Higher Order Corrections to Density and Temperature of Fermions from Quantum Fluctuations

Abstract

A novel method to determine the density and temperature of a system based on quantum Fermionic fluctuations is generalized to the limit where the reached temperature T is large compared to the Fermi energy εf . Quadrupole and particle multiplicity fluctuations relations are derived in terms of T . The relevant Fermi integrals are numerically solved for any values of T and compared to the analytical approximations. The classical limit is obtained, as expected, in the limit of large temperatures and small densities. We propose simple analytical formulas which reproduce the numerical results, valid for all values of T . The entropy can also be easily derived from quantum fluctuations and give important insight for the behavior of the system near a phase transition. A comparison of the quantum entropy to the entropy derived from the ratio of the number of deuterons to neutrons gives a very good agreement especially when the density of the system is very low.

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Cited by in corpus (15)

• The many facets of the (non relativistic) Nuclear Equation of State
• Signals of Bose Einstein condensation and Fermi quenching in the decay of hot nuclear systems
• Thermal and transport properties in central heavy-ion reactions around a few hundred MeV/nucleon
• Alpha Conjugate Neck Structures in the Collisions of 35 MeV/nucleon 40Ca with 40Ca
• Constrained caloric curves and phase transition for hot nuclei
• Iso-vector dipole resonance and shear viscosity in low energy heavy-ion collision
• 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
• 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
• Density and Temperature in Heavy Ion Collisions: A Test of Classical and Quantum Approaches
• Many-particle correlations and Coulomb effects on temperatures from fragment momentum fluctuations
• Violent Nuclear Reactions: Large-Amplitude Nuclear Dynamic Phenomena in Fermionic Systems