE.70.056211. - Cited References: 33 . - ISSN 1539-3755

РУБ Physics, Fluids & Plasmas + Physics, Mathematical
Рубрики:
HELMHOLTZ-EQUATION
   PERSISTENT CURRENTS
   ELECTRON-GAS
   RINGS
   EIGENFUNCTIONS
   SYSTEMS
   PHASE
Кл.слова (ненормированные):
Approximation theory -- Chaos theory -- Degrees of freedom (mechanics) -- Eigenvalues and eigenfunctions -- Electric field effects -- Electric potential -- Electron gas -- Hamiltonians -- Heterojunctions -- Microwaves -- Statistical methods -- Chaotic Robnik billiards -- Current distributions -- Spin-orbit interaction (SOI) -- Wave functions -- Quantum theory
Аннотация: We show that the wave function and current statistics in chaotic Robnik billiards crucially depend on the constant of the spin-orbit interaction (SOI). For small constant the current statistics is described by universal current distributions derived for slightly opened chaotic billiards [Saichev et al. J. Phys. A. 35, L87 (2002)] although one of the components of the spinor eigenfunctions is not universal. For strong SOI both components of the spinor eigenstate are complex random Gaussian fields. This observation allows us to derive the distributions of spin-orbit persistent cut-rents which well describe numerical statistics. For intermediate values of the statistics of the eigenstates and currents, both are deeply nonuniversal.

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Держатели документа:
LV Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Astafev Krasnoyarsk Pedag Univ, Lebedeva 660049 89, Russia
Linkoping Univ, IFM, S-58183 Linkoping, Sweden
ИФ СО РАН
Kirensky Institute of Physics, 660036, Krasnoyarsk, Russian Federation
Astaf'ev Krasnoyarsk Pedagogical U., 660049, Lebedeva, 89, Russian Federation
IFM, Linkoping University, S-581 83 Linkoping, Sweden

Доп.точки доступа:
Sadreev, A. F.; Садреев, Алмаз Фаттахович; Булгаков, Евгений Николаевич
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Effective parameters of the band dispersion in n-type high-T-c superconductors / M. M. Korshunov [et al.] // Physica C. - 2004. - Vol. 402, Is. 4. - P. 365-370, DOI 10.1016/j.physc.2003.10.017. - Cited References: 32 . - ISSN 0921-4534

РУБ Physics, Applied
Рубрики:
DOPED CUPRATE SUPERCONDUCTORS
   TIGHT-BINDING METHOD
   QUASI-PARTICLES
   COPPER OXIDES
   LA2-XSRXCUO4
   SYMMETRY
   MODEL
   EVOLUTION
   ORDER
Кл.слова (ненормированные):
high-T-c superconductivity -- electronic correlations -- electron-doped cuprates -- Electron-doped cuprates -- Electronic correlations -- High-Tc superconductivity -- Approximation theory -- Atomic physics -- Band structure -- Binding energy -- Charge transfer -- Correlation methods -- Doping (additives) -- Electronic structure -- Hamiltonians -- Mathematical models -- Mathematical operators -- Oxide superconductors -- Perturbation techniques -- Photoelectron spectroscopy -- Atomic orbitals -- Conduction band -- Electron doped cuprates -- Electron spins -- Valence band -- High temperature superconductors
Аннотация: The electronic structure of electron-doped cuprates is discussed in the regions of small and optimal doping. For optimal doping we obtain the parameters from a simple tight-binding analysis by fitting ARPES data, and for small doping we study the band structure by the generalized tight-binding method that takes strong electronic correlations into account explicitly. This method has also reproduced well the ARPES data for small doping. The effective low-energy Hamiltonian is the t-t'-J model with hopping parameters t and t'. We compare both methods and find very good agreement for the value of t while t' is different because it is caused by the different contribution of the short-range spin correlations. (C) 2003 Elsevier B.V. All rights reserved.

