Alternative formulation of the induced surface and curvature tensions approach

@article{Bugaev2020AlternativeFO,
  title={Alternative formulation of the induced surface and curvature tensions approach},
  author={Kyrill A. Bugaev},
  journal={Journal of Physics G},
  year={2020}
}
  • K. Bugaev
  • Published 24 November 2020
  • Physics
  • Journal of Physics G
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 technique and allows one to account for the fluctuations of the particle number density for the induced surface and curvature tensions equation of state. As a result one can go beyond the Van der Waals approximation by obtaining the suppression of the induced surface and curvature tensions… 
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References

SHOWING 1-10 OF 67 REFERENCES

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

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

Exactly Solvable Models: The Road towards a Rigorous Treatment of Phase Transitions in Finite Nuclear Systems

We discuss exact analytical solutions of a variety of statistical models recently obtained for finite systems by a novel powerful mathematical method, the Laplace-Fourier transform. Among them are a

A Density-dependent van der Waals Model under the GW170817 Constraint

We propose a density-dependent function for the attractive interaction in the original van der Waals model to correctly describe the flow constraint at the high-density regime of the symmetric

Theory and Simulation of Hard-Sphere Fluids and Related Systems

This work has shown that Binary Granular Mixtures at Low Density are viableixtures of Hard Spheres and Hard Disks using the Weeks-Chandler-Andersen Reference System.

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

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

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

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

Resolution of hyper-triton chemical freeze-out puzzle in high energy nuclear collisions

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

Theory of Simple Fluids

  • 2006

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

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

Asteroseismology: Radial oscillations of neutron stars with realistic equation of state

We study radial oscillations of non-rotating neutron stars (NSs) in four-dimensional General Relativity. The interior of the NS was modelled within a recently proposed multicomponent realistic
...