Strange matter lumps formed in the early Universe

Strange matter lumps are supposed to be formed during the quark-hadron coexistence period at the critical temperature ${\mathit{T}}_{\mathit{c}}$. An important mechanism by which these lumps may be dissolved as the temperature goes down is boiling. However, boiling can occur only if the quark chemical potentials in the strange matter lumps become smaller than some critical values at which quark and hadron matter are in equilibrium. We calculate how the equilibrium conditions vary as the temperature drops from ${\mathit{T}}_{\mathit{c}}$ to almost zero and discuss how the chemical potential and/or pressure within the strange matter lumps may be maintained above the equilibrium value to avoid boiling. Our calculation shows, however, that a gravitationally stable system consisting of a strange matter lump and a hadron shell surrounding it has to contain an unreasonably large number of baryons for the strange matter lump to avoid boiling.