1009.5534 (Agata Fronczak)

General, combinatorial formula for the density of states: insights into
the energy equipartition principle and the theory of phase transitions    [PDF]

Agata Fronczak

A completely new approach to the problem of energy distribution in statistical mechanics is developed that results in a general, combinatorial formula for the density of states. Relying on the approach the energy equipartition principle is reexamined and a new perspective on the theory of phase transitions (as resulting from nontrivial patterns of energy distribution characterized by the well-defined classes of forbidden microstates) is given.

View original: http://arxiv.org/abs/1009.5534