# Self-consistent analysis of quantum gases of hard spheres beyond the Van der Waals approximation

@article{Bugaev2019SelfconsistentAO, title={Self-consistent analysis of quantum gases of hard spheres beyond the Van der Waals approximation}, author={Kyrill A. Bugaev}, journal={The European Physical Journal A}, year={2019}, volume={55}, pages={1-7} }

Abstract.The necessary conditions to derive the quantum Van der Waals (VdW) equation of state (EoS) with hard-core repulsion from the quantum partition are discussed for the one-component case. This EoS is obtained in the grand canonical and canonical variables, and its standard virial representation with the quantum virial coefficients is given. The multicomponent formulation of the quantum VdW EoS with hard-core repulsion is derived within a self-consistent approximation which allows one to…

## 10 Citations

### Bose-Einstein Condensation of Quantum Hard-Spheres as a Deposition Phase Transition and New Relations Between Bosonic and Fermionic Pressures.

- Physics
- 2020

We investigate the phase transition of Bose-Einstein particles with the hard-core repulsion in the grand canonical ensemble within the Van der Waals approximation. It is shown that the pressure of…

### Alternative formulation of the induced surface and curvature tensions approach

- Physics
- 2020

We develop a novel method to analyze the excluded volume of the multicomponent mixtures of classical hard spheres in the grand canonical ensemble. The method is based on the Laplace-Fourier transform…

### The concept of induced surface and curvature tensions for EoS of hard discs and hard spheres

- Physics
- 2019

Mathematically rigorous derivation of the hadron matter equation of state within the induced surface and curvature tensions approach is worked out. Such an equation of state allows one to go beyond…

### Bose–Einstein Condensation as a Deposition Phase Transition of Quantum Hard Spheres and New Relations between Bosonic and Fermionic Pressures

- Physics
- 2020

We investigate the phase transition of Bose–Einstein particles with the hard-core repulsion in the grand canonical ensemble within the Van der Waals approximation. It is shown that the pressure of…

### Induced surface and curvature tensions equation of state of hadrons with relativistic excluded volumes and its relation to morphological thermodynamics

- PhysicsPhysica Scripta
- 2021

An analytical formula that accurately accounts for the Lorentz contraction of the excluded volume of two relativistic hadrons with hard-core repulsion is worked out. Using the obtained expression we…

### Classical excluded volume of loosely bound light (anti) nuclei and their chemical freeze-out in heavy ion collisions

- Physics
- 2020

From the analysis of light (anti)nuclei multiplicities that were measured recently by the ALICE collaboration in Pb+Pb collisions at the center-of-mass collision energy $\sqrt{s_{NN}} =2.76$ TeV…

### Chemical freeze-out of light nuclei in high energy nuclear collisions and resolution of the hyper-triton chemical freeze-out puzzle

- PhysicsJournal of Physics: Conference Series
- 2020

We present a summary of the recent results obtained with the novel hadron resonance gas model with the multicomponent hard-core repulsion which is extended to describe the mixtures of hadrons and…

### Resolving the hyper-triton yield description puzzle in high energy nuclear collisions

- PhysicsThe European Physical Journal A
- 2021

The recently developed hadron resonance gas model with multicomponent hard-core repulsion is used to address and resolve the long standing problem to describe the light nuclear cluster multiplicities…

### Induced surface and curvature tensions equation of state of hard spheres and its virial coefficients

- Engineering
- 2020

Here we present new results obtained for the equation of state with induced surface and curvature tensions. The explicit formulas for the first five virial coefficients of system pressure and for the…

### Second virial coefficients of light nuclear clusters and their chemical freeze-out in nuclear collisions

- PhysicsThe European Physical Journal A
- 2020

Here we develop a new strategy to analyze the chemical freeze-out of light (anti)nuclei produced in high energy collisions of heavy atomic nuclei within an advanced version of the hadron resonance…

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Mathematically rigorous derivation of the hadron matter equation of state within the induced surface and curvature tensions approach is worked out. Such an equation of state allows one to go beyond…

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