Communications: On the linear response of mechanical systems with constraints

Abstract

We revisit the problem of the linear response of a constrained mechanical system. In doing so, we show that the standard expressions of Green and Kubo carry over to the constrained case without any alteration. The argument is based on the appropriate definition of constrained expectations by means of which Liouville's theorem and the Green-Kubo relations naturally follow. © 2010 American Institute of Physics.