Equation of State and Phase Transitions in the Nuclear and Hadronic Systems

Abstract

An investigation of strongly interacting matter equation of state remains one of the major tasks of modern high energy nuclear physics for almost a quarter of century. The present work is my doctor of science thesis which contains my contribution (42 works) to this field made between 1993 and 2008. Inhere I mainly discuss the common physical and mathematical features of several exactly solvable statistical models which describe the nuclear liquid-gas phase transition and the deconfinement phase transition. Luckily, in some cases it was possible to rigorously extend the solutions found in thermodynamic limit to finite volumes and to formulate the finite volume analogs of phases directly from the grand canonical partition. It turns out that finite volume (surface) of a system generates also the temporal constraints, i.e. the finite formation/decay time of possible states in this finite system. Among other results I would like to mention the calculation of upper and lower bounds for the surface entropy of physical clusters within the Hills and Dales model; evaluation of the second virial coefficient which accounts for the Lorentz contraction of the hard core repulsing potential between hadrons; inclusion of large width of heavy quark-gluon bags into statistical description. I believe that the suggested mathematical solution of the freeze-out problem in relativistic hydrodynamic model and in hydro-cascade model has not only an academic interest, but also has some practical value. In addition I hope that the experience gained in working out some partly successful signals of deconfinement transition can be useful for other researchers to go further in this direction.

arXiv commentDoctor of science thesis, 342 pages, 55 figures

References in corpus (96)

