Multiscale space-time dissipative structures in materials: Two-electron genesis of nonequilibrium electromechanical interfaces

Abstract

The fundamental supra-atomic scale of nanometer attosecond processes in condensed matter creates a multiscale hierarchy of electromechanical interfaces through two-electron dissipation of energy of quantum nanoelectromechanical systems. The space-time scales of electromechanical interfaces are specified, beginning with the subatomic scale of electron Compton length λ_e, by a sequence of degrees n = 1, 2, 3,... of the fine structure constant α ^-n. The third scale, with n = 3, corresponds to quantum mesoelectromechanical 2D interfaces which form functional matrices of electromechanical energy stores and converters as active nucleation centers of fractal topological defects in adjacent crystal structure regions. The hierarchy of electromechanical interfaces creates a hierarchy of dissipative structures in mesomechanics of solids and biomimetics of soft materials.