We study the average rate of change of energy of two accelerated entangled atoms coupled to electromagnetic fields in the presence of a reflecting boundary,which according to the Dalibard,Dupont-Roc and Cohen-Tannoudj...We study the average rate of change of energy of two accelerated entangled atoms coupled to electromagnetic fields in the presence of a reflecting boundary,which according to the Dalibard,Dupont-Roc and Cohen-Tannoudji formalism is only attributed to the contribution of the radiative reaction of atoms.When the boundary is present,this result can be expressed as the sum of the free-space result and the boundary-induced modifications,and it generally depends on the two-atom initial state,the orientations of atomic dipole moments,as well as the relative scales among atom-boundary distance,interatomic separation and the inverse of atomic acceleration.When the two atoms are vertically aligned and one atom is very close to the boundary,we find that the terms only related to the closer atom are zero for the symmetric state but double the free-space counterpart for the antisymmetric state,if the atom is polarizable parallel to the boundary.However,for the atom polarizable vertically to the boundary,these terms vanish for the antisymmetric state but are twice the free-space counterpart for the symmetric state.Moreover,the terms related to the farther atom exhibit obviously oscillatory behavior,and the terms related to both atoms are vanishing unless the dipole moments of two atoms both have their components vertical to the boundary.When the two atoms are aligned parallel to and very close to the boundary,the terms related to one atom are interatomicseparation-independent and only influenced by the atomic dipole moments.The terms related to both atoms are actually consistent with the counterpart in the vertical-alignment case.In addition,when the two atoms are polarizable along the direction parallel to the boundary,the average rate of change of energy of two parallel-aligned and symmetric entangled atoms vanishes as if the two atoms were a closed system.展开更多
Variable acceleration linear motion is an important motion model in senior high school. This paper analyzes five common variable acceleration linear motion models in senior high school physics, and summarizes the crit...Variable acceleration linear motion is an important motion model in senior high school. This paper analyzes five common variable acceleration linear motion models in senior high school physics, and summarizes the critical state in the process of object motion, as well as solutions to common problems in the models.展开更多
The unsteady magnehydrodynamics （MHD） Couette flow of an electrically conducting fluid in a rotating system is investigated by taking the Hall and ion-slip currents into consideration. The derived fundamental equati...The unsteady magnehydrodynamics （MHD） Couette flow of an electrically conducting fluid in a rotating system is investigated by taking the Hall and ion-slip currents into consideration. The derived fundamental equations on the assumption of a small magnetic Reynolds number are solved analytically with the well-known Laplace transform technique. The unified closed-form expressions axe obtained for the velocity and the skin friction in the two different cases of the magnetic field being fixed to either the fluid or the moving plate. The effects of various parameters on the velocity and the skin friction axe discussed by graphs. The results reveal that the primary and secondary velocities increase with the Hall current. An increase in the ion-slip paxameter also leads to an increase in the primary velocity but a decrease in the secondary velocity. It is also shown that the combined effect of the rotation, Hall, and ion-slip parameters determines the contribution of the secondary motion in the fluid flow.展开更多
Based on the potassium channel “origami windmill” model, and the conservation law of cell membrane area and ion inequality equation of based on the potassium channel “origami windmill” model, and Maxwell’s electr...Based on the potassium channel “origami windmill” model, and the conservation law of cell membrane area and ion inequality equation of based on the potassium channel “origami windmill” model, and Maxwell’s electromagnetic theory, it is theoretically proved that neurons can generate electromagnetic waves. The electromagnetic wave is an energy wave, never disappear. Neurons are equivalent to engineering antennas, and information between neurons can be transmitted through electromagnetic waves. The material basis for neurons to generate electromagnetic waves is the result of the exchange of cations on the inner surface of the cell membrane, especially Na<sup>+</sup> and K<sup>+</sup>;The essence of consciousness should be electromagnetic wave. The conclusion that “neurons can generate electromagnetic waves” provides theoretical support for human beings to finally solve the mystery of the brain. At the same time, the author gives seven falsification schemes. The brain is a huge gold mine, and it is too important to crack the mystery of the brain. It should be a joint operation of “multiple arms”. It should not only be the work of brain scientists, but also the participation of physicists, chemists and mathematicians.展开更多
The extended Brinkman Darcy model for momentum equations and an energy equation is used to calculate the unsteady natural convection Couette flow of a viscous incompressible heat generating/absorbing fluid in a vertic...The extended Brinkman Darcy model for momentum equations and an energy equation is used to calculate the unsteady natural convection Couette flow of a viscous incompressible heat generating/absorbing fluid in a vertical channel （formed by two infinite vertical and parallel plates） filled with the fluid-saturated porous medium. The flow is triggered by the asymmetric heating and the accelerated motion of one of the bounding plates. The governing equations are simplified by the reasonable dimensionless parameters and solved analytically by the Laplace transform techniques to obtain the closed form solutions of the velocity and temperature profiles. Then, the skin friction and the rate of heat transfer are consequently derived. It is noticed that, at different sections within the vertical channel, the fluid flow and the temperature profiles increase with time, which are both higher near the moving plate. In particular, increasing the gap between the plates increases the velocity and the temperature of the fluid, however, reduces the skin friction and the rate of heat transfer.展开更多
