Theoretical study of the magnetic properties of an SF6 molecule in non-uniform magnetic field

The internal structure of magnetorheological fluid could change under external magnetic field, as well as its dielectric constant and magnetic conductance. A theoretical model of electromagnetic wave propagation in MRF was established and the basic formula of transmissivity was deduced. Theoretical simulation shows that the electromagnetic wave transmissivity decreases with the increasing of dielectric constant of magnetorheological fluid, and increases with the magnetic permeability. Theoretical analysis indicates that the change of its structure and dielectric magnetic properties of MR fluids is the main cause for the fact that the transmittance could be adjusted under external magnetic field.

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Some magnetic properties of metals. V. Magnetic behaviour of a cylindrical system of electrons for all magnetic fields

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1953.0011 ◽

1953 ◽

Vol 216 (1124) ◽

pp. 118-142 ◽

Cited By ~ 17

Keyword(s):

Magnetic Field ◽

Magnetic Properties ◽

Wave Function ◽

Magnetic Susceptibility ◽

Uniform Magnetic Field ◽

Magnetic Behaviour ◽

The Other ◽

Cylindrical System ◽

Different Types ◽

Large Systems

The Wentzel-Kramers-Brillouin method is used to solve the Schrödinger equation for an electron moving in a uniform magnetic field H , the boundary of the system being a cylinder with its axis lying along the direction of the field. It is found that there are two entirely different types of wave-function possible, one type leading to the small Landau diamagnetism of large systems discussed in part I of this series, the other to the larger diamagnetism of small systems discussed in part IV. Taking into account the occupied states of both types, the steady (non-periodic) contributions to the magnetic susceptibility are derived for all fields in both the low- and high-temperature limits, and for most fields at intermediate temperatures.

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Diamagnetism versus paramagnetism of charged ideal spin-1/2 fermions in a harmonic trap under a uniform magnetic field

International Journal of Modern Physics B ◽

10.1142/s0217979219500267 ◽

2019 ◽

Vol 33 (06) ◽

pp. 1950026

Author(s):

Yushan Li ◽

Hongyan Liu

Keyword(s):

Magnetic Field ◽

Magnetic Properties ◽

Low Temperature ◽

Weak Magnetic Field ◽

Uniform Magnetic Field ◽

Critical Values ◽

Spin Factor ◽

Paramagnetic Region ◽

Variable Spin ◽

Spinless Case

Magnetic properties of harmonically trapped charged ideal spin-1/2 fermions in a uniform magnetic field are studied. It is shown that the magnetism of charged spin-1/2 fermions can be explained by a competition between the diamagnetic and paramagnetic effects, where a variable spin factor is introduced to describe the strength of paramagnetic effect. As the spin factor increases, a crossover from diamagnetic region to paramagnetic region appears. Moreover, the critical values of spin factor are obtained at low-temperature and under weak magnetic field, respectively. Spin-1/2 fermions display distinct magnetic behaviors from spinless case.

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