Spinodal phase separation in relativistic nuclear collisions

TL;DR

This paper investigates the potential for spinodal phase separation during relativistic nuclear collisions by analyzing density fluctuations within dissipative fluid dynamics, considering viscosity, heat conduction, and a two-phase equation of state.

Contribution

It introduces a comprehensive relativistic fluid dynamic model including heat conduction and gradient terms to study spinodal amplification in nuclear collisions.

Findings

Spinodal amplification can be significant under certain collision conditions.

Proper tuning of collision energy enhances the likelihood of phase separation.

The study provides a framework for predicting phase separation in relativistic nuclear matter.

Abstract

The spinodal amplification of density fluctuations is treated perturbatively within dissipative fluid dynamics for the purpose of elucidating the prospects for this mechanism to cause a phase separation to occur during a relativistic nuclear collision. The present study includes not only viscosity but also heat conduction (whose effect on the growth rates is of comparable magnitude but opposite), as well as a gradient term in the local pressure, and the corresponding dispersion relation for collective modes in bulk matter is derived from relativistic fluid dynamics. A suitable two-phase equation of state is obtained by interpolation between a hadronic gas and a quark-gluon plasma, while the transport coefficients are approximated by simple parametrizations that are suitable at any degree of net baryon density. We calculate the degree of spinodal amplification occurring along specific dynamical phase trajectories characteristic of nuclear collision at various energies. The results bring out the important fact that the prospects for spinodal phase separation to occur can be greatly enhanced by careful tuning of the collision energy to ensure that the thermodynamic conditions associated with the maximum compression lie inside the region of spinodal instability.