Density and Temperature of Fermions from Quantum Fluctuations

Abstract

A novel method to determine the density and temperature of a system is proposed based on quantum fluctuations typical of Fermions in the limit where the reached temperature T is small compared to the Fermi energy ${\epsilon }_f$ at a given density $\rho$. Quadrupole and particle multiplicity fluctuations relations are derived in terms of $\frac{T}{{\epsilon }_f}$. This method is valid for infinite and finite fermionic systems, in particular we apply it to heavy ion collisions using the Constrained Molecular Dynamics (CoMD) approach which includes the Fermi statistics. A preliminary comparison to available experimental data is discussed as well. We stress the differences with methods based on classical approximations. The derived 'quantum' temperatures are systematically lower than the corresponding 'classical' ones. With the proposed method we may get important informations on the Equation of State (EOS) of quantum Fermi systems to order O($\frac{T}{{\epsilon }_f}{)}^3$, in particular near the Liquid-Gas (LG) phase transition and at very low densities where quantum effects are dominant.

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Cited by in corpus (30)

• Laboratory Tests of Low Density Astrophysical Equations of State
• The many facets of the (non relativistic) Nuclear Equation of State
• Liquid-Gas phase transition in nuclei
• Experimental Determination of In-Medium Cluster Binding Energies and Mott Points in Nuclear Matter
• The Nuclear Matter Symmetry Energy at $0.03\le \rho /{\rho }_0\le 0.2$
• The equation of state and symmetry energy of low density nuclear matter
• Asymmetry Dependence of the Nuclear Caloric Curve
• Using Light Charged Particles to Probe the Asymmetry Dependence of the Nuclear Caloric Curve
• Density and Temperature of Bosons from Quantum Fluctuations
• Temperature determined by isobaric yield ratio in heavy-ion collisions
• Phase transition dynamics for hot nuclei
• Higher Order Corrections to Density and Temperature of Fermions from Quantum Fluctuations
• Shear viscosity of nucleonic matter
• Signals of Bose Einstein condensation and Fermi quenching in the decay of hot nuclear systems
• Shear viscosity to entropy density ratio in the Boltzmann-Uehling-Uhlenbeck model
• Density determinations in heavy ion collisions
• Primary Isotope Yields and Characteristic Properties of the Fragmenting Source in Heavy-ion Reactions near the Fermi Energies
• Thermal and transport properties in central heavy-ion reactions around a few hundred MeV/nucleon
• Constrained caloric curves and phase transition for hot nuclei
• Coulomb corrections to density and temperature of bosons in heavy ion collisions
• Mean free path and shear viscosity in central ${}^{129}$Xe+${}^{119}$Sn collisions below 100 MeV/nucleon
• Coulomb corrections to density and temperature in heavy ion collisions
• Improved Thermometer from Intermediate Mass Fragments in Heavy-Ion Collisions with Isobaric Yield Ratio Difference
• Critical Scaling of Two-component Systems from Quantum Fluctuations
• Competition between fermions and bosons in nuclear matter at low densities and finite temperatures
• Novel technique to extract experimental symmetry free energy information of nuclear matter
• Non-Abelian behavior of $\alpha$ Bosons in cold symmetric nuclear matter
• Density and Temperature in Heavy Ion Collisions: A Test of Classical and Quantum Approaches
• Coulomb field correction due to virtual $e^{+}{e}^{-}$ production in heavy ion collisions
• The behaviour of constrained caloric curves as ultimate signature of a phase transition for hot nuclei