Evolution of Quasiperiodic Structures in a Non-Ideal Hydrodynamic Description of Phase Transitions

Abstract

Various phase transitions could have taken place in the early Universe, and may occur in the course of heavy-ion collisions and supernova explosions, in proto-neutron stars, cold compact stars, and in the condensed matter at terrestrial conditions. Most generally, the dynamics of the density and temperature at first-and second-order phase transitions can be described with the help of the equations of non-ideal hydrodynamics. In the given work some novel solutions are found describing the evolution of quasiperiodic structures that are formed in the course of the phase transitions. Although this consideration is very general, particular examples of quark-hadron and nuclear liquid-gas first-order phase transitions to the uniform k 0 = 0 state and pion condensate second-order phase transition to non-uniform k 0 = 0 state in dense baryon matter are considered.

Traces of Anisotropic Quasi-Regular Structure in the SDSS Data

“…It is quite likely, as suggested in [30], that the origin of anisotropic quasi-regular structures is associated with phase transitions during the inflation epoch or immediately after it. A possible way of solving the problem of the emergence of quasi-periodic structures in the early Universe was indicated in a recent work [67].…”