First Principles Derivation of Effective Ginzburg-Landau Free Energy models for Crystalline Systems
arXiv:cond-mat/0508363 · doi:10.1016/j.physa.2005.10.044
Abstract
The expression of the free energy density of a classical crystalline system as a gradient expansion in terms of a set of order parameters is developed using classical density functional theory. The goal here is to extend and complete an earlier derivation by L{ö}wen et al (Europhys. Lett.9, 791, 1989). The limitations of the resulting expressions are also discussed including the boundary conditions needed for finite systems and the fact that the results cannot, at present, be used to take into account elastic relaxation.
arXiv comment12 pages, no figures, sumitted to Physica A
Cited by in corpus (14)
- Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
- Derivation of the phase field crystal model for colloidal solidification
- Derivation of a three-dimensional phase-field-crystal model for liquid crystals from density functional theory
- Phase-field-crystal model for liquid crystals
- Density Functional Theory of Inhomogeneous Liquids IV. Squared-gradient approximation and Classical Nucleation Theory
- Polar liquid crystals in two spatial dimensions: the bridge from microscopic to macroscopic modeling
- Microscopic and macroscopic theories for the dynamics of polar liquid crystals
- Density functional theory of inhomogeneous liquids. I. The liquid-vapor interface in Lennard-Jones fluids
- Stability of liquid crystalline phases in the phase-field-crystal model
- Ginzburg-Landau theory of the liquid-solid interface and nucleation for hard-spheres
- A Unified Theory of Free Energy Functionals and Applications to Diffusion
- Capturing Nucleation at 4D Atomic Resolution
- Assessment of Dark Matter Models Using Dark Matter Correlations across Dwarf Spheroidal Galaxies
- Non-local Interactions are Essential Elements for Dark Matter Halo Stability: A Cross-Model Study