On the Generalised Equipartition Law
arXiv:2009.02518 · doi:10.1016/j.aop.2021.168416
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.