Studies in the statistical and thermal properties of hadronic matter under some extreme conditions

Abstract

The thermal and statistical properties of hadronic matter under some extreme conditions are investigated using an exactly solvable canonical ensemble model. A unified model describing both the fragmentation of nuclei and the thermal properties of hadronic matter is developed. Simple expressions are obtained for quantities such as the hadronic equation of state, specific heat, compressibility, entropy, and excitation energy as a function of temperature and density. These expressions encompass the fermionic aspect of nucleons, such as degeneracy pressure and Fermi energy at low temperatures and the ideal gas laws at high temperatures and low density. Expressions are developed which connect these two extremes with behavior that resembles an ideal Bose gas with its associated Bose condensation. In the thermodynamic limit, an infinite cluster exists below a certain critical condition in a manner similar to the sudden appearance of the infinite cluster in percolation theory. The importance of multiplicity fluctuations is discussed and some recent data from the EOS collaboration on critical point behavior of nuclei can be accounted for using simple expressions obtained from the model.

arXiv comment22 pages, revtex, includes 6 figures, submitted to Phys. Rev. C

References in corpus (5)

• A unified description for nuclear equation of state and fragmentation in heavy ion collisions
• Nuclear Fragmentation and Its Parallels
• Heated nuclear matter, condensation phenomena and the hadronic equation of state
• Critical point multiplicities and multiplicity fluctuations in heavy ion collisions
• Coalescence, Percolation and Nuclear Multifragmentation

Cited by in corpus (1)

• Multifragmentation and the Phase Transition: A Systematic Study of the MF of 1A GeV Au, La, and Kr