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On self-consistent determination of the quasi-average in statistical physics
Low Temperature Physics, 1997The concept of quasi-average introduced by N. N. Bogoliubov for describing the states of many-particle systems with spontaneously broken symmetry (superfluid liquids, superconductors, crystals, etc.) is generalized so that the fields introduced into the initial Hamiltonian for breaking its symmetry are not presumed to be given from outside, but are ...
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Statistical mechanics of a system of interacting dislocations: a self-consistent field approach
Il Nuovo Cimento D, 1989The equilibrium statistical mechanics of a population ofN massless dislocations is tackled in the frame of the multivariate Fokker-Planck equation associated with the corresponding system ofN nonlinear stochastic differential equations of motion. First the diffusion coefficient is found as a function of the dislocation drag parameter and absolute ...
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Zeitschrift für Physik B Condensed Matter, 1986
The electronic states in a weak, spatially correlated disordered potential are investigated using a translationally invariant formalism within a tight binding model. The effect of the disorder is mapped intok-space. The influence of the statistical correlation on the density of states and their localization properties is studied in the one-dimensional ...
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The electronic states in a weak, spatially correlated disordered potential are investigated using a translationally invariant formalism within a tight binding model. The effect of the disorder is mapped intok-space. The influence of the statistical correlation on the density of states and their localization properties is studied in the one-dimensional ...
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Calculation of thermodynamic properties of Cu and Ag using a self‐consistent statistical method
physica status solidi (b), 2004AbstractThe thermal properties of the simple fcc metals Cu and Ag are investigated within a self‐consistent statistical approach. The method is based on a variation procedure calculating a parameter of the quasi‐elastic bond of neighboring atoms. The effective interionic interaction is approximated by the Morse pair potential fitting the experimental ...
A. I. Karasevskii, V. V. Lubashenko
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Statistical Mechanics of Dense Matter: A New Self-Consistent Field Theory
The Journal of Chemical Physics, 1966A new ``self-consistent field'' method in classical statistical mechanics is described. For lattice systems with nearest-neighbor interactions the method is equivalent to the Bethe or quasichemical approximation. However it is more readily generalized to apply to more complicated systems with further-neighbor interactions, provides insight into the ...
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Macromolecules, 1990
The intramolecular rotational potential energy surface is calculated for PDMS with simultaneous rotations about successive single bonds. The minimum energy conformation is found to be a slightly twisted alternating trans-syn structure. Using this potential energy surface, Monte Carlo calculations are carried out to calculate the characteristic ratio ...
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The intramolecular rotational potential energy surface is calculated for PDMS with simultaneous rotations about successive single bonds. The minimum energy conformation is found to be a slightly twisted alternating trans-syn structure. Using this potential energy surface, Monte Carlo calculations are carried out to calculate the characteristic ratio ...
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The Journal of Chemical Physics, 1965
A self-consistent-field approximation has been applied to the continuous-representation version of statistical theory. Calculations have been carried out for He(3S and 1S), Be2+(1S), Be(1S), and Ne(1S). Binding energies are about 6% greater than experimental values.
George S. Handler, Sidney Golden
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A self-consistent-field approximation has been applied to the continuous-representation version of statistical theory. Calculations have been carried out for He(3S and 1S), Be2+(1S), Be(1S), and Ne(1S). Binding energies are about 6% greater than experimental values.
George S. Handler, Sidney Golden
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Physical Review, 1967
The ${\ensuremath{\rho}}^{\frac{1}{3}}$ approximation introduced by Slater for the exchange terms in the Hartree-Fock (HF) equations, with or without Latter's cutoff in the tail of the potential function, leads to serious errors when applied to excited configurations of atoms. A more accurate approximation (HX) is suggested in which Hartree's method is
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The ${\ensuremath{\rho}}^{\frac{1}{3}}$ approximation introduced by Slater for the exchange terms in the Hartree-Fock (HF) equations, with or without Latter's cutoff in the tail of the potential function, leads to serious errors when applied to excited configurations of atoms. A more accurate approximation (HX) is suggested in which Hartree's method is
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On the Self-Consistency Conditions in the Statistical Thermodynamics of the Coulomb System
High Temperature, 2020The thermodynamic potential for a homogeneous and isotropic equilibrium nonrelativistic system of electrons and nuclei interacting with each other according to the Coulomb law is considered. Using the virial theorem and exact relations for the Green functions, it is shown that the thermodynamic functions of the Coulomb system are uniquely determined by
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Equations with a self-consistent field in quantum-statistical theory of a crystal
Soviet Physics Journal, 1980A system of equations with a self-consistent field is derived for the density of particles in the quantum case. This system has periodic solutions for a crystal. Equations for the Fourier coefficients are deduced from these solutions and are used to find equations containing only the Fourier coefficients of the density.
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