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A generalization of the Van der Waals excluded volume procedure for the multicomponent hadron gas is proposed. The derivation is based on the grand canonical partition function for the system of particles of several species interacting by…

Nuclear Theory · Physics 2009-10-31 M. I. Gorenstein , A. P. Kostyuk , Ya. D. Krivenko

A canonical partition function for the two-component excluded volume model is derived, leading to two different van der Waals approximations. The one is known as the Lorentz-Berthelot mixture and the other has been proposed recently. Both…

Nuclear Theory · Physics 2007-05-23 G. Zeeb , K. A. Bugaev , P. T. Reuter , H. Stocker

In this work we discuss a modified version of Excluded Volume Hadron Resonance Gas model and also study the effect of Lorentz contraction of the excluded volume on scaled pressure and susceptibilities of conserved charges. We find that the…

High Energy Physics - Phenomenology · Physics 2021-03-10 Somenath Pal , Abhijit Bhattacharyya , Rajarshi Ray

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 heuristically derive the equation of…

We consider thermodynamics of the excluded volume particles at finite temperature and chemical potential, in the low density approximation. We assume Boltzmann statistics and study the influence of the excluded volume on an ideal gas…

High Energy Physics - Phenomenology · Physics 2016-02-17 Krzysztof Redlich , Kacper Zalewski

An overview of a hadron resonance gas (HRG) model that includes van der Waals interactions between hadrons is presented. Applications of the excluded volume HRG model to heavy-ion collision data and lattice QCD equation of state are…

Nuclear Theory · Physics 2020-07-09 Volodymyr Vovchenko

The shear viscosity $\eta$ in the van der Waals excluded volume hadron-resonance gas model is considered. For the shear viscosity the result of the non-relativistic gas of hard-core particles is extended to the mixture of particles with…

Nuclear Theory · Physics 2011-12-06 M. I. Gorenstein , M. Hauer , O. N. Moroz

The multiplicity fluctuations are studied in the van der Waals excluded volume hadron-resonance gas model. The calculations are done in the grand canonical ensemble within the Boltzmann statistics approximation. The scaled variances for…

Nuclear Theory · Physics 2008-11-26 M. I. Gorenstein , M. Hauer , D. O. Nikolajenko

In this work, the molar volume thermal expansion coefficient of 60 room temperature ionic liquids is compared with their van der Waals volume Vw. Regular correlation can be discerned between the two quantities. An average free volume model,…

Chemical Physics · Physics 2014-09-19 Yang Yu

Generalized mean-field approach for thermodynamic description of relativistic single- and multi-component gas in the grand canonical ensemble is formulated. In the framework of the proposed approach different phenomenological…

Nuclear Theory · Physics 2015-09-10 D. Anchishkin , V. Vovchenko

In this work, the molar volume thermal expansion coefficient of 59 room temperature ionic liquids is compared with their van der Waals volume Vw. Regular correlation can be discerned between the two quantities. An average free volume model,…

Chemical Physics · Physics 2014-04-03 Yang Yu , Reinhard Krause-Rehberg

The Monte Carlo results in lattice QCD for the pressure and energy density at small temperature $T < 155$ MeV and zero baryonic chemical potential are analyzed within the hadron resonance gas model. Two extensions of the ideal hadron…

Nuclear Theory · Physics 2015-02-20 V. Vovchenko , D. V. Anchishkin , M. I. Gorenstein

A simple theory is proposed for the dispersive molecular binding of unusually high magnitude due to an enhanced polarizability. Two alternative ways have so far been considered in the literature leading to the polarizability enhancement:…

Soft Condensed Matter · Physics 2007-05-23 Mladen Georgiev , Alexander Gochev , Jai Singh

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 the Van der Waals approximation for the…

Nuclear Theory · Physics 2020-12-22 Nazar S. Yakovenko , Kyrill A. Bugaev , Larissa V. Bravina , Eugene E. Zabrodin

Excluded-volume effects can play an important role in determining transport properties in diffusion of particles. Here, the diffusion of finite-sized hard-core interacting particles in two or three dimensions is considered systematically…

Analysis of PDEs · Mathematics 2012-01-06 Maria Bruna , S. Jonathan Chapman

We generalize derivation of partition functions of the grand canonical ensemble for the multicomponent van der Waals gas of interacting particles by hardcore potentials to the case of the attractive large-distance mean field. The formulas…

High Energy Physics - Phenomenology · Physics 2019-09-19 Yaroslav Krivenko-Emetov

A new equation of state for a hot and dense hadron gas (HG) is obtained where the finite hard-core size of baryons has been incorporated in a thermodynamically consistent formulation of excluded volume correction. Our model differs from…

High Energy Physics - Phenomenology · Physics 2012-01-24 S. K. Tiwari , P. K. Srivastava , C. P. Singh

The formalism to augment the classical models of equation of state for real gases with the quantum statistical effects is presented. It allows an arbitrary excluded volume procedure to model repulsive interactions, and an arbitrary…

Nuclear Theory · Physics 2017-09-29 Volodymyr Vovchenko

The van der Waals interaction is implemented in a Hadron Resonance Gas model. It is shown that this model can describe Lattice QCD data of different thermodynamical quantities satisfactorily with the van der Waals parameters $a = 1250 \pm…

High Energy Physics - Phenomenology · Physics 2018-01-16 Subhasis Samanta , Bedangadas Mohanty

The formation of clusters in nuclear matter is investigated, which occurs e.g. in low energy heavy ion collisions or core-collapse supernovae. In astrophysical applications, the excluded volume concept is commonly used for the description…

Nuclear Theory · Physics 2011-11-24 Matthias Hempel , Jürgen Schaffner-Bielich , Stefan Typel , Gerd Röpke
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