Effective interaction dependence of the liquid-gas phase transition in symmetric nuclear matter
arXiv:1002.1907 · doi:10.1016/j.nuclphysa.2010.05.057
Abstract
The liquid-gas phase transition for homogeneous symmetric nuclear matter is studied in the mean-field approximation. Critical properties are computed using a comprehensive group of Skyrme and Gogny forces in an effort to elucidate the effective interaction dependence of the results. Analytical models for the thermodynamical and critical properties are discussed and compared to an extensive set of mean-field data. In agreement with these models, a tight correlation is found between the flashing and the critical points. Accurate predictions for the critical temperature, based on saturation properties, can only be obtained after the density dependence of the effective mass is properly taken into account. While the thermodynamical properties coming from different mean-fields do not follow a law of corresponding states, the critical exponents for all the mean-fields have been found to be the same. Their values coincide with those predicted by the Landau mean-field theory of critical phenomena.
43 pages, 10 figures, 2 tables; added figure and references; revised manuscript for publication
References in corpus (27)
- Determination of the Equation of State of Dense Matter
- Composition and thermodynamics of nuclear matter with light clusters
- Skyrme-Hartree-Fock-Bogoliubov nuclear mass formulas: Crossing the 0.6 MeV threshold with microscopically deduced pairing
- Isotopic Scaling in Nuclear Reactions
- Caloric curves and critical behavior in nuclei
- Symmetry Energy I: Semi-Infinite Matter
- Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
- The liquid to vapor phase transition in excited nuclei
- From Brueckner Approach to Skyrme-type Energy Density Functional
- Limiting temperatures and the Equation of State of Nuclear Matter
- Why is Tin so soft?
- Role of isospin in the nuclear liquid-gas phase transition
- Isotopic Dependence of the Nuclear Caloric Curve
- Event-by-Event Analysis of Proton-Induced Nuclear Multifragmentation: Determination of Phase Transition Universality-Class in System with Extreme Finite-Size Constraints
- Liquid-gas phase transition in nuclear matter from realistic many-body approaches
- An exact stochastic mean-field approach to the fermionic many-body problem
- The Caloric Curve for Mononuclear Configurations
- Thermodynamic properties of nuclear matter with three-body forces
- Second Order Phase Transitions : From Infinite to Finite Systems
- Isospin fractionation : equilibrium versus spinodal decomposition
- Nuclear liquid-gas phase transition and supernovae evolution
- Ferromagnetic instabilities in neutron matter at finite temperature with the Gogny interaction
- Comparison of dynamical multifragmentation models
- Limiting temperature from microscopic equation of state
- The Statistical Multifragmentation Model with Skyrme Effective Interactions
- Mass and Isotope Dependence of Limiting Temperatures for Hot Nuclei
- Effective nucleon mass and the nuclear caloric curve
Cited by in corpus (25)
- Nuclear chiral dynamics and thermodynamics
- Scaled variance, skewness, and kurtosis near the critical point of nuclear matter
- Isovector properties of the Gogny interaction
- Statistical description of complex nuclear phases in supernovae and proto-neutron stars
- Chiral thermodynamics of nuclear matter
- Equations of state for hot neutron stars -- II. The role of exotic particle degrees of freedom
- Equations of state for real gases on the nuclear scale
- Microscopic predictions of the nuclear matter liquid-gas phase transition
- Strangeness-driven phase transition in (proto)- neutron star matter
- Critical parameters of liquid-gas phase transition in thermal symmetric and asymmetric nuclear matter
- Liquid-gas phase transition in hot asymmetric nuclear matter with density-dependent relativistic mean-field models
- Correlations between critical parameters and bulk properties of nuclear matter
- Ensemble in-equivalence in supernova matter within a simple model
- Latent heat of nuclear matter
- Phase diagram of neutron-rich nuclear matter and its impact on astrophysics
- Influence of spin polarizability on liquid gas phase transition in the nuclear matter
- Hot magnetized nuclear matter: Thermodynamic and Saturation Properties
- Covariance analysis of finite temperature density functional theory: symmetric nuclear matter
- Properties of hot finite nuclei and associated correlations with infinite nuclear matter
- Some aspects of the phase diagram of nuclear matter relevant to compact stars
- New {\em ab initio} constrained extended Skyrme equations of state for simulations of neutron stars, supernovae and binary mergers: I. Subsaturation density domain
- Analysis of critical parameters for nonrelativistic models in symmetric nuclear matter
- Neutron-rich nuclei and the equation of state of stellar matter
- Correlations between nuclear incompressibility, liquid-gas critical point, and quarkyonic transition
- Thermal liquid-gas phase transition in a quasi-one-dimensional dipolar Fermi gas