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Держатели документа:
Free Univ Berlin, Inst Theoret Phys, D-14195 Berlin, Germany
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
ИФ СО РАН
L.V. Kirensky Institute of Physics, Siberian Branch, Russian Academy of Science, Krasnoyarsk 660036, Russian Federation
Inst. fur Theoretische Physik, Freie Universitat Berlin, Arnimallee 14, D-14195 Berlin, Germany

Доп.точки доступа:
Korshunov, M. M.; Коршунов, Максим Михайлович; Gavrichkov, V. A.; Гавричков, Владимир Александрович; Ovchinnikov, S. G.; Овчинников, Сергей Геннадьевич; Manske, D.; Eremin, I.
}
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    Effects of cross correlations between inhomogeneities of the parameters of an isotropic medium on the spectrum and damping of elastic waves / V. A. Ignatchenko, D. S. Polukhin // J. Exp. Theor. Phys. - 2010. - Vol. 110, Is. 2. - P345-359, DOI 10.1134/S1063776110020184. - Cited Reference Count: 17. - Гранты: This study was supported in part by the Council on Grants from the President of the Russian Federation for the Support of Leading Scientific Schools (grant no. 3818.2008.3) and the Presidium of the Russian Academy of Sciences (program no. 27.1) and performed within the framework of the Federal Target Program (State Contract no. 02.740.11.0220). - Финансирующая организация: Council on Grants from the President of the Russian Federation for the Support of Leading Scientific Schools [3818.2008.3]; Presidium of the Russian Academy of Sciences [27.1]; Federal Target Program [02.740.11.0220] . - FEB. - ISSN 1063-7761
   Перевод заглавия: ВЛИЯНИЕ КРОССКОРРЕЛЯЦИИ МЕЖДУ НЕОДНОРОДНОСТЯМИ ПАРАМЕТРОВ ИЗОТРОПНОЙ СРЕДЫ НА СПЕКТР И ЗАТУХАНИЕ УПРУГИХ ВОЛН
Кл.слова (ненормированные):
Cross correlations -- Dispersion law -- Elastic force -- Inhomogeneities -- Isotropic medium -- Negative cross-correlation -- Physical nature -- Two parameter -- Wave spectra -- Damping -- Dispersions -- Elastic waves -- Hamiltonians -- Dispersion (waves)
Аннотация: The dispersion and damping laws have been investigated for elastic waves in an isotropic medium with one- and three-dimensional inhomogeneities of the density p(x) of the material and the elastic force constants mu(x) and lambda(x) with allowance for the cross correlations between these inhomogeneities. It has been demonstrated that the positive cross correlations between mu(x) and lambda(x), as well as the negative cross correlations between p(x) and mu(x) or p(x) and lambda(x), lead to an enhancement of the modification of the dispersion law and an increase in the damping of waves. The positive cross correlations between p(x) and mu(x) or p(x) and lambda(x), as well as the negative cross correlations between mu(x) and lambda(x), result in the opposite effects: a weakening of the modification of the dispersion law and a decrease in the damping. An analysis of the results obtained in this paper and in our recent work [15] has made it possible to formulate the general regularity of the effects of cross correlations, irrespective of the physical nature of the waves: the effects of cross correlations between inhomogeneities of any two parameters of the material on the wave spectrum depend on whether both parameters related by the cross correlations belong to the same part of the Hamiltonian (i.e., if they both belong to either the kinetic part or the potential part of the Hamiltonian) or they belong to different parts of the Hamiltonian. The positive cross correlations lead to a greater modification of the dispersion law and to an increase in the damping of waves in the former case and to a decrease in these characteristics in the latter case. Correspondingly, the negative cross correlations in each of these cases result in the opposite effects. This regularity has been explained qualitatively.

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Оригинал на русском языке Влияние кросскорреляции между неоднородностями параметров изотропной среды на спектр и затухание упругих волн [Текст] / В. А. Игнатченко, Д. С. Полухин // Журнал экспериментальной и теоретической физики. - Москва : Федеральное государственное унитарное предприятие "Академический научно-издательский, производственно-полиграфический и книгораспространительский центр Российской академии наук "Издательство "Наука", 2010. - Т. 137 № 2. - С. 390-405

