This paper examines the relationships that exist between low-frequency
fluctuations of the rate of dissipation in nonequilibrium thermodynam
ic systems and higher-order multitime statistical moments of equilibri
um noise. In particular, it studies the relationships between internal
friction fluctuations in the phonon system being excited and low-freq
uency fluctuations of Raman scattering of light in an equilibrium phon
on system. We show that both processes are related to strong fluctuati
ons in the phase diffusion rate and the relaxation of phonon modes gen
erated, in turn, by the exponential instability of the dynamical paths
of the system. (C) 1997 American Institute of Physics.