Gaussian density fluctuations and Mode Coupling Theory for supercooled liquids

Details Gaussian density fluctuations and Mode Coupling Theory for supercooled liquids Gaussian density fluctuations and Mode Coupling Theory for supercooled liquids

2001-01-15

arxiv.org/abs/cond-mat/0101211v1

Europhys. Lett. 55, 157 (2001)

Physics

Condensed Matter

Soft Condensed Matter

4 pages, REVTEX

Scientific paper

10.1209/epl/i2001-00395-x

The equations of motion for the density modes of a fluid, derived from Newton's equations, are written as a linear generalized Langevin equation. The constraint imposed by the fluctuation-dissipation theorem is used to derive an exact form for the memory function. The resulting equations, solved under the assumption that the noise, and consequently density fluctuations, of the liquid are gaussian distributed, are equivalent to the random-phase-approximation for the static structure factor and to the well known ideal mode coupling theory (MCT) equations for the dynamics. This finding suggests that MCT is the canonical mean-field theory of the fluid dynamics.

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