The higher order moments of the fluctuations for the thermodynamical systems
in the presence of fields are investigated in the framework of a theoretical
method. The metod uses a generalized statistical ensemble consonant with the
adequate expression for the generalized internal energy. The applications refer
to the case of a system in magnetoquasistatic field. In the case of linear
magnetic media one finds that for the description of the magnetic induction
fluctuations the Gaussian approximation is good enough. For nonlinear media the
coresponding fluctuations are non-Gaussian, they having a non-null asymmetry.
Aditionally the respective fluctuations have characteristics of leptokurtic,
mesokurtic and platykurtic type, depending of the value of the magnetic field
strength comparatively with a scaling factor of the magnetization curve.Comment: 10 pages, REVTe