On the Generalised Equipartition Law
Mathematical Physics
2021-03-02 v2 math.MP
Classical Physics
Abstract
We observe that the so-called Generalised Equipartition Law for hamiltonian systems is actually valid only under specific hypotheses -- unfortunately omitted in some textbooks -- which limit its applicability when dealing with nonlinear systems. We introduce a new coordinate-independent generalisation which overcomes this problem, and moreover can be applied to a larger set of functions. A simple example of application is discussed.
Cite
@article{arxiv.2009.02518,
title = {On the Generalised Equipartition Law},
author = {Guido Magnano and Beniamino Valsesia},
journal= {arXiv preprint arXiv:2009.02518},
year = {2021}
}