On the usefulness of entropy in statistical energy analysis

Alain Le Bot (1) , Alexandre Carbonelli (1) , Joël Perret Liaudet (1)

1 LTDS - Laboratoire de Tribologie et Dynamique des Systèmes

Statistical energy analysis is well-known method in the field of high frequencies. This method is founded on an analogy with thermodynamics and is largely inspired from results of statistical mechanics. But nowadays, the method is limited to the prediction of vibrational energies by application of the first principle of thermodynamics that is an energy balance on individual subsystems. In this study, we propose to extend statistical energy analysis by introducing the concept of vibrational entropy. The explicit formula given the vibrational entropies in terms of energies and number of modes is given. The entropy created during the energy echanges between subsystems is also given. Some examples are described which illustrate the meaning of vibrational entropy and vibrational temperature.

Domaines: Acoustique [physics.class-ph]

Alain Le Bot, Alexandre Carbonelli, Joël Perret Liaudet. On the usefulness of entropy in statistical energy analysis. Acoustics 2012, Apr 2012, Nantes, France. ⟨hal-00811020⟩