D. V. Anchishkin

Scaled variance, skewness, and kurtosis near the critical point of nuclear matter

The van der Waals (VDW) equation of state predicts the existence of a first-order liquid-gas phase transition and contains a critical point. The VDW equation with Fermi statistics is applied to a description of the nuclear matter. The nucleon number fluctuations near the critical point of nuclear matter are studied. The scaled variance, skewness, and kurtosis diverge at the critical point. It is found that the crossover region of the phase diagram is characterized by the large values of the scaled variance, the almost zero skewness, and the significantly negative kurtosis. The rich structures of the skewness and kurtosis are observed in the phase diagram in the wide region around the critical point, namely, they both may attain large positive or negative values.

Hadron resonance gas equation of state from lattice QCD

The Monte Carlo results in lattice QCD for the pressure and energy density at small temperature

Van der Waals equation of state with Fermi statistics for nuclear matter

T < 155

Particle number fluctuations for the van der Waals equation of state

MeV and zero baryonic chemical potential are analyzed within the hadron resonance gas model. Two extensions of the ideal hadron resonance gas are considered: the excluded volume model which describes a repulsion of hadrons at short distances and Hagedorn model with the exponential mass spectrum. Considering both of these models one by one we do not find the conclusive evidences in favor of any of them. The controversial results appear because of rather different sensitivities of the pressure and energy density to both excluded volume and Hagedorn mass spectrum effects. On the other hand, we have found a clear evidence for a simultaneous presence of both of them. They lead to rather essential contributions: suppression effects for thermodynamical functions of the hadron resonance gas due to the excluded volume effects and enhancement due to the Hagedorn mass spectrum.

Longitudinal fluctuations of the center of mass of the participants in heavy-ion collisions

The van der Waals (VDW) equation of state is a simple and popular model to describe the pressure function in equilibrium systems of particles with both repulsive and attractive interactions. This equation predicts an existence of a first-order liquid-gas phase transition and contains a critical point. Two steps to extend the VDW equation and make it appropriate for new physical applications are carried out in this paper: 1) the grand canonical ensemble formulation; 2) an inclusion of the quantum statistics. The VDW equation with Fermi statistics is then applied to a description of the system of interacting nucleons. The VDW parameters

Mean-field approach in the multi-component gas of interacting particles applied to relativistic heavy-ion collisions

a

A new approach to time-dependent transport through an interacting quantum dot within the Keldysh formalism

and

Quantum van der Waals and Walecka models of nuclear matter

b

Pionic Freeze-out Hypersurfaces in Relativistic Nucleus-Nucleus Collisions

are fixed to reproduce the properties of nuclear matter at saturation density

Limiting temperature of pion gas with the van der Waals equation of state

n_0=0.16