Dynamics of Condon domain walls

A new nonlinear partial differential equation is used for description of the dynamics of domain walls of magnetic domains of the non-spin type (Condon domains). This equation is derived on the basis of the exact expression for the thermodynamic potential density enabling to take into account the oscillating behavior of the magnetization. The inhomogeneity is included in the generalized equation of state. The derived equation is solved analytically. A new shape of the moving domain wall is presented by the new kink solution of the obtained equation. It is shown that the moving domain wall preserves its profile in the wide range of magnetic fields and temperatures far from the diamagnetic phase transition. This shape coincides with the profile of the static domain wall found in our previous article, which was derived based on a new exact equation of state taking into account the oscillating behavior of the magnetization without expansion of the thermodynamic potential density into a power series. The dependence of the domain wall velocity and thickness on the magnetic field strength, temperature, and Dingle temperature is calculated.