Effect Of Anomalous Magnetic Moment On Statistical Properties Of Weakly Interacting Fermi Gas In Weak Magnetic Field

Since the anomalous magnetic moment of electron was confirmed,people had paid lots of attention to its study,and achieved lots of groundbreaking research results.With the embedded study and the develop of measurement methods,people have a growing respect for the study of the fine structure and hyperfine structure system,Although anomalous magnetic moment is very small,the impact of anomalous magnetic moment could not be ignored at this situation.Thus,it is necessary to study the influence of anomalous magnetic moment on Fermi gas.Moreover,the interaction effects is really exist between particles,taking the Anomalous Magnetic Moment and interaction effects into concerned will more inline with the actual situation,and get the more realistic results.This paper mainly studies the effect of Anomalous Magnetic Moment on properties of weakly interacting Fermi Gas in weak magnetic field.Firstly,taking the Anomalous Magnetic Moment into consideration,the analytical expression of the free energy for a weakly interacting Fermi Gas in a weak magnetic field is derived by using the pseudopotential method and thermodynamic theory,therefore the thermodynamic properties can be studied.Based on the derived expression,the thermodynamic properties of this system at both high and low temperatures are given,and the effect of Anomalous Magnetic Moment on thermodynamic properties can be analyzed.Secondly,Based on the analytical expression of the free energy for the weakly interacting Fermi Gas in a weak magnetic field under the influence of anomalous magnetic moment,the discriminate of stable condition is given.Using the method of analytical calculation and numerical simulation,the effects of anomalous magnetic moment on the stable condition is studied both at high temperature and low temperature,and the influence of magnetic field,temperature and interaction on anomalous magnetic moment effects on the stable condition and the upper bound of particle number density are analyzed.What's more,Based on the analytical expression of free energy for the weakly interacting Fermi Gas in a weak magnetic field under the influence of anomalous magnetic moment,the expression of paramagnetic susceptibility for the system is derived;by the method of analytical calculation and numerical simulation,the effects of anomalous magnetic moment on paramagnetic susceptibility is studied,and the regulation mechanism of particle number density,temperature and interactions on paramagnetism which is affected by anomalous magnetic moment are analyzed.