The phase structure of symmetric nuclear matter in the extended Nambu-Jona-Lasinio (ENJL) model is studied by means of the effective potential in the one-loop approximation. It is found that chiral symmetry gets restored at high nuclear density and a typical first-order phase transition of the liquid-gas transition occurs at zero temperature, T = 0, which weakens as T grows and eventually ends up with a second-order critical point at T = 20 MeV. This phase transition scenario is confirmed by investigating the evolution of the effective potential versus the effective nucleon mass and the equation of state.
The phase structure of symmetric nuclear matter in the extended Nambu-Jona-Lasinio (ENJL) model at finite baryon chemical potential μ B and temperature T is studied by means of the effective potential in the one-loop approximation. It is found that chiral symmetry gets restored at high nuclear density and a typical first-order phase transition between liquid and gas occurs at zero temperature, T = 0, which weakens as T grows and eventually ends up with a critical point at T 18 MeV. This phase transition scenario is confirmed by investigating the evolution of the effective potential as a function of effective nucleon mass and the equation of state. The restoration of chiral symmetry gives a second-order phase transition in the region 0 T 171 MeV and a first-order transition in the region T
The finite-size effects in two segregated Bose-Einstein condensates (BECs) restricted by a hard wall is studied by means of the Gross-Pitaevskii equations in the double-parabola approximation (DPA). Starting from the consistency between the boundary conditions (BCs) imposed on condensates in confined geometry and in the full space, we find all possible BCs together with the corresponding condensate profiles and interface tensions. We discover two finite-size effects: a) The ground state derived from the Neumann BC is stable whereas the ground states derived from the Robin and Dirichlet BCs are unstable. b) Thereby, there equally manifest two possible wetting phase transitions originating from two unstable states. However, the one associated with the Robin BC is more favourable because it corresponds to a smaller interface tension.
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