Abstract
The dynamics of free and forced vibrations of a chain of particles are investigated in a harmonic model taking into account the retardation of interactions between atoms. It is found that the retardation of interactions between particles leads to the non-existence of stationary free vibrations of the crystal lattice. It is shown that in the case of a stable lattice, forced vibrations, regardless of the initial conditions, pass into a stationary regime. A non-statistical dynamic mechanism of the irreversible thermodynamic equilibration is proposed.
Highlights
The basic principles of the dynamic theory of crystal lattices with instantaneous interactions between particles were developed, mainly, in the works of Born and their coauthors [1,2]
It was found that the retardation of interactions between particles leads to a radical restructuring of the dynamics of a one-dimensional harmonic chain
It was shown that, when a stable chain of particles with retarded interactions between them is immersed in an alternating external field, the system passes into a stationary state, which depends both on the properties of the system and on the characteristics of the external field
Summary
The basic principles of the dynamic theory of crystal lattices with instantaneous interactions between particles were developed, mainly, in the works of Born and their coauthors [1,2]. A further development of crystal dynamics was aimed at taking into account the features of crystal structures, models of interatomic potentials, defects in crystals, nonlinear effects, etc. Within the framework of this theory, a system of interacting particles is equivalent to a system of noninteracting oscillators. The dispersion law of oscillators (phonons) is related to the characteristics of interatomic potentials. It is known that interactions between particles are of field origin and, instant interactions are impossible. There are practically no works on the manifestation of the retardation effect of interactions in crystal dynamics
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
