When the orbital motion and the spin motion of particles were considered simultaneously,the thermodynamic potential function of a weakly interacting Fermi gas in a weak magnetic field was derived using the thermodynam...When the orbital motion and the spin motion of particles were considered simultaneously,the thermodynamic potential function of a weakly interacting Fermi gas in a weak magnetic field was derived using the thermodynamics method. Based on the derived expression,the analytical expressions of energy,heat capacity,chemical potential,susceptibility and stability conditions of the system were given,and the effects of the interparticle interactions as well as the magnetic field on the properties of the system were analyzed. It was shown that the magnetic field always causes energy and stability to decrease,while the chemical potential of the system to increase. The repulsive(attractive) interactions always increase(decrease) energy and stability,but decrease(increase) the chemical potential and paramagnetism. The repulsive(attractive) interactions decrease(increase) heat capacity of the system at high temperatures but increase(decrease) it at low temperatures.展开更多
The q-deformed Fermi-Dirac distribution is used to study the high-temperature（T TF） ∨behavior of a relativistic q-deformed ideal Fermi gas. The effects of the q-deformation and relativity on the properties of the s...The q-deformed Fermi-Dirac distribution is used to study the high-temperature（T TF） ∨behavior of a relativistic q-deformed ideal Fermi gas. The effects of the q-deformation and relativity on the properties of the system are discussed,and then,the example of the neutrinos near the surface of the earth is used to calculate approximately. It shows that the q-deformation increases the total energy but decreases the chemical potential and heat capacity,whereas mc 2 ε F0increases the chemical potential and total energy but decreases the heat capacity（ ε F0is the Fermi energy of ultrarelativistic undeformed Fermi gas） . The larger the deformation parameter q and the value of mc 2 ε F0are,the more remarkable the effects of them on the thermostatistic properties will be. However,the effects of both q-deformation and relativity become weak with increasing temperature. When the temperature T →∞,the thermostatistic properties of the system are reduced to those of ordinary Boltzmann gases and independent of q and relativity effect completely,which implies that the q-deformation is a pure quantum effect.展开更多
文摘When the orbital motion and the spin motion of particles were considered simultaneously,the thermodynamic potential function of a weakly interacting Fermi gas in a weak magnetic field was derived using the thermodynamics method. Based on the derived expression,the analytical expressions of energy,heat capacity,chemical potential,susceptibility and stability conditions of the system were given,and the effects of the interparticle interactions as well as the magnetic field on the properties of the system were analyzed. It was shown that the magnetic field always causes energy and stability to decrease,while the chemical potential of the system to increase. The repulsive(attractive) interactions always increase(decrease) energy and stability,but decrease(increase) the chemical potential and paramagnetism. The repulsive(attractive) interactions decrease(increase) heat capacity of the system at high temperatures but increase(decrease) it at low temperatures.
基金Supported by the Natural Science Foundation of the Education Department of Anhui Province (KJ2009B056Z)the Special Foundation of Talent Introduction in Anhui Science and Technology University (ZRC2008184)
文摘The q-deformed Fermi-Dirac distribution is used to study the high-temperature（T TF） ∨behavior of a relativistic q-deformed ideal Fermi gas. The effects of the q-deformation and relativity on the properties of the system are discussed,and then,the example of the neutrinos near the surface of the earth is used to calculate approximately. It shows that the q-deformation increases the total energy but decreases the chemical potential and heat capacity,whereas mc 2 ε F0increases the chemical potential and total energy but decreases the heat capacity（ ε F0is the Fermi energy of ultrarelativistic undeformed Fermi gas） . The larger the deformation parameter q and the value of mc 2 ε F0are,the more remarkable the effects of them on the thermostatistic properties will be. However,the effects of both q-deformation and relativity become weak with increasing temperature. When the temperature T →∞,the thermostatistic properties of the system are reduced to those of ordinary Boltzmann gases and independent of q and relativity effect completely,which implies that the q-deformation is a pure quantum effect.
