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##### Warm unstable asymmetric nuclear matter: critical properties and the density dependence of the symmetry energy

**Authors**: N. Alam, H. Pais, C. ProvidÃªncia, B. K. Agrawal

**Ref.**: Phys. Rev. C **95**, 055808 (2017)

**Abstract**: The spinodal instabilities in hot asymmetric nuclear matter and some important critical parameters derived thereof are studied using six different families of relativistic mean-field (RMF) models. The slopes of the symmetry energy coefficient vary over a wide range within each family. The critical densities and proton fractions are more sensitive to the symmetry energy slope parameter at temperatures much below its critical value (Tcâˆ¼14-16 MeV). The spread in the critical proton fraction at a given symmetry energy slope parameter is noticeably larger near Tc, indicating that the warm equation of state of asymmetric nuclear matter at sub-saturation densities is not sufficiently constrained. The distillation effects are sensitive to the density dependence of the symmetry energy at low temperatures which tend to wash out with increasing temperature.

**DOI**: 10.1103/PhysRevC.95.055808

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