Fd. Ditolla et M. Ronchetti, APPLICABILITY OF NOSE ISOTHERMAL REVERSIBLE DYNAMICS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(3), 1993, pp. 1726-1737
In this work we characterize the conditions under which the Nose appro
ach to isothermal molecular dynamics applied to a nontrivial system yi
elds time averages that are equivalent to canonical phase averages, i.
e., we, determine when the (extended) system verifies the quasiergodic
property. Our results show that the dynamics can be tuned to produce
a resonance between the characteristic frequencies of the heat bath an
d those of the thermalized system by choosing a proper value for the i
nertia of the heat bath.