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Investigation of the thermal expansion and heat capacity of the CaCu[[d]]3[[/d]]Ti[[d]]4[[/d]]O[[d]]12[[/d]] ceramics / M. V. Gorev [et al.] // Phys. Solid State. - 2012. - Vol. 54, Is. 9. - P. 1785-1789, DOI 10.1134/S1063783412090120. - Cited References: 22. - This study was supported by the Council on Grants from the President of the Russian Federation for Support of Leading Scientific Schools of the Russian Federation (grant no. NSh-4828.2012.2). . - ISSN 1063-7834

РУБ Physics, Condensed Matter
Рубрики:
GIANT DIELECTRIC-CONSTANT
HIGH-TEMPERATURES
Аннотация: The thermal expansion of the CaCu3Ti4O12 ceramics has been measured over a wide temperature range 120–1200 K. The high quality of the samples under study has been confirmed by good agreement of the results of measurements of the heat capacity in the range 2–300 K and in the vicinity of the phase transition of magnetic nature at 25 K with the data for the single crystal. No anomalies in the thermal expansion that can be associated with the phase transition at 726–732 K assumed by other investigators have been found. The influence exerted on the thermal expansion by the heat treatment of the sample in a helium atmosphere and in air has been investigated.

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Публикация на русском языке Исследование теплового расширения и теплоемкости керамики CaCu[[d]]3[[/d]]Ti4O[[d]]12[[/d]] // Физика твердого тела : Физико-технический институт им. А.Ф.Иоффе РАН, 2012. - Т. 54, Вып. 9. - С. 1675-1679. - ISSN 0367-3294

Доп.точки доступа:
Gorev, M. V.; Горев, Михаил Васильевич; Flerov, I. N.; Флёров, Игорь Николаевич; Kartashev, A. V.; Карташев, Андрей Васильевич; Guillemet-Fritsch, S.
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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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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 concentration dependence of wings of spectra of spin correlation functions of diluted heisenberg paramagnets / V. E. Zobov, M. M. Kucherov // JETP Letters. - 2016. - Vol. 103, Is. 11. - P. 687-691, DOI 10.1134/S0021364016110138. - Cited References:26 . - ISSN 0021-3640. - ISSN 1090-6487
Рубрики:
HIGH-TEMPERATURES
   AUTOCORRELATION FUNCTION
   SINGULAR POINT
   SYSTEMS
   TIME
   COORDINATE
   LATTICE
Аннотация: Singular points of the autocorrelation function on the imaginary time axis that is averaged over the location of spins in the magnetically dilute spin lattice with isotropic spin-spin interaction at a high temperature have been studied. For the autocorrelation function in the approximation of the self-consistent fluctuating local field, nonlinear integral equations have been proposed which reflect the separation of the inhomogeneous spin systems into close spins and other spins. The coordinates of the nearest singular points have been determined in terms of the radius of convergence of the expansion in powers of time, the coefficients of which have been calculated from recurrence equations. It has been shown that the coordinates of singular points and, consequently, the wings of the autocorrelation function spectrum at strong magnetic dilution are determined by the modulation of the local field by the nearest pairs of spins leading to its logarithmic concentration dependence.

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Публикация на русском языке Зобов, Владимир Евгеньевич. О концентрационной зависимости крыльев спектров спиновых корреляционных функций разбавленных гейзенберговских парамагнетиков [Текст] / В. Е. Зобов, М. М. Кучеров // Письма В ЖЭТФ. - Москва : Наука, 2016. - Т. 103 Вып. 11-12. - С. 780-784

Держатели документа:
Russian Acad Sci, Siberian Branch, Kirensky Inst Phys, Krasnoyarsk 660036, Russia.
Siberian Fed Univ, Inst Space & Informat Technol, Krasnoyarsk 660074, Russia.

Доп.точки доступа:
Kucherov, M. M.; Зобов, Владимир Евгеньевич
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