Classical spin dynamics of four interacting magnetic particles on a ring

2008 ◽  
Vol 403 (2-3) ◽  
pp. 473-477 ◽  
Author(s):  
D. Laroze ◽  
L.M. Perez
Open Physics ◽  
2013 ◽  
Vol 11 (12) ◽  
Author(s):  
Laura Pérez ◽  
Omar Suarez ◽  
David Laroze ◽  
Hector Mancini

AbstractIn the present work we study the deterministic spin dynamics of two interacting anisotropic magnetic particles in the presence of an external magnetic field using the Landau-Lifshitz equation. The interaction between particles is through the exchange energy. We study both conservative and dissipative cases. In the first one, we characterize the dynamical behavior of the system by monitoring the Lyapunov exponents and bifurcation diagrams. In particular, we explore the dependence of the largest Lyapunov exponent respect to the magnitude of applied magnetic field and exchange constant. We find that the system presents multiple transitions between regular and chaotic behaviors. We show that the dynamical phases display a very complicated topology of intricately intermingled chaotic and regular regions. In the dissipative case, we calculate the final saturation states as a function of the magnitude of the applied magnetic field, exchange constant as well as the anisotropy constants.


2021 ◽  
Vol 104 (10) ◽  
Author(s):  
Hao Zhang ◽  
Cristian D. Batista

1998 ◽  
Vol 111 (1-3) ◽  
pp. 1-13 ◽  
Author(s):  
M. Krech ◽  
Alex Bunker ◽  
D.P. Landau

2000 ◽  
Vol 53 (4) ◽  
pp. 567 ◽  
Author(s):  
R. L. Stamps

Maxwell’s equations applied to low-dimensional magnetic structures result in a number of interesting features. For example, the magnetic fields generated by two-dimensional arrays of Heisenberg spins can stabilise long range magnetic order and determine critical temperatures. Aspects of this problem are discussed, and considerations for the dynamic response of weakly coupled arrays of fine magnetic particles are presented. Finally, a form of effective medium theory designed to overcome difficulties in treating magnetostatic interactions in magnetic nanostructures is described.


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