Freezing of classical fluids in a quenched random potential

Dasgupta, C. (2002) Freezing of classical fluids in a quenched random potential Phase Transitions: A Multinational Journal, 75 (4-5). pp. 441-450. ISSN 0141-1594

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The phase diagram of a hard-sphere fluid in the presence of a random pinning potential is studied analytically and numerically. In the analytic work, replicas are introduced for averaging over the quenched disorder, and the hypernetted chain approximation is used to calculate density correlations in the replicated liquid. The freezing transition of the liquid into a nearly crystalline state is studied using a density-functional approach, and the liquid to glass transition is studied using a phenomenological replica symmetry breaking approach. In the numerical work, local minima of a discretized version of the Ramakrishnan-Yussouff free-energy functional are located and the phase diagram in the density-disorder plane is obtained from an analysis of the relative stability of these minima. Both approaches lead to similar results for the phase diagram. The first-order liquid to crystalline solid transition is found to change to a continuous liquid to glass transition as the strength of the disorder is increased above a threshold value.

Item Type:Article
Source:Copyright of this article belongs to Taylor and Francis Group.
Keywords:Density-functional Theory; Replica Symmetry; Phase Diagram; Glass Transition
ID Code:83264
Deposited On:17 Feb 2012 04:10
Last Modified:17 Feb 2012 04:10

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