The Landau-Lifshitz equation with the external field—a new extension for harmonic maps with values inS 2

1995 ◽  
Vol 220 (1) ◽  
pp. 171-188 ◽  
Author(s):  
Min-Chun Hong
Keyword(s):  
External Field ◽  
Harmonic Maps ◽  
Lifshitz Equation

CONFIGURATIONAL TEMPERATURE FOR INTERACTING ANISOTROPIC MAGNETIC PARTICLES

2009 ◽  
Vol 19 (10) ◽  
pp. 3485-3498 ◽  
Author(s):  
PABLO DÍAZ ◽  
DAVID LAROZE
Keyword(s):  
External Field ◽  
Exchange Coupling ◽  
Magnetic Particles ◽  
Periodic Boundary Conditions ◽  
Oscillatory Behavior ◽  
Thermodynamical Equilibrium ◽  
Lifshitz Equation ◽  
Time Average ◽  
A Chain ◽  
Number Of Particles

We study by means of the Landau–Lifshitz equation both the dynamical and the thermodynamical equilibrium properties of the interacting anisotropic magnetic particles on a chain in the presence of an applied magnetic field. The interaction between the magnetic particles is produced by an exchange coupling between first neighbors with periodic boundary conditions. We find that the total magnetization modulus can be a fluctuating function of time, since the system under study contains anisotropic terms. We obtain an analytical expression for the configurational temperature and an approximate formula for the case of a large number of particles. When the direction of the external field is different to the easy axes, the configurational temperature presents an oscillatory behavior as a function of time. Finally, by using the time average of the temperature, we calculate both the energy and the magnetization along the external field as a function of temperature, recovering the equilibrium thermodynamics results.

Ground states for the ising model with an external field on the Cayley tree

2018 ◽  
Vol 2018 (3) ◽  
pp. 147-155
Author(s):  
M.M. Rakhmatullaev ◽  
M.A. Rasulova
Keyword(s):  
Ising Model ◽  
External Field ◽  
Cayley Tree ◽  
Ground States
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