We consider a relativistic two-fluid model of superfluidity,in which the superfluid is described by an order parameter that is a complex scalar field satisfying the nonlinear Klein-Gordon equation(NLKG).The coupling t...We consider a relativistic two-fluid model of superfluidity,in which the superfluid is described by an order parameter that is a complex scalar field satisfying the nonlinear Klein-Gordon equation(NLKG).The coupling to the normal fluid is introduced via a covariant current-current interaction,which results in the addition of an effective potential,whose imaginary part describes particle transfer between superfluid and normal fluid.Quantized vorticity arises in a class of singular solutions and the related vortex dynamics is incorporated in the modified NLKG,facilitating numerical analysis which is usually very complicated in the phenomenology of vortex filaments.The dual transformation to a string theory description(Kalb-Ramond)of quantum vorticity,the Magnus force,and the mutual friction between quantized vortices and normal fluid are also studied.展开更多
It is well known that thermodynamics of the black hole whose space-time isasymptotically flat obeys the four laws proposed by Bardeen, Carter and Hawking.But for the Schwarzschild type black hole whose space-time is n...It is well known that thermodynamics of the black hole whose space-time isasymptotically flat obeys the four laws proposed by Bardeen, Carter and Hawking.But for the Schwarzschild type black hole whose space-time is no longerasymptotically flat, whether the Bardeen-Carter-Hawking laws are valid is worthstudying. We all know that certain gauge theories allow possibility of topological de-展开更多
文摘We consider a relativistic two-fluid model of superfluidity,in which the superfluid is described by an order parameter that is a complex scalar field satisfying the nonlinear Klein-Gordon equation(NLKG).The coupling to the normal fluid is introduced via a covariant current-current interaction,which results in the addition of an effective potential,whose imaginary part describes particle transfer between superfluid and normal fluid.Quantized vorticity arises in a class of singular solutions and the related vortex dynamics is incorporated in the modified NLKG,facilitating numerical analysis which is usually very complicated in the phenomenology of vortex filaments.The dual transformation to a string theory description(Kalb-Ramond)of quantum vorticity,the Magnus force,and the mutual friction between quantized vortices and normal fluid are also studied.
基金Supported by the National Natural Science Foundation of China under Grant 19875 0 16 theDoctoral Fund from the Education Ministry of China under Grant 19990 2 5 110 +1 种基金the Foundation for the Developmentof ScienceTechnology of Shanghai under Grant 0
文摘It is well known that thermodynamics of the black hole whose space-time isasymptotically flat obeys the four laws proposed by Bardeen, Carter and Hawking.But for the Schwarzschild type black hole whose space-time is no longerasymptotically flat, whether the Bardeen-Carter-Hawking laws are valid is worthstudying. We all know that certain gauge theories allow possibility of topological de-
基金Supported by the Excellent Young Teachers Program of Shanghaithe Doctoral Fund of Ministry of Education of China(20133108120002)the First-Class Discipline of Universities in Shanghai
