Perturbation Theory for Classical Solids

Abstract

The first well founded perturbation theory for classical solid systems is presented. Theoretical approaches to thermodynamic and structural properties of the hard-sphere solid provide us with the reference system. The traditional difficulties of all previous approaches are overcome. The perturbation is a first order term in an expansion of the Helmholtz free energy functional instead of an additive {\it ad hoc} term and the proper solid reference structure is used instead of some kind of mapping into the fluid structure at some effective density. As the theory reduces to the usual liquid perturbation theory in the uniform limit, it can describe consistently the complete phase diagram. Excellent results are obtained when applied to different model systems.

4 pages, latex, 1 figure available upon request: ([email protected])

References in corpus (2)

• Theoretical Approach to the Correlations of a Hard-Sphere Crystal
• Equation of State of the Hard-Sphere Crystal

Cited by in corpus (13)

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• Confirmation of Anomalous Dynamical Arrest in attractive colloids: a molecular dynamics study
• Global Equation of State of two-dimensional hard sphere systems
• Phase Behavior of Short Range Square Well Model
• Hard-body models of bulk liquid crystals
• Solid-phase structures of the Dzugutov pair potential
• Stability of Colloidal Quasicrystals
• Liquid-Solid Transition of Hard Spheres Under Gravity
• Theoretical description of phase coexistence in model C60
• Phonon dispersions of cluster crystals
• Integral Equation Theory for Pair Correlation Functions in a Crystal
• Freezing of Simple Liquid Metals
• Free-Energy Functional Approach to Inverse Problems for Self-Assembly of Three-Dimensional Crystals