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Flerov, I. N.
Thermal-expansion and phase-transitions in K2ZnCl4 crystal / I. N. Flerov, L. A. Kot // Fiz. Tverd. Tela. - 1981. - Vol. 23, Is. 8. - P. 2422-2424. - Cited References: 9 . - ISSN 0367-3294

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Доп.точки доступа:
Kot, L. A.; Флёров, Игорь Николаевич
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FLEROV, I. N.
LOW-TEMPERATURE SPECIFIC-HEAT AND THERMAL-EXPANSION OF K2SEO4 / I. N. FLEROV, L. A. KOT, A. I. KRIGER // Fiz. Tverd. Tela. - 1982. - Vol. 24, Is. 6. - P. 1673-1676. - Cited References: 7 . - ISSN 0367-3294

РУБ Physics, Condensed Matter

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Доп.точки доступа:
KOT, L. A.; KRIGER, A. I.
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Zobov, V. E.
Singular points of time-dependent correlation functions of spin systems on large-dimensional lattices at high temperatures / V. E. Zobov // Theor. Math. Phys. - 2000. - Vol. 123, Is. 1. - P. 511-523, DOI 10.1007/BF02551058. - Cited References: 21 . - ISSN 0040-5779

РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
BRANCHED POLYMERS
   HEISENBERG MAGNET
   EXPANSION
   MODELS
Аннотация: Time-dependent autocorrelation functions are investigated for the Heisenberg model with spins 1/2 on d-dimensional simple cubic lattices of large dimensions d at infinite temperature. The autocorrelation function on the imaginary time axis is interpreted as the generating function of bond trees constructed with double bonds. These trees provide the leading terms with respect to lid for the time-expansion coefficients of the autocorrelation function. The correction terms from branch intersections to the generating function in the Bethe approximation are derived for these trees. A procedure is suggested for finding the correction to the coordinate of the singular point of the generating function (i.e., to the reciprocal of the branch growth-rate parameter) from the above correction terms without calculating the number of trees. The leading correction terms of order 1/sigma(2) (where sigma = 2d - 1) are found for the coordinates of the singular points of the autocorrelation function in question and for the generating function of the trees constructed with single bonds in the Eden model.

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Держатели документа:
RAS, LV Kirensky Phys Inst, Siberian Div, Krasnoyarsk, Russia
ИФ СО РАН

Доп.точки доступа:
Зобов, Владимир Евгеньевич
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Alekseev, K. N.
The 1/N-expansion, quantum-classical correspondence and nonclassical states generation in dissipative higher-order anharmonic oscillators / K. N. Alekseev, J. . Perina // Phys. Scr. - 2000. - Vol. 61, Is. 1. - P. 7-16, DOI 10.1238/Physica.Regular.061a00007. - Cited References: 38 . - ISSN 0281-1847

РУБ Physics, Multidisciplinary
Рубрики:
2ND-HARMONIC GENERATION
   HARMONIC-GENERATION
   SQUEEZED STATES
   CHAOS
   LIGHT
   MECHANICS
   DYNAMICS
   STATISTICS
   SYSTEMS
   OPTICS
Аннотация: We develop a method for the determination of the dynamics of dissipative quantum systems in the limit of large number of quanta N, based on the 1/N-expansion of Heidmann et al. [Opt. Commun. 54, 189 (1985)] and the quantum-classical correspondence. Using this method, we End analytically the dynamics of nonclassical states generation in the higher-order anharmonic dissipative oscillators for an arbitrary temperature of a reservoir. We show that the quantum correction to the classical motion increases with time quadratically up to some maximal value, which is dependent on the degree of nonlinearity and a damping constant, and then it decreases. Similarities and differences with the corresponding behavior of the quantum corrections to the classical motion in the Hamiltonian chaotic systems are discussed. We also compare our results obtained for some limiting cases with the results obtained by using other semiclassical tools and discuss the conditions for validity of our approach.

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Держатели документа:
Palacky Univ, Dept Opt, Olomouc 77207, Czech Republic
Palacky Univ, Joint Lab Opt, Olomouc 77207, Czech Republic
Acad Sci Czech Republ, Dept Opt, Olomouc, Czech Republic
Acad Sci Czech Republ, Joint Lab Opt, Olomouc 77207, Czech Republic
Russian Acad Sci, Theory Nonlinear Proc Lab, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН

Доп.точки доступа:
Perina, J.
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Zobov, V. E.
A Monte Carlo study of the dependence of the growth parameter for trees on the lattice dimension in the Eden model / V. E. Zobov, M. A. Popov // Theor. Math. Phys. - 2001. - Vol. 126, Is. 2. - P. 270-279, DOI 10.1023/A:1005260114182. - Cited References: 17 . - ISSN 0040-5779

РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
DIFFUSION-LIMITED AGGREGATION
   BRANCHED POLYMERS
   HIGH-TEMPERATURES
   EXPANSION
   TIME
Аннотация: We use the Monte Carlo method to compute the number of trees with n edges in the Eden model on d-dimensional simple cubic lattices for d = 2, 3, 4, 6, 8, 10. We compare these numbers with the exact data derived by the enumeration method up to n = 12 on the square lattice and up to n = 10 on the cubic lattice. We find that for d greater than or equal to 3, the computed values of the growth parameter for trees agree with the values that we derived earlier by the expansion in inverse powers of 2d - 1.

