Zobrazeno 1 - 10
of 65
pro vyhledávání: '"D. A. Petrina"'
Autor:
D. S. Krivezhenko, Abdelaziz Lallam, A. I. Smirnov, D. A. Petrina, Jaime J. Hernández, Dimitri A. Ivanov, V. V. Bazarkina, Martin Rosenthal, A. Yu. Ognev, Vladimir Bataev
Publikováno v:
Nanotechnologies in Russia. 9:269-273
Nanocomposite materials on the basis of ultra-high-molecular-weight polyethylene and multilayer carbon nanotubes (MCNTs), the concentration of which varied from 0.1 to 1 wt %, were prepared by combined deposition from solution. The presence of carbon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e9a6692ff9637ed0813da708b0acb18a
https://doi.org/10.1134/s1995078014030057
https://doi.org/10.1134/s1995078014030057
Autor:
D. Ya. Petrina
Publikováno v:
Ukrainian Mathematical Journal. 60:1448-1476
We consider the BCS Hamiltonian with sources, as proposed by Bogolyubov and Bogolyubov, Jr. We prove that the eigenvectors and eigenvalues of the BCS Hamiltonian with sources can be exactly determined in the thermodynamic limit. Earlier, Bogolyubov p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26c6aafbae502786d82d78eb7a40dd31
https://doi.org/10.1007/s11253-009-0139-7
https://doi.org/10.1007/s11253-009-0139-7
Autor:
D. Ya. Petrina, G. L. Caraffini
Publikováno v:
Ukrainian Mathematical Journal. 58:418-429
The problem of the existence of solutions of the hierarchy for the sequence of correlation functions is investigated in the direct sum of spaces of summable functions. We prove the existence and uniqueness of solutions, which are represented through
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2158ce94a8cdb1334c21d4a78f4fbcf3
https://doi.org/10.1007/s11253-006-0075-8
https://doi.org/10.1007/s11253-006-0075-8
Autor:
G. L. Caraffini, D. Ya. Petrina
Publikováno v:
Ukrainian Mathematical Journal. 57:967-990
Dynamics of a system of hard spheres with inelastic collisions is investigated. This system is a model for granular flow. The map induced by a shift along the trajectory does not preserve the volume of the phase space, and the corresponding Jacobian
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4bb6e21af701c735d3cf3fe6cf2e66a
https://doi.org/10.1007/s11253-005-0242-3
https://doi.org/10.1007/s11253-005-0242-3
Autor:
D. Ya. Petrina
Publikováno v:
Ukrainian Mathematical Journal. 56:374-409
Bogolyubov proved that the average energies (per unit volume) of the ground states for the BCS Hamiltonian and the approximating Hamiltonian asymptotically coincide in the thermodynamic limit. In the present paper, we show that this result is also tr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5037ca1b939a8e8ea1ec145674ff2076
https://doi.org/10.1023/b:ukma.0000045685.31939.bc
https://doi.org/10.1023/b:ukma.0000045685.31939.bc
Autor:
D. Ya. Petrina
Publikováno v:
Ukrainian Mathematical Journal. 55:212-240
We consider the model and approximating Hamiltonians directly in the case of infinite volume. We show that each of these Hamiltonians has two branches of the spectrum and two systems of eigenvectors, which represent excitations of the ground states o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2aedf9b3e8043badc6e67fd1f1b2b5b7
https://doi.org/10.1023/a:1025412228521
https://doi.org/10.1023/a:1025412228521
Autor:
D. Ya. Petrina
Publikováno v:
Ukrainian Mathematical Journal. 55:468-480
We construct a measure that corresponds to the correlation functions of equilibrium states of infinite systems of classical statistical mechanics. The correlation functions satisfy the Bogolyubov compatibility conditions. We also construct measures t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04303242a10d55e90cb9640c36105a21
https://doi.org/10.1023/a:1025829412225
https://doi.org/10.1023/a:1025829412225
Autor:
M. Lampis, D. Ya. Petrina
Publikováno v:
Ukrainian Mathematical Journal. 54:94-111
We introduce the stochastic dynamics in the phase space that corresponds to the Boltzmann equation and hierarchy and is the Boltzmann–Grad limit of the Hamiltonian dynamics of systems of hard spheres. By the method of averaging over the space of po
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b73cb6eef5b725dd157cf0147b6a71f
https://doi.org/10.1023/a:1019797604319
https://doi.org/10.1023/a:1019797604319
Autor:
D. Ya. Petrina
Publikováno v:
Ukrainian Mathematical Journal. 54:1802-1824
We investigate the spectrum of a model Hamiltonian with BCS and mean-field interaction in a finite domain under periodic boundary conditions. The model Hamiltonian is considered on the states of pairs and waves of density charges and their excitation
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f4b4788cc5a04da7b456cc66893dc63
https://doi.org/10.1023/a:1024092308180
https://doi.org/10.1023/a:1024092308180
Autor:
D. Ya. Petrina
Publikováno v:
Ukrainian Mathematical Journal. 53:1290-1315
We establish that the averages per volume of the BCS and approximating Hamiltonians over all excited states coincide in the thermodynamic limit. Earlier, this was established only for the ground state.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cdd354ea6dd6fb89eb1725d0037a688e
https://doi.org/10.1023/a:1013351727804
https://doi.org/10.1023/a:1013351727804