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The higher order moments of the fluctuations for the thermodynamical systemsin the presence of fields are investigated in the framework of a theoreticalmethod. The metod uses a generalized statistical ensemble consonant with theadequate expression for the generalized internal energy. The applications referto the case of a system in magnetoquasistatic field. In the case of linearmagnetic media one finds that for the description of the magnetic inductionfluctuations the Gaussian approximation is good enough. For nonlinear media thecoresponding 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 fieldstrength comparatively with a scaling factor of the magnetization curve.Comment: 10 pages, REVTe

Higher-order correlations for fluctuations in the presence of fields