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This review article takes stock of the progress made in understanding the phase transition in hot nuclei and highlights the coherence of observed signatures

Nuclear Experiment · Physics 2019-03-27 B. Borderie , J. D. Frankland

The features of hot and dense gas of quarks which are considered as the quasi-particles of the model Hamiltonian with four-fermion interaction are studied. Being adapted to the Nambu-Jona-Lasinio model this approach allows us to accommodate…

High Energy Physics - Phenomenology · Physics 2015-03-19 S. V. Molodtsov , G. M. Zinovjev

We study the phase diagram and finite temperature properties of an integrable generalization of the one-dimensional super-symmetric t-J model containing interactions explicitly breaking parity-time reversal (PT) symmetries. To this purpose,…

Statistical Mechanics · Physics 2017-08-08 T. S. Tavares , G. A. P. Ribeiro

We present an overview of concepts and results obtained with statistical models in study of nuclear multifragmentation. Conceptual differences between statistical and dynamical approaches, and selection of experimental observables for…

Nuclear Theory · Physics 2009-11-11 A. S. Botvina , I. N. Mishustin

This work is an attempt to give a brief overview of the implementation of the statistical ther- modynamics to hadronic matter. The possibility to use the hydrodynamic approach for developing the physical model of the formation of exotic…

Nuclear Theory · Physics 2015-09-23 K. V. Cherevko , L. L. Jenkovszky , V. M. Sysoev , Feng-Shou Zhang

The problem of computing the thermodynamic properties of a one-dimensional gas of particles which transform in the adjoint representation of the gauge group and interact through non-Abelian electric fields is formulated and solved in the…

High Energy Physics - Theory · Physics 2009-10-30 G. Semenoff , O. Tirkkonen , K. Zarembo

Spectral properties of nuclei near the critical point of the quantum phase transition between spherical and axially symmetric shapes are studied in a hybrid collective model which combines the $\gamma$-stable and $\gamma$-rigid collective…

Nuclear Theory · Physics 2017-07-20 R. Budaca , A. I. Budaca

A general procedure for studying finite-N effects in quantum phase transitions of finite systems is presented and applied to the critical-point dynamics of nuclei undergoing a shape-phase transition of second-order (continuous), and of…

Nuclear Theory · Physics 2007-05-23 A. Leviatan

We present for the first time to the nuclear physics community the Hamiltonian Mean Field (HMF) model. The model can be solved analytically in the canonical ensemble and shows a second-order phase transition in the thermodynamic limit.…

Nuclear Theory · Physics 2009-11-06 V. Latora , A. Rapisarda

The large body of experimental data on nuclear fission is analyzed with a semi-empirical ordering scheme based on the macro-microscopic approach and the separability of compound-nucleus and fragment properties on the fission path. We apply…

Nuclear Experiment · Physics 2008-11-26 Karl-Heinz Schmidt , Aleksandra Kelic , Maria Valentina Ricciardi

The elsewhere surmised topological origin of phase transitions is given here new important evidence through the analytic study of an exactly solvable model for which both topology and thermodynamics are worked out. The model is a mean-field…

Statistical Mechanics · Physics 2009-11-10 Luca Angelani , Lapo Casetti , Marco Pettini , Giancarlo Ruocco , Francesco Zamponi

A prescription to incorporate the effects of nuclear flow on the process of multifragmentation of hot nuclei is proposed in an analytically solvable canonical model. Flow is simulated by the action of an effective negative external…

Nuclear Theory · Physics 2009-11-10 S. K. Samaddar , J. N. De , S. Shlomo

We discuss an exact analytical solution of a simplified version of the statistical multifragmentation model with the restriction that the largest fragment size cannot exceed the finite volume of the system. A complete analysis of the…

Nuclear Theory · Physics 2007-05-23 Kyrill A. Bugaev

We analyze thermodynamic models for fluid systems in equilibrium based on a virial expansion of the internal energy in terms of the volume density. We prove that the models, formulated for finite-size systems with $N$ particles, are exactly…

Statistical Mechanics · Physics 2026-04-21 Xin An , Francesco Giglio , Giulio Landolfi

We investigate the thermodynamical properties of nuclear matter in heavy ion collisions, in particular with respect to questions of thermodynamical instability, phase transitions and fragmentation. For this we analyze results of…

Nuclear Theory · Physics 2007-05-23 T. Gaitanos , H. H. Wolter , C. Fuchs

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…

Nuclear Theory · Physics 2008-11-26 K. C. Chase , A. Z. Mekjian , P. Meenakshisundaram

From sand piles to electrons in metals, one of the greatest challenges in modern physics is to understand the behavior of an ensemble of strongly interacting particles. A class of quantum many-body systems such as neutron matter and cold…

Quantum Gases · Physics 2010-06-01 Sylvain Nascimbène , Nir Navon , Kaijun Jiang , Frédéric Chevy , Christophe Salomon

The dynamics at the critical-point of a general first-order quantum phase transition in a finite system is examined, from an algebraic perspective. Suitable Hamiltonians are constructed whose spectra exhibit coexistence of states…

Nuclear Theory · Physics 2014-11-18 A. Leviatan

More than two decades ago, the van der Waals behavior of the nucleon - nucleon force inspired the idea of a liquid-gas phase transition in nuclear matter. Heavy-ion reactions at relativistic energies offer the unique possibility for…

Nuclear Experiment · Physics 2007-05-23 J. Pochodzalla , ALADIN collaboration

Saturation properties and liquid-gas phase transition of nucleus are analysed in the framework of Hatree-Fock theory. We modify Hill-Wheller formula with a finite-size-effect parameter by fitting the zero-temperature properties of nucleus.…

Nuclear Theory · Physics 2007-05-23 Fu-Guang Cao , Shan-de Yang