Statistical Stability of the Preisach Diagram for Particles of γ-Fe2O3

Abstract

An experiment is described that enables the statistical stability of the Preisach diagram for interacting ferromagnetic particles to be tested. The samples used were of γ—Fe2O3 dispersed in a nonferromagnetic matrix to a nominal packing density of 20% by volume. Both oriented and nonoriented samples were examined. In every case the diagram was found to be stable over most of the area bounded by the major remanence loop. The region of departure from stability occurred at the higher levels of remanent intensity. A method of calculating the diagrams using only dc measurements is given. They are then used to predict accurately the ascending remanence curve after ac demagnetization for each sample. Finally, it is shown how the experimental ascending and descending remanence curves, which could not be explained by Wohlfarth's relations [J. Appl. Phys. 29, 595 (1958)] based on noninteracting particles, can be completely described in terms of the Preisach diagram.

Hysteresis Phenomena in Biology

“…Since its publication in the 1930s of the last century (Preisach 1935), the model has been further developed and improved and many valuable facts have been accumulated (Everett and Whitton 1952;Everett 1954Everett , 1955Enderby 1956;Biorci and Pescetti 1958, 1959, 1966Brown 1962;Bate 1962;Woodward and Della Torre 1960;Della Torre 1965;Damlanian and Visintin 1983;Visintin 1984;Barker et al 1985;Brokate and Visintin 1989;. Since its publication in the 1930s of the last century (Preisach 1935), the model has been further developed and improved and many valuable facts have been accumulated (Everett and Whitton 1952;Everett 1954Everett , 1955Enderby 1956;Biorci and Pescetti 1958, 1959, 1966Brown 1962;Bate 1962;Woodward and Della Torre 1960;Della Torre 1965;Damlanian and Visintin 1983;Visintin 1984;Barker et al 1985;Brokate and Visintin 1989;.…”

A possible alternative to Preisach's model of static hysteresis

“…It has long been shown [6], however, that such an argument cannot be used in general because the very concept of an effective field fails to apply to hysteretic systems. For the same reason, also the interpretation of the model failures in terms of a so-called ,,statistical instability, [7,8] cannot be defended. As a matter of fact, Preisach's model is better seen merely as a mathematical description of hysteretic phenomena, indeed devoid of actual physical contents [1].…”

Identification method analyses for the scalar generalized moving Preisach model using major hysteresis loops

“…They only determine the parameters describing these functions from experimental data. b) Nonparametric identifications [8], [15], [16] that interpolate experimental or processed data; they are more difficult and usually use many intricate measurements of magnetization processes. For example, the method presented in [8] uses second-order reversal curve; moreover, as it requires second partial differentiation of measured data, it amplifies the noise and is very difficult to use.…”