基金supported in part by the NSFC under Grant Nos.12047551 and 12105061the Graduate Innovation Project of Shanxi Normal University under Grant No.2023XSY041。
文摘We study the average rate of change of energy of two accelerated entangled atoms coupled to electromagnetic fields in the presence of a reflecting boundary,which according to the Dalibard,Dupont-Roc and Cohen-Tannoudji formalism is only attributed to the contribution of the radiative reaction of atoms.When the boundary is present,this result can be expressed as the sum of the free-space result and the boundary-induced modifications,and it generally depends on the two-atom initial state,the orientations of atomic dipole moments,as well as the relative scales among atom-boundary distance,interatomic separation and the inverse of atomic acceleration.When the two atoms are vertically aligned and one atom is very close to the boundary,we find that the terms only related to the closer atom are zero for the symmetric state but double the free-space counterpart for the antisymmetric state,if the atom is polarizable parallel to the boundary.However,for the atom polarizable vertically to the boundary,these terms vanish for the antisymmetric state but are twice the free-space counterpart for the symmetric state.Moreover,the terms related to the farther atom exhibit obviously oscillatory behavior,and the terms related to both atoms are vanishing unless the dipole moments of two atoms both have their components vertical to the boundary.When the two atoms are aligned parallel to and very close to the boundary,the terms related to one atom are interatomicseparation-independent and only influenced by the atomic dipole moments.The terms related to both atoms are actually consistent with the counterpart in the vertical-alignment case.In addition,when the two atoms are polarizable along the direction parallel to the boundary,the average rate of change of energy of two parallel-aligned and symmetric entangled atoms vanishes as if the two atoms were a closed system.
文摘Variable acceleration linear motion is an important motion model in senior high school. This paper analyzes five common variable acceleration linear motion models in senior high school physics, and summarizes the critical state in the process of object motion, as well as solutions to common problems in the models.
文摘The unsteady magnehydrodynamics （MHD） Couette flow of an electrically conducting fluid in a rotating system is investigated by taking the Hall and ion-slip currents into consideration. The derived fundamental equations on the assumption of a small magnetic Reynolds number are solved analytically with the well-known Laplace transform technique. The unified closed-form expressions axe obtained for the velocity and the skin friction in the two different cases of the magnetic field being fixed to either the fluid or the moving plate. The effects of various parameters on the velocity and the skin friction axe discussed by graphs. The results reveal that the primary and secondary velocities increase with the Hall current. An increase in the ion-slip paxameter also leads to an increase in the primary velocity but a decrease in the secondary velocity. It is also shown that the combined effect of the rotation, Hall, and ion-slip parameters determines the contribution of the secondary motion in the fluid flow.
文摘Based on the potassium channel “origami windmill” model, and the conservation law of cell membrane area and ion inequality equation of based on the potassium channel “origami windmill” model, and Maxwell’s electromagnetic theory, it is theoretically proved that neurons can generate electromagnetic waves. The electromagnetic wave is an energy wave, never disappear. Neurons are equivalent to engineering antennas, and information between neurons can be transmitted through electromagnetic waves. The material basis for neurons to generate electromagnetic waves is the result of the exchange of cations on the inner surface of the cell membrane, especially Na<sup>+</sup> and K<sup>+</sup>;The essence of consciousness should be electromagnetic wave. The conclusion that “neurons can generate electromagnetic waves” provides theoretical support for human beings to finally solve the mystery of the brain. At the same time, the author gives seven falsification schemes. The brain is a huge gold mine, and it is too important to crack the mystery of the brain. It should be a joint operation of “multiple arms”. It should not only be the work of brain scientists, but also the participation of physicists, chemists and mathematicians.
文摘The extended Brinkman Darcy model for momentum equations and an energy equation is used to calculate the unsteady natural convection Couette flow of a viscous incompressible heat generating/absorbing fluid in a vertical channel （formed by two infinite vertical and parallel plates） filled with the fluid-saturated porous medium. The flow is triggered by the asymmetric heating and the accelerated motion of one of the bounding plates. The governing equations are simplified by the reasonable dimensionless parameters and solved analytically by the Laplace transform techniques to obtain the closed form solutions of the velocity and temperature profiles. Then, the skin friction and the rate of heat transfer are consequently derived. It is noticed that, at different sections within the vertical channel, the fluid flow and the temperature profiles increase with time, which are both higher near the moving plate. In particular, increasing the gap between the plates increases the velocity and the temperature of the fluid, however, reduces the skin friction and the rate of heat transfer.