• Microscopic Models for Ultrarelativistic Heavy Ion Collisions
• Determination of the Equation of State of Dense Matter
• Thermal phenomenology of hadrons from 200 AGeV S+S collisions
• Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
• Comparison of Chemical Freeze-Out Criteria in Heavy-Ion Collisions
• Hadron production in heavy ion collisions: Fragmentation and recombination from a dense parton phase
• Chemical Equilibration in Pb+Pb Collisions at the SPS
• Phase Transitions in Warm, Asymmetric Nuclear Matter
• Features of particle multiplicities and strangeness production in central heavy ion collisions between 1.7A and 158A GeV/c
• Saturation of Elliptic Flow and the Transport Opacity of the Gluon Plasma at RHIC
• The LPM effect in QCD and Radiative energy loss in a quark-gluon plasma
• Towards a Theory of Binary Bound States in the Quark-Gluon Plasma
• Relativistic Hydrodynamics for Heavy--Ion Collisions -- I. General Aspects and Expansion into Vacuum
• Dynamics of Hot Bulk QCD Matter: from the Quark-Gluon Plasma to Hadronic Freeze-Out
• Hydrodynamics near the QCD Phase Transition: Looking for the Longest-Lived Fireball
• Thermal versus Direct $J/\Psi$ Production in Ultrarelativistic Heavy-Ion Collisions
• Evidence of early multi-strange hadron freeze-out in high energy nuclear collisions
• Elliptic Flow and HBT in non-central Nuclear Collisions
• Rethinking the Properties of the Quark-Gluon Plasma at $T\sim T_c$
• Excluded volume hadron gas model for particle number ratios in A+A collisions
• Chiral Lagrangian for strange hadronic matter
• J/Psi Suppression in Pb-Pb Collisions: A Hint of Quark-Gluon Plasma Production?
• Hydrodynamical evolution near the QCD critical end point
• Equation of State, Radial Flow and Freeze-out in High Energy Heavy Ion Collisions
• Statistical Coalescence Model with Exact Charm Conservation
• The analysis of particle multiplicities in Pb+Pb collisions at 158A GeV/c within hadron gas models
• Statistical hadronisation model and transverse momentum spectra of hadrons in high energy collisions
• New Solutions to Covariant Non-equilibrium Dynamics
• Where is the chiral critical point in 3-flavor QCD?
• A study of the phase transition in the usual statistical model for nuclear multifragmentation
• The Gibbs-Thomson formula at small island sizes - corrections for high vapour densities
• Fluctuations of string tension and transverse mass distribution
• String Clustering and J/Psi Suppression in Nuclear Collisions
• Quark-Gluon Plasma Freeze-Out from a Supercooled State?
• Equation of State, Spectra and Composition of Hot and Dense Infinite Hadronic Matter in a Microscopic Transport Model
• Strange particle production at RHIC in a single-freeze-out model
• Shock-like Freeze-out in Relativistic Hydrodynamics
• Update of the Hagedorn mass spectrum
• Transverse Activity of Kaons and the Deconfinement Phase Transition in Nucleus--Nucleus Collisions
• A unified description for nuclear equation of state and fragmentation in heavy ion collisions
• What do lattice baryonic susceptibilities tell us about quarks, diquarks and baryons at $T>Tc$?
• On the Early Stage of Nucleus--Nucleus Collisions
• Hadronic Modes and Quark Properties in the Quark-Gluon Plasma
• Fluctuations and Deconfinement Phase Transition in Nucleus-Nucleus Collisions
• Generalized scaling of the transverse mass spectrum at the Relativistic Heavy-Ion Collider
• Isospin and symmetry energy effects on nuclear fragment production in liquid-gas type phase transition region
• Topology of event distribution as a generalized definition of phase transitions in finite systems
• Freeze out in hydrodynamical models
• Critical Temperature for the Nuclear Liquid-Gas Phase Transition
• Cnstructing the phase diagram of finite neutral nuclear matter
• Meson Spectral Functions at finite Temperature
• Fluctuations of Strangeness and Deconfinement Phase Transition in Nucleus-Nucleus Collisions
• Strangeness and Particle Freeze-out in Nuclear Collisions at 14.6 Gev a
• Pre-Equilibrium Particle Emission and Critical Exponent Analysis
• Van der Waals Excluded Volume Model of Multicomponent Hadron Gas
• Non-ideal Particle Distributions from Kinetic Freeze Out Models
• Quantum Statistical Correlations for Slowly Expanding Systems
• Lattice gas model for fragmentation: From Argon on Scandium to Gold on Gold
• Microscopic study of freeze-out in relativistic heavy ion collisions at SPS energies
• Thermal excitation of heavy nuclei with 5-15 GeV/c antiproton, proton and pion beams
• The complement: a solution to liquid drop finite size effects in phase transitions
• Chemical equilibration due to heavy Hagedorn states
• Temperature and energy partition in fragmentation
• Quark-Gluon Bags with Surface Tension
• Evidence for hadronic deconfinement in $\bar{p}$-p collisions at 1.8 TeV
• Critical Exponents of the Statistical Multifragmentation Model
• Relativistic Kinetic Equations for Finite Domains and Freeze-out Problem
• The Van-der-Waals Gas EOS for the Lorentz Contracted Spheres
• Freeze-out in hydrodynamical models in relativistic heavy ion collisions
• Negative heat capacities and first order phase transitions in nuclei
• Scaling in the Lattice Gas Model
• Energy dependence of transverse mass spectra of kaons produced in p+p and p+pbar interactions.A compilation
• Hadronic Spectral Functions above the QCD Phase Transition
• Does the quark-gluon plasma contain stable hadronic bubbles?
• An investigation of standard thermodynamic quantities as determined via models of nuclear multifragmentation
• Surface Partition of Large Fragments
• Soft Physics in STAR
• Compound nuclear decay and the liquid to vapor phase transition: a physical picture
• Nuclear Multifragmentation Critical Exponents
• Power Law in Hadron Production
• Inverse Slope Systematics in High-Energy p+p and Au+Au Reactions
• The resistible effects of Coulomb interaction on nucleus-vapor phase coexistence
• Exactly Solvable Model for the QCD Tricritcal Endpoint
• Finite size effects and the order of a phase transition in fragmenting nuclear systems
• Hadron Spectra and QGP Hadronization in Au+Au Collisions at RHIC
• Boundary Conditions of the Hydro-Cascade Model and Relativistic Kinetic Equations for Finite Domains
• Hadron production from resonance decay in relativistic collisions
• Specific heat at constant volume in the thermodynamic model
• Bubble Free Energy in Cosmological Phase Transitions
• Time dependence of critical behavior in multifragmentation
• On final conditions in high energy heavy ion collisions
• The canonical effect in statistical models for relativistic heavy ion collisions
• Particle Freeze-out in Self-Consistent Relativistic Hydrodynamics
• Exactly Soluble Models for Surface Partition
• Statistical hadronization and hadronic microcanonical ensemble II
• Discontinuities in Relativistic Hydrodynamics Across Space-like and Time-like Hypersurfaces