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

Доп.точки доступа:
Ignatchenko, V. A.; Игнатченко, Вальтер Алексеевич; Polukhin, D. S.; Полухин, Дмитрий Сергеевич
}
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Forming a dielectric exciton phase in strongly correlated systems with spin crossover / Y. S. Orlov, S. V. Nikolaev, V. A. Dudnikov, S. G. Ovchinnikov // Phys. Rev. B. - 2021. - Vol. 104, Is. 19. - Ст. 195103, DOI 10.1103/PhysRevB.104.195103. - Cited References: 46. - The authors thank the Russian Scientific Foundation for financial support under Grant No. 18-12-00022 . - ISSN 2469-9950
Кл.слова (ненормированные):
Antiferromagnetism -- Electronic structure -- Hamiltonians -- Antiferromagnetic orderings -- Effective Hamiltonian -- Electronic.structure -- High pressure -- High spins -- Spin crossovers -- Strong electron correlations -- Strongly correlated systems -- Two bands -- Two-band Hubbard model -- Excitons
Аннотация: Formation of the magnetic structure and exciton condensate of local magnetic excitons in strongly correlated systems near the spin crossover under high pressure is considered in terms of the effective Hamiltonian obtained from a two-band Hubbard model in the regime of strong electron correlations. The coexistence of the long-range antiferromagnetic order and exciton condensate and the occurrence of the magnetization caused by the condensation of local magnetic excitons are demonstrated. Transformation of the electronic structure of the antiferromagnetic high-spin insulator into the paramagnetic two-band correlated metal via a narrow-gap antiferromagnetic excitonic semiconductor is obtained.

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Держатели документа:
Institute of Engineering and Radio Electronics, Siberian Federal University, Krasnoyarsk, 660041, Russian Federation
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Orlov, Yu. S.; Орлов, Юрий Сергеевич; Nikolaev, S. V.; Николаев, Сергей Викторович; Dudnikov, V. A.; Дудников, Вячеслав Анатольевич; Ovchinnikov, S. G.; Овчинников, Сергей Геннадьевич
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General framework of bound states in the continuum in an open acoustic resonator / L. Huang, B. Jia, A. S. Pilipchuk [et al.] // Phys. Rev. Appl. - 2022. - Vol. 18, Is. 5. - Ст. 054021, DOI 10.1103/PhysRevApplied.18.054021. - Cited References: 47. - L.H. and A.E.M. are supported by the Australian Research Council Discovery Project (Grant No. DP200101353) and the UNSW Scientia Fellowship program. Y.K.C. and D.A.P. are supported by the Australian Research Council Discovery Project (Grant No. DP200101708). B.J., S.H., and Y.L. are supported by the National Natural Science Foundation of China (Grant No. 12074286) and the Shanghai Science and Technology Committee (Grant No. 21JC1405600). A.P., E.B., and A.S. are supported by the Russian Science Foundation (Grant No. 22-12-00070) . - ISSN 2331-7019
Кл.слова (ненормированные):
Acoustic resonators -- Acoustic waveguides -- Bound-states -- Coupled waveguide resonators -- Degenerate modes -- Eigen modes -- General method -- High-Q resonances -- Momentum spaces -- Non-Hermitian Hamiltonians -- Waveguide-resonators -- Waveguide filters
Аннотация: Bound states in the continuum (BICs) provide a viable way of achieving high-Q resonances in both photonics and acoustics. In this work, we propose a general method of constructing Friedrich-Wintgen (FW) BICs and accidental BICs in a coupled acoustic waveguide-resonator system. We demonstrate that FW BICs can be achieved with arbitrary two degenerate resonances in a closed resonator, regardless of whether they have the same or opposite parity. Moreover, their eigenmode profiles can be arbitrarily engineered by adjusting the position of the attached waveguide. This suggests an effective way of continuously switching the nature of the BICs from FW BICs to symmetry-protected BICs or accidental BICs. Also, such BICs are sustained in the coupled waveguide-resonator system with shapes such as rectangles, ellipses, and rhomboids. These interesting phenomena are well explained by the two-level effective non-Hermitian Hamiltonian, where two strongly coupled degenerate modes play a major role in forming such FW BICs. Additionally, we find that such an open system also supports accidental BICs in geometry space instead of momentum space via tuning the position of the attached waveguide, which is attributed to the quenched coupling between the waveguide and eigenmodes of the closed cavity. Finally, we fabricate a series of three-dimensional coupled resonator waveguides and experimentally verify the existence of FW BICs and accidental BICs by measuring the transmission spectra. Our results complement the current BIC library in acoustics and provide nice routes for designing acoustic devices, such as acoustic absorbers, filters, and sensors.

