Validity of adiabatic assumption is discussed within the constrained Hartree-Fock theory for self-conjugate nucleus ~(72)Kr.It is shown that the adiabatic assumption does not provide a correct description for the natu...Validity of adiabatic assumption is discussed within the constrained Hartree-Fock theory for self-conjugate nucleus ~(72)Kr.It is shown that the adiabatic assumption does not provide a correct description for the nature of nucleus when a configuration change is involved.The excited Hartree-Fock states and the continuously-connected constrained Hartree-Fock states are given for the first time by applying the configuration dictated constrained Hartree-Fock theory with Gogny force.The importance of self-consistency between the mean-field and the single particle wave functions is emphasized even when a small number of nucleons are involved in the configuration change.展开更多
Heat transport phenomenon of two-dimensional magnetohydrodynamie Casson fluid flow by employing Cattaneo-Christov heat diffusion theory is described in this work. The term of heat absorption/generation is incorporated...Heat transport phenomenon of two-dimensional magnetohydrodynamie Casson fluid flow by employing Cattaneo-Christov heat diffusion theory is described in this work. The term of heat absorption/generation is incorporated in the mathematical modeling of present flow problem. The governing mathematical expressions are solved for velocity and temperature profiles using RKF 45 method along with shooting technique. The importance of arising nonlinear quantities namely velocity, temperature, skin-friction and temperature gradient are elaborated via plots. It is explored that the Casson parameter retarded the liquid velocity while it enhances the fluid temperature. Fhrther, we noted that temperature and thickness of temperature boundary layer are weaker in case of Cattaneo-Christov heat diffusion model when matched with the profiles obtained for Fourier's theory of heat flux.展开更多
基金The project supported in part by the Japanese Society for the Promotion of Science (JSPS) and National Natural Science Foundation of China as the bilateral program between Japan and China.One of the authors (E.G.Zhao) acknowledges the support by National
文摘Validity of adiabatic assumption is discussed within the constrained Hartree-Fock theory for self-conjugate nucleus ~(72)Kr.It is shown that the adiabatic assumption does not provide a correct description for the nature of nucleus when a configuration change is involved.The excited Hartree-Fock states and the continuously-connected constrained Hartree-Fock states are given for the first time by applying the configuration dictated constrained Hartree-Fock theory with Gogny force.The importance of self-consistency between the mean-field and the single particle wave functions is emphasized even when a small number of nucleons are involved in the configuration change.
文摘Heat transport phenomenon of two-dimensional magnetohydrodynamie Casson fluid flow by employing Cattaneo-Christov heat diffusion theory is described in this work. The term of heat absorption/generation is incorporated in the mathematical modeling of present flow problem. The governing mathematical expressions are solved for velocity and temperature profiles using RKF 45 method along with shooting technique. The importance of arising nonlinear quantities namely velocity, temperature, skin-friction and temperature gradient are elaborated via plots. It is explored that the Casson parameter retarded the liquid velocity while it enhances the fluid temperature. Fhrther, we noted that temperature and thickness of temperature boundary layer are weaker in case of Cattaneo-Christov heat diffusion model when matched with the profiles obtained for Fourier's theory of heat flux.