The relaxation function of the spin van der Waals model in a weak magnetic field

1990 ◽  
Vol 68 (1) ◽  
pp. 49-53 ◽  
Author(s):  
Y. K. Lee ◽  
I. M. Kim
Keyword(s):  
Magnetic Field ◽  
Relaxation Function ◽  
Weak Magnetic Field ◽  
Continued Fraction ◽  
Van Der Waals ◽  
Exact Result ◽  
Van Der Waals Model ◽  
Perturbative Method ◽  
Infinite Continued Fraction

We consider the spin van der Waals model in a weak magnetic field. For this model we obtain the relaxation function by applying the perturbative method that was developed for the evaluation of the relaxation function represented as an infinite continued fraction. To show the applicability of the perturbative method, we make comparisons between an exact result and various degrees of approximation.

Dynamical perturbation theory for the evaluation of the relaxation function

1989 ◽  
Vol 67 (1) ◽  
pp. 31-36 ◽  
Author(s):  
I. M. Kim ◽  
Bae-Yeun Ha
Keyword(s):  
Perturbation Theory ◽  
Relaxation Function ◽  
Continued Fraction ◽  
Recurrence Relations ◽  
Unperturbed System ◽  
Many Body ◽  
Analytic Expression ◽  
Infinite Continued Fraction ◽  
Many Body Systems

Use of the infinite continued-fraction representation has played an important role in the evaluation of the relaxation function of many-body systems. By using the method of recurrence relations, we propose here a dynamical perturbation theory for the evaluation of the infinite continued fraction. The analytic expression of the relaxation function is given in terms of the known relaxation function for the unperturbed system. Two illustrative examples are also given.

Enhancing weak magnetic field MME coupling in NdFeB magnet/piezoelectric composite cantilevers with stress concentration effect

2021 ◽  
Vol 118 (13) ◽  
pp. 132902
Author(s):  
Zhonghui Yu ◽  
Zhaoqiang Chu ◽  
Jikun Yang ◽  
Mohammad Javad Pourhosseini Asl ◽  
Zhanmiao Li ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Stress Concentration ◽  
Weak Magnetic Field ◽  
Concentration Effect ◽  
Piezoelectric Composite ◽  
Ndfeb Magnet ◽  
Stress Concentration Effect

Dynamics of a disc in a nematic liquid crystal

Soft Matter ◽  
2016 ◽  
Vol 12 (4) ◽  
pp. 1279-1294 ◽  
Author(s):  
Alena Antipova ◽  
Colin Denniston
Keyword(s):  
Magnetic Field ◽  
Liquid Crystal ◽  
Numerical Simulations ◽  
Nematic Liquid Crystal ◽  
Weak Magnetic Field ◽  
Angular Speed ◽  
The Magnetic Field

We explain the motion of a micron-sized ferromagnetic disc immersed in a nematic liquid crystal under the action of a weak magnetic field using numerical simulations. We show that the disc's behaviour can be controlled by the angular speed of the magnetic field and its magnitude.

Sign in / Sign up

Export Citation Format

Share Document