Static properties of Condon domains

A new nonlinear differential equation is used for description of the static properties 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 taking into account the oscillating behavior of the magnetization. Inhomogeneity is included in the generalized equation of state. The derived equation is solved analytically. A new shape of the domain wall is presented by the new kink solution of the obtained equation. The width and surface tension of the domain wall is presented as a function of the magnetic field strength, temperature, and Dingle temperature. They exhibit the critical behavior typical of the mean-field theory of second-order phase transitions. The calculated critical exponents are in agreement with nuclear magnetic resonance, muon spin-rotation spectroscopy and Hall probes measurements.