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 {\beta}= 0.35 \pm 0.01, belongs to the liquid-gas universality class. The critical compressibility factor Pc /{\rho}c Tc increases with increasing neutron number.