The 3DBfield data allows us to experimentally derive from the volume of a sample spatial maps of free energy density contributions from magnetic exchange and DM interactions, respectively. These energetic contributions are most essential for the formation and stabilization of skyrmions and SkTs, as th...
Thus, our microscopic derivation unambiguously proves the correctness of the Helmholtz tensor for such media. Also, the expression for the momentum density of the field obtained in our theory is different from the expressions obtained by Minkowski, Abraham, Einstei...
The approximations being necessary for this derivation are justified on the condition ω c /ω 0 = |e| · | B |/ m c ω 0 1 in the case of weak and intermediate coupling. Furthermore, the properties of the eigen‐value spectrum belonging to the effective Hamiltonian are discussed. ...
Note that, albeit the energy barrier being rather large, the hysteresis loops are practically close at zero field, strongly indicating that QTM is rather efficient, as commonly observed in lanthanide-based SMMs. To gain deeper insight into the relaxation mechanism and the anisotropic magnetic ...
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Magnetic dipole moment derivation (2) Hi. I am having a problem with understanding how to approximate 1/R in the forms of equations written above. I took this equations from a blog, and it tells that I can use talyor polynomial. but I don't get there somehow. ...
In shell models, the fluid density is constant and therefore not indicated in the definition of the kinetic energy. Also the permeability factor in the magnetic energy has been omitted. Magnetic helicity is a signed quantity, i.e., it can be positive or negative. How to describe this in a...
Figure 1. The normalized radial current density 𝑓˜(𝑟˜)f˜(r˜) versus normalized radius 𝑟˜r˜ in our model. The function 𝑓˜(𝑟˜)f˜(r˜) comes from Equation (12), and we use the parameter values listed in Table 1. Figure...
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The electrostatic energy density is thus U(E) εE 2/2 D(E/2. (J/m 3) (5.19) The last form is the three-dimensional extension of the derivation. The magnetic field energy density can be calculated by considering the toroidal core circuit of Figure 5.11. Because the core is ...