Quantum Modeling of a Double Electrical Layer

The article studies the problems of calculating both stationary and dynamic diffuse double electric layers (DELs), taking the quantum factor into account. The self-consistent field of the quantum mechanical DEL is simulated based on the Schrödinger equation and its modification in the Madelung form. An approximate solution of the equations of quantum mechanics and the electric field is carried out by the finite difference method. An example of modeling a diffuse double electric layer for a gas plasma and a cryogenic solution of quantum particles is considered. The effects of the form factor of the initial plasma density distribution, temperature, microscopic friction forces, and parameters of the computational method are studied.