On The Vibrational Flux in Bounded Atoms
  In this paper we derived a model based on general assumptions and allowed us to derive some important thermodynamic functions that are time-dependent, also we could see the behavior of these functions by surfaces. The model is based on independent movements that couple and construct a flux, which makes the system as a whole not to be independent at all. 
Naidel A. M. dos S. Caturello
physics.chem-ph