Abstract
Thermal vibrations in a d-dimensional (d = 1, 2) scalar harmonic lattice of a simple structure are under consideration. Redistribution of the averaged kinetic and potential energies of particles after instantaneous thermal excitation (fast process) is described. It is established that the difference between the kinetic and potential energies undergoes power-law damped oscillations at times much longer than the characteristic atomic-vibration period. A typical exponent is –d/2. The oscillation frequencies are determined from the dispersion relation for the lattice. The algorithm of proving allows generalization to scalar and vector lattices with a complex structure and different dimensions. Thermal vibrations in a two-dimensional hexagonal lattice (graphene lattice) are considered as an example of this generalization.
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.
