| Superconductivity is one of the most important problems in the last century,especially the high-temperature superconductivity problem involving strong coupling.In generally,the strong coupling system is not easy to deal with directly,but the gauge gravity duality theory provides a new research method for the strong coupling problem.Holographic s-wave superconductor model,holographic p-wave superconductor model and multiple order parameter holographic superconductor model have become the research hot issue.In this thesis,I will take my work during my master’s degree as an example.The superconducting phase transition and its dynamics in the holographic s+p superconductor model with s-wave and p-wave order parameters are described in detail.We have studied homogeneous equilibrium superconducting phase transitions,and have studied nonhomogeneous nonequilibrium superconducting phase transitions,which are compared and analyzed in detail with those in the holographic s-wave superconductor model or holographic p-wave superconductor model in the probe limit.We have realized the typical phase regression and other types of phase transitions in the holographic model in the probe limit,and given the phase diagram.From the point of view of Gibbs free energy,it is analyzed how various phase transitions are generated by adjusting the charge q_pand the mass m_p.Based on the phase diagram structure of the static solution,the time-dependent evolution of the s+p superconductor model is also studied.That is to say through several groups of quenching three numerical experiments were conducted to further explore the dynamic characteristics that could not be reflected in the static phase diagram.These numerical experiments are as follows:First,when the quenching rate v is fixed,adjusting different charge q_p,and carried out quenching experiments across the regression phase transition region;Second,when the charge q_pis fixed,it is adjusting different quenching rate v,and carried out quenching experiments across the regression phase transition region;Third,when the charge q_pis fixed,two quenching rates v,which are 100 times different from each other,are used to perform quenching experiments across the critical point of superconducting phase transitionρ_c.In the time-dependent case,we find that s-wave order parameter and p-wave order parameter grow at different rates with time.The relationship between the aggregation value of the remaining p-wave order parameter and the quenching rate v at the end of quenching is non-monotonic.The final result of time-dependent evolution is consistent with the static phase diagram. |
