Critical Scaling of Two-component Systems from Quantum Fluctuations

Abstract

The thermodynamics of excited nuclear systems allows one to explore the second-order phase transition in a two-component quantum mixture. Temperatures and densities are derived from quantum fluctuations of fermions. The pressures are determined from the grand partition function of Fisher's model. Critical scaling of observables is found for systems which differ in neutron to proton concentrations thus constraining the equation of state of asymmetric nuclear matter. The derived critical exponent β= 0.35 \pm 0.01, belongs to the liquid-gas universality class. The critical compressibility factor Pc /ρc Tc increases with increasing neutron number.

11 pages, 4 figures

References in corpus (14)

• Laboratory Tests of Low Density Astrophysical Equations of State
• Experimental Determination of In-Medium Cluster Binding Energies and Mott Points in Nuclear Matter
• Density and Temperature of Fermions from Quantum Fluctuations
• Bimodality: a possible experimental signature of the liquid-gas phase transition of nuclear matter
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• Asymmetry Dependence of the Nuclear Caloric Curve
• Chemical and mechanical instability in warm and dense nuclear matter
• Using Light Charged Particles to Probe the Asymmetry Dependence of the Nuclear Caloric Curve
• Higher Order Corrections to Density and Temperature of Fermions from Quantum Fluctuations
• Density determinations in heavy ion collisions
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Cited by in corpus (5)

• The many facets of the (non relativistic) Nuclear Equation of State
• The equation of state and symmetry energy of low density nuclear matter
• Coulomb corrections to density and temperature in heavy ion collisions
• 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