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We study the nuclear liquid-gas phase transition on the basis of a two-component lattice gas model. A Metropolis type of sampling method is used to generate microscopic states in the canonical ensemble. The effective equation of state and…

Nuclear Theory · Physics 2009-10-31 J. Borg , I. N. Mishustin , J. P. Bondorf

Phase transitions of first and second order can easily be distinguished in small systems in the microcanonical ensemble. Configurations of phase coexistence, which are suppressed in the canonical formulation, carry important information…

Condensed Matter · Physics 2007-05-23 D. H. E. Gross , A. Ecker , X. Z. Zhang

A great many observables seen in intermediate energy heavy ion collisions can be explained on the basis of statistical equilibrium. Calculations based on statistical equilibrium can be implemented in microcanonical ensemble (energy and…

Nuclear Theory · Physics 2009-11-10 C. B. Das , S. Das Gupta , W. G. Lynch , A. Z. Mekjian , M. B. Tsang

A survey is presented summarizing the empirical evidence for and interpretations of a first-order liquid-gas phase transition in nuclear matter. Earlier developments and the present state of knowledge about the extraction of the critical…

Nuclear Theory · Physics 2026-03-17 Norbert Kaiser , Wolfram Weise

We map the mean-field Ising model equation of state onto the QCD phase diagram, and reconstruct the full coexistence region in the case of a first order phase transition. Beyond the coexistence line, we maintain access to the spinodal…

Nuclear Theory · Physics 2024-09-24 Jamie M. Karthein , Volker Koch , Claudia Ratti

In addition to signals for the critical point, evidence for a first order phase transition would indicate a nontrivial structure within the QCD phase diagram. Moreover, while not a direct measurement of the critical point, the presence of a…

Nuclear Theory · Physics 2025-11-20 Jamie M. Karthein , Volker Koch , Claudia Ratti

The present manuscript gives a theoretical description of the first-order phase transition in a cell fluid model with a modified Morse potential and additional repulsive interaction. In the framework of the grand canonical ensemble, the…

Statistical Mechanics · Physics 2019-12-03 M. P. Kozlovskii , O. A. Dobush

A general field-theoretic framework for the treatment of liquid-gas phase transitions is developed. Starting from a fundamental four-dimensional field theory at nonzero temperature and density, an effective three-dimensional field theory…

High Energy Physics - Theory · Physics 2017-04-12 Hiromichi Nishimura , Michael C. Ogilvie , Kamal Pangeni

We investigate paramagnetic metal-insulator transitions in the infinite-dimensional ionic Hubbard model at finite temperatures. By means of the dynamical mean-field theory with an impurity solver of the continuous-time quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2014-05-20 Aaram J. Kim , M. Y. Choi , Gun Sang Jeon

A generic property of a first-order phase transition in equilibrium, and in the limit of large entropy per unit of conserved charge, is the smallness of the isentropic speed of sound in the ``mixed phase''. A specific prediction is that…

The critical behavior of an MN-component order parameter Ginzburg-Landau model with isotropic and cubic interactions describing antiferromagnetic and structural phase transitions in certain crystals with complicated ordering is studied in…

Statistical Mechanics · Physics 2007-05-23 A. I. Mudrov , K. B. Varnashev

The nuclear liquid-gas transition at normal nuclear densities, $n \sim n_0 = 0.16$ fm$^{-3}$, and small temperatures, $T \sim 20$ MeV, has a large influence on analytic properties of the QCD grand-canonical thermodynamic potential. A…

High Energy Physics - Phenomenology · Physics 2020-03-25 Oleh Savchuk , Volodymyr Vovchenko , Roman V. Poberezhnyuk , Mark I. Gorenstein , Horst Stoecker

The critical thermodynamics of an $MN$-component field model with cubic anisotropy relevant to the phase transitions in certain crystals with complicated ordering is studied within the four-loop $\ve$ expansion using the minimal subtraction…

Statistical Mechanics · Physics 2009-11-07 Andrei Mudrov , Konstantin Varnashev

Lattice QCD calculations have shown that the transition from hadrons to quarks and gluons is a rapid crossover at $T = 155-160$ MeV at vanishing chemical potential. Many model calculations show that the transition is first-order at…

Nuclear Theory · Physics 2026-03-30 Joseph I. Kapusta , Shensong Wan

In a finite temperature Thomas-Fermi theory, we construct caloric curves for finite nuclei enclosed in a freeze-out volume few times the normal nuclear volume, with and without inclusion of flow. Without flow, the caloric curve indicates a…

Nuclear Theory · Physics 2009-01-23 S. K. Samaddar , J. N. De , S. Shlomo

An exact analytical solution of the statistical multifragmentation model is found in thermodynamic limit. Excluded volume effects are taken into account in the thermodynamically self-consistent way. The model exhibits a 1-st order phase…

Nuclear Theory · Physics 2007-05-23 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

A gas-liquid type of phase transition is found based on the particle dynamics on radius-$R$ circle in which the coordinate appears as the angle-variable of 1D XY-model. Due to the specific appearance of compact-space radius (volume) in the…

Statistical Mechanics · Physics 2019-12-06 Amir H. Fatollahi

We investigate the process of phase conversion in a thermally-driven {\it weakly} first-order quark-hadron transition. This scenario is physically appealing even if the nature of this transition in equilibrium proves to be a smooth…

High Energy Physics - Phenomenology · Physics 2009-07-17 A. Bessa , E. S. Fraga , B. W. Mintz

Nuclear thermodynamics studies evidenced the existence of a first order phase transition, namely of the liquid-gas type, without paying attention to the isospin degree of freedom. On the other hand, only few results with the introduction of…

Nuclear Experiment · Physics 2017-04-26 B. Borderie

We show that the presence and the location of first order phase transitions in a thermodynamic system can be deduced by the study of the topology of the potential energy function, V(q), without introducing any thermodynamic measure. In…

Statistical Mechanics · Physics 2009-11-07 L. Angelani , L. Casetti , M. Pettini , G. Ruocco , F. Zamponi