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Держатели документа:
RAS, Siberian Branch, Kirenskii Phys Inst, Krasnoyarsk, Russia
Krasnoyarsk State Univ, Krasnoyarsk, Russia
ИФ СО РАН
Kirenskii Physics Institute, Siberian Branch, RAS, Krasnoyarsk, Russian Federation
Krasnoyarsk State University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Popov, M. A.; Зобов, Владимир Евгеньевич
}
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Zobov, V. E.
On the coordinate of a singular point of the time correlation function for a spin system on a simple hypercubic lattice at high temperatures / V. E. Zobov, M. A. Popov // Theor. Math. Phys. - 2002. - Vol. 131, Is. 3. - P. 862-872, DOI 10.1023/A:1015935809388. - Cited References: 19 . - ISSN 0040-5779

РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
NUCLEAR-DOUBLE-RESONANCE
   HEISENBERG MAGNET
   DEPENDENCE
   MODEL
Кл.слова (ненормированные):
spin dynamics -- correlation functions -- power series in time -- frequency moments -- singular points -- generated functions -- lattice trees -- multidimensional expansion -- Correlation functions -- Frequency moments -- Generated functions -- Lattice trees -- Multidimensional expansion -- Power series in time -- Singular points -- Spin dynamics
Аннотация: Using the d(-1) expansion method (d is the space dimension), we estimate the coordinate of the time-dependent autocorrelation function singular point on the imaginary time axis for the spin 1/2 Heisenberg model on a simple hypercubic lattice at high temperatures. We represent the coefficients of the time expansion (the spectral moments) for the autocorrelation function as the sums of the weighted lattice figures in which the trees constructed from the double bonds give the leading contributions with respect to d(-1) and the same trees with the built-in squares from six bonds or diagrams with the fourfold bonds give the contribution of the next-to-leading order. We find the corrections to the coordinate of the autocorrelation function singular point that are due to the latter contributions.

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Держатели документа:
RAS, Siberian Branch, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
Krasnoyarsk State Univ, Krasnoyarsk, Russia
ИФ СО РАН
Kirensky Institute of Physics, Siberian Branch, RAS, Krasnoyarsk, Russian Federation
Kirensky State University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Popov, M. A.; Зобов, Владимир Евгеньевич
}
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Zobov, V. E.
The coordinate of the singular point of generating functions of clusters in the high-temperature dynamics of spin lattice systems with axially symmetric interaction / V. E. Zobov, M. A. Popov // Theor. Math. Phys. - 2003. - Vol. 136, Is. 3. - P. 1297-1311, DOI 10.1023/A:1025603416535. - Cited References: 25 . - ISSN 0040-5779

РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
CONSISTENT FLUCTUATING FIELD
   NUCLEAR-DOUBLE-RESONANCE
   HEISENBERG PARAMAGNET
   LINE SHAPE
   RELAXATION
   SPECTRUM
   APPROXIMATION
   CRYSTALS
   MOMENT
   CAF2
Кл.слова (ненормированные):
spin dynamics -- singular points -- expansion over the reciprocal space dimension -- Expansion over the reciprocal space dimension -- Singular points -- Spin dynamics
Аннотация: We investigate generating functions for equipped trees composed of double bonds of two sorts on a hypercubic lattice of dimension d with built-in fragments. Rules for constructing these clusters are chosen to ensure the estimate for coefficients of power series in time for the longitudinal and transverse autocorrelation functions of the spin system with axially symmetric interaction. We derive a system of two equations for the tree-generating functions and an equation for the generating functions of chains leading from the root to a fragment in a tree using the Bethe approximation and under the condition that mainly bonds of one sort are taken into account. For the face-centered hypercubic lattice, we find the First terms of the 1/d expansion for the coordinate of the singular point of the generating function in both the anisotropic and the isotropic cases taking fragments in the forms of a triangle from four bonds and a four-fold bound pair into account. The obtained result is written in terms of ratios of lattice sums and is generalized to nuclear spin systems with dipole-dipole interaction. The theoretical value of the singular-point coordinate agrees well with the experimental value calculated from the tail of the absorption spectrum of the nuclear magnetic resonance in a barium fluoride monocrystal.

