Phase diagram of softly repulsive systems: The Gaussian and inverse-power-law potentials
arXiv:cond-mat/0510496 · doi:10.1063/1.2064639
Abstract
We redraw, using state-of-the-art methods for free-energy calculations, the phase diagrams of two reference models for the liquid state: the Gaussian and inverse-power-law repulsive potentials. Notwithstanding the different behavior of the two potentials for vanishing interparticle distances, their thermodynamic properties are similar in a range of densities and temperatures, being ruled by the competition between the body-centered-cubic (BCC) and face-centered-cubic (FCC) crystalline structures and the fluid phase. We confirm the existence of a reentrant BCC phase in the phase diagram of the Gaussian-core model, just above the triple point. We also trace the BCC-FCC coexistence line of the inverse-power-law model as a function of the power exponent and relate the common features in the phase diagrams of such systems to the softness degree of the interaction.
22 pages, 8 figures
References in corpus (2)
Cited by in corpus (31)
- Accurate determination of crystal structures based on averaged local bond order parameters
- Why do ultrasoft repulsive particles cluster and crystallize? Analytical results from density functional theory
- Diffusion and Relaxation Dynamics in Cluster Crystals
- Explaining why simple liquids are quasi-universal
- Coulomb and Riesz gases: The known and the unknown
- Evaluation of phenomenological one-phase criteria for the melting and freezing of softly repulsive particles
- The zero-temperature phase diagram of soft-repulsive particle fluids
- Hidden scale invariance of metals
- Characterization of MIPS in a suspension of repulsive Active Brownian Particles through dynamical features
- Gaussian core model phase diagram and pair correlations in high Euclidean dimensions
- Slow Dynamics of the High Density Gaussian Core Model
- Inverse Design of Simple Pair Potentials for the Self-Assembly of Complex Structures
- Universality of the melting curves for a wide range of interaction potentials
- Composition and concentration anomalies for structure and dynamics of Gaussian-core mixtures
- On the determination of phase boundaries via thermodynamic integration across coexistence regions
- The Uhlenbeck-Ford model: Exact virial coefficients and application as a reference system in fluid-phase free-energy calculations
- NVU perspective on simple liquids' quasiuniversality
- Low-temperature and high-temperature approximations for penetrable-sphere fluids. Comparison with Monte Carlo simulations and integral equation theories
- Thermodynamics and Structural Properties of the High Density Gaussian Core Model
- Phase diagram of Gaussian-core nematics
- A pathway towards proper modeling of physical properties
- Structural and Dynamical Anomalies of a Gaussian Core Fluid: a Mode Coupling Theory Study
- Melting properties of a simple tight-binding model of transition metals: I.The region of half-filled d-band
- Displacement fields of point defects in two-dimensional colloidal crystals
- Correlation functions in liquids and crystals : Free energy functional and liquid - crystal transition
- The FCC-BCC-Fluid triple point for model pair interactions with variable softness
- Thermodynamic consistency between the energy and virial routes in the mean spherical approximation for soft potentials
- Crystal Nucleation Kinetics and Mechanism: Influence of Interaction Potential
- Fluids with power-law repulsion: Hyperuniformity and energy fluctuations
- Instability of the Body-Centered Cubic Lattice within the Sticky Hard Sphere and Lennard-Jones Model obtained from Exact Lattice Summations
- Nonequilibrium Processes in Repulsive Binary Mixtures