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Держатели документа:
School of Engineering and Information Technology, University of New South Wales, Northcott Drive, Canberra, ACT 2600, Australia
Institute of Acoustics, Tongji University, Shanghai, 200092, China
L. V. Kirensky Institute of Physics, Federal Research Center KSC Siberian Branch, RAN, Krasnoyarsk, 660036, Russian Federation
Department of Electrical and Computer Engineering, Duke University, Durham, NC 27708, United States
Department of Mechanical Engineering, Rowan University, Glassboro, NJ 08028, United States

Доп.точки доступа:
Huang, L.; Jia, B.; Pilipchuk, A. S.; Пилипчук, Артем Сергеевич; Chiang, Y.; Huang, S.; Li, J.; Shen, C.; Bulgakov, E. N.; Булгаков, Евгений Николаевич; Deng, F.; Powell, D. A.; Cummer, S. A.; Li, Y.; Sadreev, A. F.; Садреев, Алмаз Фаттахович; Miroshnichenko, A. E.
}
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10.

Ignatchenko, V. A.
Effects of cross correlations between inhomogeneities of the parameters of an isotropic medium on the spectrum and damping of elastic waves / V. A. Ignatchenko, D. S. Polukhin // J. Exp. Theor. Phys. - 2010. - Vol. 110, Is. 2. - P. 345-359, DOI 10.1134/S1063776110020184. - Cited References: 17. - This study was supported in part by the Council on Grants from the President of the Russian Federation for the Support of Leading Scientific Schools (grant no. 3818.2008.3) and the Presidium of the Russian Academy of Sciences (program no. 27.1) and performed within the framework of the Federal Target Program (State Contract no. 02.740.11.0220). . - ISSN 1063-7761

РУБ Physics, Multidisciplinary

Кл.слова (ненормированные):
Cross correlations -- Dispersion law -- Elastic force -- Inhomogeneities -- Isotropic medium -- Negative cross-correlation -- Physical nature -- Two parameter -- Wave spectra -- Damping -- Dispersions -- Elastic waves -- Hamiltonians -- Dispersion (waves)
Аннотация: The dispersion and damping laws have been investigated for elastic waves in an isotropic medium with one- and three-dimensional inhomogeneities of the density p(x) of the material and the elastic force constants mu(x) and lambda(x) with allowance for the cross correlations between these inhomogeneities. It has been demonstrated that the positive cross correlations between mu(x) and lambda(x), as well as the negative cross correlations between p(x) and mu(x) or p(x) and lambda(x), lead to an enhancement of the modification of the dispersion law and an increase in the damping of waves. The positive cross correlations between p(x) and mu(x) or p(x) and lambda(x), as well as the negative cross correlations between mu(x) and lambda(x), result in the opposite effects: a weakening of the modification of the dispersion law and a decrease in the damping. An analysis of the results obtained in this paper and in our recent work [15] has made it possible to formulate the general regularity of the effects of cross correlations, irrespective of the physical nature of the waves: the effects of cross correlations between inhomogeneities of any two parameters of the material on the wave spectrum depend on whether both parameters related by the cross correlations belong to the same part of the Hamiltonian (i.e., if they both belong to either the kinetic part or the potential part of the Hamiltonian) or they belong to different parts of the Hamiltonian. The positive cross correlations lead to a greater modification of the dispersion law and to an increase in the damping of waves in the former case and to a decrease in these characteristics in the latter case. Correspondingly, the negative cross correlations in each of these cases result in the opposite effects. This regularity has been explained qualitatively.

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Держатели документа:
[Ignatchenko, V. A.] Russian Acad Sci, Siberian Branch, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
[Polukhin, D. S.] Siberian Fed Univ, Krasnoyarsk 660041, Russia
ИФ СО РАН
Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk 660036, Russian Federation
Siberian Federal University, pr. Svobodny 79, Krasnoyarsk 660041, Russian Federation

Доп.точки доступа:
Polukhin, D. S.; Полухин, Дмитрий Сергеевич; Игнатченко, Вальтер Алексеевич
}
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