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Держатели документа:
Russian Acad Sci, Siberian Branch, LV Kirensky Phys Inst, Novosibirsk, Russia
Krasnoyarsk State Univ, Krasnoyarsk, Russia
ИФ СО РАН
Kirenskii Institute of Physics, Siberian Branch, RAS, Russian Federation
Krasnoyarsk State University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Popov, M. A.; Зобов, Владимир Евгеньевич
}
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Heat capacity and thermal expansion study of relaxor-ferroelectric Ba0.92Ca0.08Ti0.76Zr0.24O3 / M. . Gorev [et al.] // J. Phys.: Condens. Matter. - 2004. - Vol. 16, Is. 39. - P. 7143-7150, DOI 10.1088/0953-8984/16/39/045. - Cited References: 18 . - ISSN 0953-8984

РУБ Physics, Condensed Matter
Рубрики:
CERAMICS
BA(TI1-XZRX)O-3
PEROVSKITES
Кл.слова (ненормированные):
Calorimetry -- Dielectric properties -- Ferroelectric materials -- Perovskite -- Phase transitions -- Solid solutions -- Specific heat -- Thermal expansion -- Adiabatic calorimetry -- Frequency dispersion -- Polar domains -- Relaxor ferroelectrics -- Barium compounds
Аннотация: Heat capacity and thermal expansion of the Ba0.92Ca0.08Ti0.76Zr0.24O3 compound is measured using the methods of adiabatic calorimetry and optic-mechanical dilatometry in the temperature range 100-370 K. Three blurred anomalies on the C-p(T) and alpha(T) dependencies are observed in the temperature range 200-360 K. The results of the studies are discussed together with data on the structure and dielectric properties in the framework of spherical random bond-random field model.

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Держатели документа:
CNRS, CEMES, F-31055 Toulouse, France
ИФ СО РАН
L V kirensky Institute of Physics, Siberian Division, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk 660036, Russian Federation

Доп.точки доступа:
Gorev, M. V.; Горев, Михаил Васильевич; Flerov, I. N.; Флёров, Игорь Николаевич; Bondarev, V. S.; Бондарев, Виталий Сергеевич; Sciau, P.; Savariault, J. M.
}
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Zobov, V. E.
Tree growth parameter in the Eden model on face-centered hypercubic lattices / V. E. Zobov, M. A. Popov // Theor. Math. Phys. - 2005. - Vol. 144, Is. 3. - P. 1361-1371, DOI 10.1007/s11232-005-0165-z. - Cited References: 19 . - ISSN 0040-5779

РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
BRANCHED POLYMERS
   HIGH-TEMPERATURES
   EXPANSION
   CLUSTERS
   SYSTEMS
   TIME
Кл.слова (ненормированные):
Eden model -- number of lattice trees -- Monte Carlo method -- growth parameter -- singular points of generating function -- large-dimension expansion -- face-centered hypercubic lattice -- Eden model -- Face-centered hypercubic lattice -- Growth parameter -- Large-dimension expansion -- Monte Carlo method -- Number of lattice trees -- Singular points of generating function
Аннотация: In the Eden model, we investigate how the tree growth parameter depends on the space dimension d for face-centered hypercubic lattices. We find the first three terms of the 1/d-expansion for this parameter directly from the generating function without calculating the number of trees because the growth parameter is the reciprocal coordinate of the singular point of the tree generating function. The same growth parameter was calculated by computer experiment where the ratios between the numbers of trees without intersections and trees without restrictions in the dimensions 3, 4, 6, 8, and 10 were estimated by the Monte Carlo method on face-centered cubic lattices. The results of the two methods agree well. Comparing with the previously performed computer experiment for simple hypercubic lattices, we observe that the values of the singular exponents for the tree generating functions are close for two different types of lattices.

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Держатели документа:
RAS, Siberian Branch, Kirenskii Inst Phys, Novosibirsk, Russia
Krasnoyarsk State Univ, Krasnoyarsk, Russia
ИФ СО РАН
Kirenskii Institute of Physics, Siberian Branch, RAS, Russian Federation
Krasnoyarsk State University, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Popov, M. A.; Зобов, Владимир Евгеньевич
}
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10.

Heat capacity and thermal expansion study of Ba0.9Bi0.067(Ti1-xZrx)O3 ceramics [Text] / M. Gorev [et al.] // Journal of Physics: Condensed Matter. - 2007. - Т. 19, № 34. - С. 346237, DOI 10.1088/0953-8984/19/34/346237 . - ISSN 0953-8984. - ISSN 1361-648X

ГРНТИ

29.19

РИНЦ
Держатели документа:
ICMCB-CNRS,Universite de Bordeaux i
LVKirensky Institute of Physics,Siberian Division,Russian Academy of Sciences
Доп.точки доступа:
Gorev, M. V.; Горев, Михаил Васильевич; Bondarev, V. S.; Бондарев, Виталий Сергеевич; Flerov, I. N.; Флёров, Игорь Николаевич; Maglione, M.; Simon, A.
}
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