A New Approach to the Calculation of the Thermodynamic Potential of Inhomogeneous Electron Gas

Kostrobij, P.; Markovych,

doi:10.5488/cmp.6.2.347

Cited by 8 publications

(24 citation statements)

References 3 publications

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“…In the second quantization representation, based on the wave functions formalism [31,32], Hamiltonian (2.6) can be written down as:…”

Section: Hamiltonian Of the Equilibrium Inhomogeneous Electron Gas Wimentioning

confidence: 99%

“…is the Hamiltonian of a "jellium" model for the inhomogeneous electron gas [31,32] in the collective variables representation.…”

Section: Hamiltonian Of the Equilibrium Inhomogeneous Electron Gas Wimentioning

confidence: 99%

“…In [31][32][33][34] for the presented model there has been proposed a new approach to the calculation of thermodynamic potential, which consists in the reduction of the corresponding non-Gaussian integral to the Gaussian form with a renormalized correlation function "density-density". It was shown that an effective potential of the electron interaction completely defines the thermodynamic potential.…”

Section: Hamiltonian Of the Equilibrium Inhomogeneous Electron Gas Wimentioning

confidence: 99%

“…The chain of equations for the Green's functions contains the elements of the frequency matrix (4.15) and equilibrium correlation functions (4.4), which could be expressed via interaction potentials and one-and two-electron distribution functions, calculated in [31][32][33][34].…”

Section: −1ḡmentioning

confidence: 99%

“…In the second section the Hamiltonian of a spatially inhomogeneous electron gas, based on the generalized "jellium" model, is presented. Based on this the one-and two-electron distribution functions, free energy, surface energy, inhomogeneous electrical field of electrons of semi-infinity jellium are calculated in [31][32][33][34] using the method of dynamical collective variables and the functional representation with taking screening effects into account. These results of equilibrium theory are considered as basic ones for the development of nonequilibrium statistical theory of transport processes for a spatially inhomogeneous electron gas.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Nonequilibrium statistical Zubarev's operator and Green's functions for an inhomogeneous electron gas

Kostrobii¹,

Markovych²,

Vasylenko³

et al. 2006

Condens. Matter Phys.

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Nonequilibrium properties of an inhomogeneous electron gas are studied using the method of the nonequilibrium statistical operator by D.N. Zubarev. Generalized transport equations for the mean values of inhomogeneous operators of the electron number density, momentum density, and total energy density for weakly and strongly nonequilibrium states are obtained. We derive a chain of equations for the Green's functions, which connects commutative time-dependent Green's functions "density-density", "momentum-momentum", "enthalpy-enthalpy" with reduced Green's functions of the generalized transport coefficients and with Green's functions for higher order memory kernels in the case of a weakly nonequilibrium spatially inhomogeneous electron gas.

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“…In the second quantization representation, based on the wave functions formalism [31,32], Hamiltonian (2.6) can be written down as:…”

Section: Hamiltonian Of the Equilibrium Inhomogeneous Electron Gas Wimentioning

confidence: 99%

“…is the Hamiltonian of a "jellium" model for the inhomogeneous electron gas [31,32] in the collective variables representation.…”

Section: Hamiltonian Of the Equilibrium Inhomogeneous Electron Gas Wimentioning

confidence: 99%

Section: Hamiltonian Of the Equilibrium Inhomogeneous Electron Gas Wimentioning

confidence: 99%

Section: −1ḡmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Nonequilibrium statistical Zubarev's operator and Green's functions for an inhomogeneous electron gas

Kostrobii¹,

Markovych²,

Vasylenko³

et al. 2006

Condens. Matter Phys.

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Semi-infinite jellium: Thermodynamic potential, chemical potential, and surface energy

Kostrobij¹,

Markovych²

2015

Phys. Rev. B

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Abstract. General expression for the thermodynamic potential of the model of semiinfinite jellium is obtained. By using this expression, the surface energy for infinite barrier model is calculated. The behavior of the surface energy and of chemical potential as functions of the Wigner-Seitz radius and the influence of the Coulomb interaction between electrons on the calculated values is studied. It is shown that taking into account the Coulomb interaction between electrons leads to growth of the surface energy. The surface energy is positivein the entire area of the Wigner-Seitz radius. It is shown that taking into account the Coulomb interaction between electrons leads to a decrease of the chemical potential.

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Effective Potential of Electron-Electron Interaction in the Semiinfinite Electron Gas with regard for the Local-Field Correction

Markovych¹,

Zadvorniak²

2014

Ukr. J. Phys.

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A New Approach to the Calculation of the Thermodynamic Potential of Inhomogeneous Electron Gas

Cited by 8 publications

References 3 publications

Nonequilibrium statistical Zubarev's operator and Green's functions for an inhomogeneous electron gas

Nonequilibrium statistical Zubarev's operator and Green's functions for an inhomogeneous electron gas

Semi-infinite jellium: Thermodynamic potential, chemical potential, and surface energy

Effective Potential of Electron-Electron Interaction in the Semiinfinite Electron Gas with regard for the Local-Field Correction

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