Abstract
A cluster expansion is obtained for the coherent and incoherent dynamic structure factors in the case of a simple classical dense fluid. The expansion is useful in the case of fluids where the hard-core repulsive part of the interaction plays an important role. The first term in the expansion is given by the dynamic structure factor of a noninteracting system. The second term is obtained by solving the dynamics of a two-particle system with initial positions given by the pair-correlation function for the full system and initial velocities given by a Maxwellian distribution. The third term is obtained by solving the dynamics of a three-particle system, etc. Keeping only the first two terms, the effect of repeated binary collisions on the dynamic structure factor is studied in the case of a hard-core fluid and a Lennard-Jones (6,12) fluid with liquid-argon parameters. The results are compared with neutron-scattering experiments.
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