The evolution of the magnetic moment in a corrugated magnetic field

Demokan, O
Mirnov, VV
In the first part, the equations of motion in a weakly corrugated, periodic magnetic field are linearized and solved by using paraxial approximation, to describe the model and the associated resonance condition. In the second part, the nonlinear evolution of the magnetic moment of resonant particles, in connection with their axial displacement is investigated analytically by using the multiple scale method. It is seen that the linear evolution is converted into a slow and periodic oscillation around the unperturbed value, with a considerable amplitude. The analytic expressions for the period and amplitude of the oscillations are derived and compared with the numerical simulations, which are also presented. Finally, the limitations of the paraxial approximation are concluded by investigating the numerical simulations, with actual field expressions. (C) 1997 American Institute of Physics.


The effect of periodicity distance in electric field direction on the resonance frequency by using equivalent circuit model and simulation
YAŞARÖRTEN, Pınar; Sayan, Gönül (2015-07-24)
In this study, the effect of the periodicity distance in electric field direction on the resonance frequency of a Split Ring Resonator (SRR) unit cell is examined using both HFSS and two-port equivalent circuit model. In HFSS simulations, perfect electric conductor (PEC) and perfect magnetic conductor (PMC) type boundary conditions are used at the surfaces perpendicular to electric and magnetic field, respectively. The resonance frequency for each periodicity distance in E-field direction is calculated usin...
MEAD, DJ; Yaman, Yavuz (1991-02-08)
An exact analysis is presented of the vibration response of an infinite beam on periodic supports, subjected to a transverse harmonic point force. The supports must all be the same and can be simply supported or be generally linear with elastic, inertial and dissipative properties. The total response is found as the sum of the flexural wave fields generated by the applied force and the infinite number of support reaction forces and moments. The concept of phased arrays of forces and moments is used to sum t...
The electronic structure of a quantum well under an applied electric field
Sari, H; Ergun, Y; Sokmen, I; Tomak, Mehmet (Elsevier BV, 1996-01-01)
The effects of an applied electric field on quantum well subband energies are calculated variationally within the effective mass approximation for model potential profiles. The concept of a quasi-bound state is examined critically. For higher electric field values it is shown that the quasi-bound state approximation for the ground and first excited state of the electron, and for the ground state of the hole is valid. (C) 1996 Academic Press Limited
The effect of peripheral circuits on the total pi-electron energies of cyclacenes
Türker, Burhan Lemi (2000-01-01)
Within the framework of the Huckel molecular orbital theory, certain linear models are developed to express the contribution of peripheral circuits of cyclacenes into their total pi -electron energies, which explain why cyclacenes exhibit the cryptoannulenic behavior as their peripheral circuits which are annulenic in character.
Kocabiyik, Serpil; Bozkaya, Canan; Reid, Gina (2011-09-30)
A viscous incompressible two-fluid model with a circular cylinder under streamwise oscillations is investigated at a Reynolds number of 200 and at a displacement amplitude of A = 0.13 and for the forcing cylinder oscillation frequency-to-natural vortex shedding frequency ratios, f/f(0) = 1.25, 1.75, 2.25, 2.75. Finite volume discretization of the special integral form of two-dimensional continuity and unsteady Navier-Stokes equations (when a solid body is present) are performed on a fixed Cartesian grid. Im...
Citation Formats
O. Demokan and V. Mirnov, “The evolution of the magnetic moment in a corrugated magnetic field,” CHAOS, pp. 387–391, 1997, Accessed: 00, 2020. [Online]. Available: