Magnetic rigidity

Kajdas, C., and Bhushan, B., Mechanism of Interaction and Degradation of PFPEs with a DLC Coating in Thin-Film Magnetic Rigid Disks A Critical Review," /. Info. Storage Proc. Syst.,Vol. 1,1999, pp. 303-320. 

From Eqs. (4.86)-(4.88) one finds that in a random system the linear part of the susceptibility obeys the superposition rule y = [y + 2y ]/3. Therefore the particle anisotropy drops out of the result. However, the cubic susceptibility appears to be rather sensitive to the anisotropy factor. Indeed, according to Eq. (4.88), for an assembly of magnetically rigid grains (S2 > 1), the susceptibility y(3), it is 3 times greater than that of an isotropic (S2 = 0) system. 

The case of finite magnetic rigidity of the particles is addressed in Section V the theory becomes much more complicated and, hence, cumbersome in form. Meanwhile, the case of magnetically hard particles suspended in a fluid is formally very close to the case of isotropic magnetic particles in a solid matrix. That is why we present it here. 

So we see that in the limit d>l, which corresponds to magnetically rigid particles, the cubic susceptibility of a solid random assembly is thrice that of a magnetic fluid containing the same amount of identical particles. In this connection we recall a well-known fact [14,67,68] that for the cases compared, the respective static linear susceptibilities % identically coincide, that is, are completely indistinguishable whatever a. This confirms surmise that in nanoma-gnetic systems the cubic susceptibility is much more selective than the linear one. 

Equation 13.25 is the basis of magnetic spectroscopy. It expresses the fact that the momentum of the particle is proportional to the quantity Bp, called the magnetic rigidity of the particle. The relationship between kinetic energy and rigidity is obtained from the equation linking energy and momentum (see Chap. 

Cells are treated as magnetized rigid spheres while calculating magnetic and fluid drag forces... 

Since the deflection in a magnetic field, Bp, is determined by the momentum to ionic charge ratio Bp = mv/qy the magnetic rigidity of a ion traveling in the filling gas (Oganessian et al. 2007) is... 

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