# Three stable phases and thermodynamic anomaly in a binary mixture of hard particles.

@article{Rodrigues2019ThreeSP, title={Three stable phases and thermodynamic anomaly in a binary mixture of hard particles.}, author={Nathann T Rodrigues and Tiago J. Oliveira}, journal={The Journal of chemical physics}, year={2019}, volume={151 2}, pages={ 024504 } }

While the realistic modeling of the thermodynamic behavior of fluids usually demands elaborated atomistic models, much has been learned from simplified ones. Here, we investigate a model where pointlike particles (with activity z0) are mixed with molecules that exclude their first and second neighbors (i.e., cubes of lateral size λ=3a, with activity z2), both placed on the sites of a simple cubic lattice with parameter a. Only hard-core interactions exist among the particles so that the model…

## 5 Citations

### Fluid-fluid demixing and density anomaly in a ternary mixture of hard spheres.

- ChemistryPhysical review. E
- 2020

A thermodynamic anomaly characterized by minima in isobaric curves of the total density of particles is found, yielding three surfaces of minimal density in the activity space, depending on which activity is kept fixed during its calculation.

### Thermodynamic behavior of binary mixtures of hard spheres: Semianalytical solutions on a Husimi lattice built with cubes.

- PhysicsPhysical review. E
- 2019

We study binary mixtures of hard particles, which exclude up to their kth nearest neighbors (kNN) on the simple cubic lattice and have activities z_{k}. In the first model analyzed, point particles…

### Freezing phase transition in hard-core lattice gases on the triangular lattice with exclusion up to seventh next-nearest neighbor.

- Materials SciencePhysical review. E
- 2022

Hard-core lattice-gas models are minimal models to study entropy-driven phase transitions. In the k-nearest-neighbor lattice gas, a particle excludes all sites up to the kth next-nearest neighbors…

### Rejection-free cluster Wang-Landau algorithm for hard-core lattice gases.

- Computer SciencePhysical review. E
- 2021

We introduce a rejection-free, flat histogram, cluster algorithm to determine the density of states of hard-core lattice gases. We show that the algorithm is able to efficiently sample low entropy…

### Entropy of fully packed hard rigid rods on d-dimensional hypercubic lattices.

- Mathematics, Computer SciencePhysical review. E
- 2021

It is conjecture, based on a perturbative series expansion, that this large-k behavior of entropy per site is superuniversal and continues to hold on all d-dimensional hypercubic lattices, with d≥2.

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