Quantum hydrodynamics of electron gases
Radomir Slavchov, Roumen Tsekov

TL;DR
This paper explores the quantum hydrodynamics of electron gases in metals, deriving new dispersion relations and analyzing surface behaviors, revealing novel quantum diffusion processes and oscillatory decay patterns.
Contribution
It introduces a quantum hydrodynamic model for electron gases, deriving dispersion relations and analyzing surface phenomena with new quantum effects.
Findings
Derived dispersion relation for electron acoustic waves.
Identified new quantum diffusion processes.
Described quantum oscillatory-decaying behavior near surfaces.
Abstract
Electron gases in metals are described as quantum charged Newtonian viscous fluids experiencing Ohmic Darcy friction on the solid lattice ions as well. The dispersion relation of the electron acoustic waves is derived, which shows the existence of new quantum diffusion processes. The electric double layer near a metal surface is studied, which exhibits a quantum oscillatory-decaying behavior different from the Friedel oscillations.
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