Solution procedure for the Laplace equation in bispherical coordinates for two spheres in a uniform external field: Parallel orientation

1989 ◽  
Vol 65 (7) ◽  
pp. 2611-2615 ◽  
Author(s):  
Richard D. Stoy
2012 ◽  
Vol 190 ◽  
pp. 478-481
Author(s):  
S.A. Gudin ◽  
M.I. Kurkin ◽  
A.V. Gapontsev

Conditions of coexistence of Fe/Cr/Fe film states with parallel and antiparallel Fe layer magnetisations orientation are established. The transition from antiparallel to parallel orientation in external magnetic field is caused with Cr layer spin density wave phase change when wave node in the centre of Cr layer is substituted with wave antinode. The coexistence of these two states means that Fe/Cr/Fe film ferromagnetic state created with external magnetic field retains after the switching this field off. This phenomenon will manifest itself in the fact that magnetisation curve of initially antiferromagnetic Fe/Cr/Fe film will go outside the hysteresis loop of it's remagnetisation in ferromagnetic state created by external field.


1989 ◽  
Vol 40 (3) ◽  
pp. 293-297 ◽  
Author(s):  
T D Fry ◽  
L Vicens ◽  
K Macleod ◽  
S Fernandez

2019 ◽  
Author(s):  
Valentina Guccini ◽  
Sugam Kumar ◽  
Yulia Trushkina ◽  
Gergely Nagy ◽  
Christina Schütz ◽  
...  

The magnetic alignment of cellulose nanocrystals (CNC) and lepidocrocite nanorods (LpN), pristine and in hybrid suspensions has been investigated using contrast-matched small-angle neutron scattering (SANS) under in situ magnetic fields (0 – 6.8 T) and polarized optical microscopy. The pristine CNC (diamagnetic) and pristine LpN (paramagnetic) align perpendicular and parallel to the direction of field, respectively. The alignment of both the nanoparticles in their hybrid suspensions depends on the relative amount of the two components (CNC and LpN) and strength of the applied magnetic field. In the presence of 10 wt% LpN and fields < 1.0 T, the CNC align parallel to the field. In the hybrid containing lower amount of LpN (1 wt%), the ordering of CNC is partially frustrated in all range of magnetic field. At the same time, the LpN shows both perpendicular and parallel orientation, in the presence of CNC. This study highlights that the natural perpendicular ordering of CNC can be switched to parallel by weak magnetic fields and the incorporation of paramagnetic nanoparticle as LpN, as well it gives a method to influence the orientation of LpN.<br>


2018 ◽  
Vol 2018 (3) ◽  
pp. 147-155
Author(s):  
M.M. Rakhmatullaev ◽  
M.A. Rasulova

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