I-P-4 Two-Time Correlation Functions of a Harmonic System Nonbilinearly Coupled to a Heat Bath: Spontaneous Raman Spectroscopy

Ko OKUMURA and Yoshitaka TANIMURA

[Phys. Rev. E 56, 2747 (1997)]

A harmonic system coupled to a heat bath comprised of harmonic oscillators through a non-bilinear system-bath interaction q2 qj is considered, where q and qj are the system and bath coordinates, respectively. The two-time correlation functions for the model are analytically obtained through a diagrammatic expansion. Numerical calculations of the analytical results are presented for the spontaneous (frequency-domain) Raman spectroscopy. Comparison with numerical results from the conventional linear-coupling model (the Brownian oscillator model) are made, which indicates experimentally distinguishable temperature dependencies.


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