Phase Diagram of a Classical Fluid in a Quenched Random Potential

Abstract

We consider the phase diagram of a classical fluid in the presence of a random pinning potential of arbitrary strength. Introducing replicas for averaging over the quenched disorder, we use the hypernetted chain approximation to calculate the 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 introduced by Mezard and Parisi. The first-order liquid-to-crystal transition is found to change to a continuous liquid-to-glass transition as the strength of the disorder is increased above a threshold value.

7 pages, 4 figures, to appear in EuroPhysics Letters

Cited by in corpus (11)

• Ideal Glass Transitions by Random Pinning
• Equilibrium glassy phase in a polydisperse hard sphere system
• Phase Behavior of Type-II Superconductors with Quenched Point Pinning Disorder: A Phenomenological Proposal
• Highly asymmetric electrolytes in the primitive model: Hypernetted chain solution in arbitrary spatial dimensions
• First-principles derivation of density functional formalism for quenched-annealed systems
• Exactly solvable spin-glass models with ferromagnetic couplings: the spherical multi-$p$-spin model in a self-induced field
• Probing Disordered Substrates by Imaging the Adsorbate in its Fluid Phase
• Phase Diagram Of A Hard-sphere System In A Quenched Random Potential: A Numerical Study
• Dynamics of fluids in quenched-random potential energy landscapes: a mode-coupling theory approach
• Dynamical arrest and replica symmetry breaking in attractive colloids
• A New Phenomenology for the Disordered Mixed Phase