The statistical multifragmentation model for liquid-gas phase transition with a compressible nuclear liquid

Abstract

We propose a new formulation of the statistical multifragmentation model based on the analysis of the virial expansion for a system of the nuclear fragments of all sizes. The developed model not only enables us to account for short-range repulsion, but also to calculate the surface free energy which is induced by the interaction between the fragments. We propose a new parameterization for the liquid phase pressure which allows us to introduce a compressible nuclear liquid into the statistical multifragmentation model. The resulting model is exactly solvable and has no irregular behavior of the isotherms in the mixed phase region that is typical for mean-field models. The general conditions for the 1-st and 2-nd (or higher) order phase transitions are formulated. It is shown that all endpoints of the present model phase diagram are the tricritical points, if the Fisher exponent $\tau$ is in the range $\{3}{2} \le τ\le 2$. The treatment of nuclear liquid compressibility allows us to reduce the tricritical endpoint density of the statistical multifragmentation model to one third of the normal nuclear density. A specific attention is paid to of the fragment size distributions in the region of a negative surface tension at supercritical temperatures.

22 pages, 8 figures

References in corpus (12)

• Nuclear multifragmentation and phase transition for hot nuclei
• Bulk Viscosity driven clusterization of quark-gluon plasma and early freeze-out in relativistic heavy-ion collisions
• A comparative study of statistical models for nuclear equation of state of stellar matter
• Correlations and Characterization of Emitting Sources
• The role of superfluidity in nuclear incompressibilities
• Quark-Gluon Bags with Surface Tension
• The Van-der-Waals Gas EOS for the Lorentz Contracted Spheres
• Quark Gluon Bags as Reggeons
• Exactly Solvable Model for the QCD Tricritcal Endpoint
• Possible links between the liquid-gas and deconfinement-hadronization phase transitions
• Is bimodality a sufficient condition for a first order phase transition existence?
• Can We Rigorously Define Phases in a Finite System?

Cited by in corpus (41)

• Equations of state for supernovae and compact stars
• Bosonic Dark Matter in Neutron Stars and its Effect on Gravitational Wave Signal
• Neutron stars: new constraints on asymmetric dark matter
• Asteroseismology: radial oscillations of neutron stars with realistic equation of state
• Hadron Resonance Gas Model with Induced Surface Tension
• Rapid neutron star cooling triggered by dark matter
• The Flow Constraint Influence on the Properties of Nuclear Matter Critical Endpoint
• The induced surface tension contribution for the equation of state of neutron stars
• Effect of a magnetic field on the thermodynamic properties of a high-temperature hadron resonance gas with van der Waals interactions
• The impact of asymmetric dark matter on the thermal evolution of nucleonic and hyperonic compact stars
• Embedding short-range correlations in relativistic density functionals through quasi-deuterons
• Neutron stars meet constraints from high and low energy nuclear physics
• Hard-core Radius of Nucleons within the Induced Surface Tension Approach
• Self-consistent Treatment of Quantum Gases of D-dimensional Hard Spheres Beyond the Van der Waals Approximation
• Second virial coefficients of light nuclear clusters and their chemical freeze-out in nuclear collisions
• Effects of Induced Surface Tension in Nuclear and Hadron Matter
• Rapidly spinning dark matter-admixed neutron stars
• Finite size effects on the phase diagram of the thermodynamical cluster model
• Effects of finite size and symmetry energy on the phase transition of stellar matter at subnuclear densities
• On separate chemical freeze-outs of hadrons and light (anti)nuclei in high energy nuclear collisions
• Neutron stars: A novel equation of state with induced surface tension
• RMF models with $\sigma$-scaled hadron masses and couplings for description of heavy-ion collisions below 2A GeV
• Alternative Formulation of the Induced Surface and Curvature Tensions Approach
• The concept of induced surface and curvature tensions and a unified description of the gas of hard discs and hard spheres
• Induced surface and curvature tension equation of state for hadron resonance gas in finite volumes and its relation to morphological thermodynamics
• Resolution of hyper-triton chemical freeze-out puzzle in high energy nuclear collisions
• Thermal production of sexaquarks in heavy-ion collisions
• Neutron star cooling within the equation of state with induced surface tension
• Tidal Deformability as a Probe of Dark Matter in Neutron Stars
• Physical properties of Polyakov loop geometrical clusters in SU(2) gluodynamics
• On relation between bulk, surface and curvature parts of nuclear binding energy within the model of hexagonal clusters
• Classical excluded volumes of loosely bound light (anti)nuclei and their chemical freeze-out in heavy ion collisions
• Bose-Einstein Condensation of Quantum Hard-Spheres as a Deposition Phase Transition and New Relations Between Bosonic and Fermionic Pressures
• Equation of state based on the first principles
• Probing the tricritical endpoint of QCD phase diagram at NICA-FAIR energies
• Chemical freeze-out of light nuclei in high energy nuclear collisions and resolution of the hyper-triton chemical freeze-out puzzle
• Statistical Multifragmentation Model Within the Extended Morphological Thermodynamics Approach
• Induced surface and curvature tensions equation of state of hard spheres and its virial coefficients
• Geometrical clusterization of Polyakov loops in SU(2) lattice gluodynamics
• Bimodality Phenomenon in Finite and Infinite Systems Within an Exactly Solvable Statistical Model
• Induced Surface and Curvature Tensions Equation of State of Hadrons with Relativistic Excluded Volumes and its Relation to Morphological Thermodynamics