Glass transition and self-consistent mode-coupling theory

Das, Shankar P. (1990) Glass transition and self-consistent mode-coupling theory Physical Review A, 42 (10). pp. 6116-6124. ISSN 1050-2947

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The implications of a self-consistent mode-coupling theory of dense fluids for the liquid-glass transition are considered. First, we show that when higher-order corrections are ignored from our model, there is a dynamic transition of the hard-sphere fluid at an intermediate density to an ideal glassy phase. This is in agreement with earlier theoretical works. Next, we demonstrate that in the present model there is a cutoff mechanism that rounds off the sharp transition. We compute the transport coefficients for the hard-sphere fluid, which show good agreement with computer-simulation results at supercooled densities. The viscosity follows a power-law increase for the intermediate densities with an exponent close to 2. For very high densities the sharp transition is cut off and the transport coefficient increases at a slower rate. We calculate how the density autocorrelation function in a Lennard-Jones fluid decays in time. This is done for different densities along an isotherm. Our results agree much better with the slow relaxation observed in molecular-dynamics simulations than earlier theories.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:8671
Deposited On:28 Oct 2010 11:06
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