Quantum modeling of the electrical double layer

The article studies the problems of calculating both stationary and dynamic diffuse double electric layer taking into account the quantum factor. The simulation of the selfconsistent field of the quantum mechanical double electric layer is carried out on the basis of the Schrödinger equation and its modification in the form of Madelung. The approximate solution of the equations of quantum mechanics and 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 influence of the form factor of the initial distribution of plasma density, temperature, microscopic friction forces and the parameters of the computational method is studied.