Thermal behavior and cluster formation of ferromagnetic particles in magnetic fluids

2002 ◽  
Vol 14 (1-4) ◽  
pp. 443-446 ◽  
Author(s):  
Toshihide Tachibana ◽  
Hiroshige Kikura ◽  
Mitsuo Matsuzaki ◽  
Gentaro Yamanaka ◽  
Masanori Aritomi ◽  
...  
1999 ◽  
Vol 201 (1-3) ◽  
pp. 238-241 ◽  
Author(s):  
Eugenia Tulcan ◽  
Victor Sofonea

2011 ◽  
Vol 16 (1) ◽  
pp. 62-71 ◽  
Author(s):  
V. Polevikov ◽  
L. Tobiska

The present study is devoted to the development of an ADI approach to simulate two-dimensional time-dependent diffusion process of ferromagnetic particles in magnetic fluids. Specific features of the problem are the Neumann boundary conditions. We construct an ADI scheme of formally second order accuracy approximation in time and space. It is proved that the scheme is absolutely stable and it has the accuracy in the energy norm of the second order in time and the order 3/2 in space. The numerical results of a test problem indicate that the convergence rate in space is of the second order as well.


2001 ◽  
Vol 15 (06n07) ◽  
pp. 912-917
Author(s):  
HISAO MORIMOTO ◽  
TORU MAEKAWA

We developed a statistical model of the cluster formation of ferromagnetic particles and analysed the cluster structures. We investigated the effect of the control parameter λ, that is, the ratio of magnetic dipole moment energy to thermal energy, and external magnetic fields on the fractal dimensions of three-dimensional ferromagnetic clusters. We found that the fractal dimension of clusters, D, changes from 5/3 to 2 as λ increases in the absence of a magnetic field. We also found that when clusters are subjected to a magnetic field, the fractal dimension decreases and the transition region from high fractal dimension to D=1 becomes shorter as λ increases.


1999 ◽  
Author(s):  
Tatsuo Sawada ◽  
Hiroshiga Kikura ◽  
Gentaro Yamanaka ◽  
Mitsuo Matsuzaki ◽  
Masanori Aritomi ◽  
...  

2005 ◽  
Vol 125 ◽  
pp. 27-30 ◽  
Author(s):  
J. G. Santos ◽  
L. B. Silveira ◽  
A. C. Oliveira ◽  
P. C. Morais

1974 ◽  
Vol 112 (3) ◽  
pp. 427 ◽  
Author(s):  
M.I. Shliomis
Keyword(s):  

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