K. Okumura et Y. Tanimura, 2-TIME CORRELATION-FUNCTIONS OF A HARMONIC SYSTEM NONBILINEARLY COUPLED TO A HEAT BATH - SPONTANEOUS RAMAN-SPECTROSCOPY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(3), 1997, pp. 2747-2750
A harmonic system coupled to a heat bath comprised of harmonic oscilla
tors through a nonbilinear system-bath interaction q(2)q(j) is conside
red, where q and q(j) are the system and bath coordinates, respectivel
y. The two-time correlation functions for the model are analytically o
btained through a diagrammatic expansion. Numerical calculations of th
e analytical results are presented for the spontaneous (frequency-doma
in) Raman spectroscopy. Comparison with numerical results from the con
ventional linear-coupling model (the Brownian oscillator model) are ma
de, which indicates experimentally distinguishable temperature depende
nces.