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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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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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Orientational dependence of the tails of dipole-broadened NMR spectra in crystals / V. E. Zobov [et al.] // J. Exp. Theor. Phys. - 1999. - Vol. 88, Is. 1. - P. 157-167, DOI 10.1134/1.558778. - Cited References: 36 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
Рубрики:
NUCLEAR-DOUBLE-RESONANCE
   FLUCTUATION SPECTRUM
   CROSS-RELAXATION
   SOLIDS
   DIFFUSION
   MEMORY
   SHAPE
Аннотация: This paper describes experimental and theoretical studies of the tails of the dipole-broadened nuclear magnetic resonance (NMR) absorption spectra of F-19 in isomorphic single crystals of BaF2 and CaF2 with the magnetic field directed along three crystallographic axes. The results obtained by directly measuring the derivative of the tail of the NMR absorption spectrum and the falloffs of the Engelsberg-Lowe free precession after Fourier transformation qualitatively agree. It is shown that the shape of the tail is well described by an exponential function in which the orientational dependence of the exponent does not reduce to variation of the second moment. The observed shape of the tail and the orientational dependence of its parameters are explained on the basis of a self-consistent fluctuating-local-field theory. Nonlinear integral equations are derived for the correlation functions, taking into account the changes of the actual number of nearest neighbors caused by the anisotropy of the dipole-dipole interaction and the contribution of lattice sums with loops. The equations are solved numerically. Good agreement is obtained for the computed dropoffs of the free precession, the NMR spectra, and the cross-polarization rates with the experimental results. (C) 1999 American Institute of Physics. [S1063-7761(99)02401-4].

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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Div, Krasnoyarsk 660036, Russia
Krasnoyarsk State Univ, Krasnoyarsk 660041, Russia
Russian Acad Sci, Siberian Branch, Inst Chem & Chem Technol, Krasnoyarsk 660036, Russia
ИФ СО РАН
ИХХТ СО РАН

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Ivanov, Y. N.; Иванов, Юрий Николаевич; Popov, M. A.; Livshits, A. I.
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