A one-dimensional model with water-like anomalies and two phase transitions
arXiv:1209.5898 · doi:10.1063/1.4742332
Abstract
We investigate a one-dimensional model that shows several properties of water. The model combines the long-range attraction of the van der Waals model with the nearest-neighbor interaction potential by Ben-Naim, which is a step potential that includes a hard core and a potential well. Starting from the analytical expression for the partition function, we determine numerically the Gibbs energy and other thermodynamic quantities. The model shows two phase transitions, which can be interpreted as the liquid-gas transition and a transition between a high-density and a low-density liquid. At zero temperature, the low-density liquid goes into the crystalline phase. Furthermore, we find several anomalies that are considered characteristic for water. We explore a wide range of pressure and temperature values and the dependence of the results on the depth and width of the potential well.
References in corpus (18)
- Relation Between the Widom line and the Strong-Fragile Dynamic Crossover in Systems with a Liquid-Liquid Phase Transition
- Core-softened potentials and the anomalous properties of water
- Molecular structural order and anomalies in liquid silica
- Hydrogen bonds and van der Waals forces in ice at ambient and high pressures
- Phase behavior of a system of particles with core collapse
- Thermodynamic and dynamic anomalies for a three dimensional isotropic core-softened potential
- Thermodynamics and Dynamics of the Two-Scale Spherically-Symmetric Jagla Model of Anomalous Liquids
- Quasi-binary amorphous phase in a 3D system of particles with repulsive-shoulder interactions
- Waterlike thermodynamic anomalies in a repulsive-step potential system
- Isotropic soft-core potentials with two characteristic length scales and anomalous behaviour
- Water-Like Anomalies for Core-Softened Models of Fluids: Two-Dimensional Systems
- Breakdown of The Excess Entropy Scaling for the Systems with Thermodynamic Anomalies
- Water-like anomalies for core-softened models of fluids: One dimension
- Inversion of Sequence of Diffusion and Density Anomalies in Core-Softened Systems
- Applications of the Stell-Hemmer Potential to Understanding Second Critical Points in Real Systems
- Complex Phase Behavior of The System of Particles with Smooth Potential with Repulsive Shoulder and Attractive Well
- Core-softened Fluids, Water-like Anomalies and the Liquid-Liquid Critical Points
- Thermodynamic and dynamic anomalies in a one dimensional lattice model of liquid water