A magnetic flux emerges in the free energy equality as a natural consequence of using the quantum work functional31, thus uncovering the source of the amplification. For the open quantum system, the amplification can be suppressed by dissipation. We further analytically evaluate the free energy ...
The total energy of a force-free configuration can be estimated directly from boundary conditions with the help of the virial theorem (see, e.g., Aly, 1989, for a derivation of this formula) $$E_{tot} = \frac{1} {{\mu _0 }}\int_S {(x B_x + y B_y )B_z dx dy}$$ ...
However, a rigorous derivation of the diamagnetic response of electrons requires a quantum mechanical description based on first order perturbation theory11,19. The diamagnetic susceptibility, χD, in units of emu mol−1 [cgs] or m3 mol−1 [SI] is given by χD=−ne26mec2⟨r2⟩...
Magnetic closing the opening is facilitated by derivation of the fluxCROVETTO GEORGES-SEBASTIEN-CHCROVETTO GEORGES-SEBASTIEN-CH
By derivation of Eq. 31 with respect to H, parameter c appears as the ratio between initial susceptibilities (at origin) measured on the first magnetization curveχin and on the anhysteretic curve χan0 [26]: (35)c=χinχan0 The parameter k can also be defined as: (36)k=Man(Hc)(...
( 3.16 )–( 3.18 ), that the magnetic flux through any fundamental domain \(\omega \) of the lattice \(\mathcal {l}\) is quantized: $$\begin{aligned} \frac{e}{2\pi }\int _{\omega }d a = n, \end{aligned}$$ (3.19) where e is defined after ( 3.7 ) and \(n=c(\...
An important step in the derivation from the integral forms of the Lorentz force is the proof of the following relationship:(A1) Through a cross product vector identity, the LHS of Eq. (A1) can be rewritten as:(A2) Considering the first term in the integral on the RHS of Eq. (A2),...
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. kidsasd987 Thread Feb ...
Magnet. A flat, round magnet (240 mT surface magnetic flux density, neodymium- based magnet of grade N50, 10 mm in diameter) was purchased from Shin-Etsu Chemical Co., Ltd. (Tokyo, Japan) in Fig. 6. X-Ray crystallographic analysis. A dark brown prismatic crystal of iron-salen with ...
The use of valley excitonic states of transition metal dichalcogenides to store and manipulate information is hampered by fast carrier recombination and short valley lifetime. We propose theoretically a scheme to overcome such an obstacle, by applying a