Statistical theory of the spacebounded systems of charged fermi-particles: I. The functional integration method and effective potentials

Semi-infinite jellium: Step potential model

“…Here ϕ α (z) are the wave function (III.3) of electrons in the field of the step potential, which is located at the point z = d; g(q, z 1 , z 2 , λ) is the effective interelectron interaction, which is a solution of the integral equation (II.4) and obtained using the technique of Refs. 10,11 . This potential depends on module of the vector q:…”

Modeling of Pt-catalyst surface influence on characteristics of oxygen and carbon monoxide molecules

“…1). As shown in [13], near the surface of metal there exists a non-uniform electric field with the intensity E (r).…”

Viscoelastic description of electron subsystem of a semi-bounded metal within generalized "jellium" model

“…is the statistical sum of the "jellium" model of the electron subsystem of a semibounded metal that corresponds to the equilibrium state calculated in [29,30];…”

“…In this case, the electrodiffusion, viscothermal, and electromagnetic properties of the electron subsystem change in the field of metal surface ions. To study the ion and electron structures of a semibounded metal, a generalized approach that takes the effect of discreteness of the ion subsystem into account and is based upon the model of semibounded "jellium" [29,30] was proposed in [25,26]. It is worth noting that the influence of the discreteness of an ion density on the characteristics of a semibounded "jellium" was considered in [19,[31][32][33] by means of constructing a perturbation theory with respect to the electron-ion interaction pseudopotential.…”

“…However, the linear response of the electron subsystem to the lattice potential did not take the effects of inhomogeneity of the electron subsystem into account. The approach described in [25,29,30] allows one to model the formation of a surface potential and to calculate a large statistical sum for the generalized model in terms of the cumulant averages of the "jellium" model. In [25], the generalized "jellium" model served as a basis for the statistical description of electrodiffusion processes for the electron subsystem of a semibounded metal with the use of the NSO method, where the only parameter of the reduced description was the nonequilibrium average value of the electron density.…”