Formulation of the Everett function using least square method

The Preisach model needs a distribution function or Everett function to simulate the hysteresis phenomena. To obtain these functions, many experimental data obtained from the first order transition curves are required. In this paper, a simple procedure to determine the Everett function analytically using the Gaussian distribution function and least square method is proposed. The Everett function for the interaction field axis is known to have Gaussian distribution and it needs three points to determine the Gaussian parameters. Another one or more points are used to compensate the experimental errors by the least square method. We got good agreement for comparing the simulation results with the experimental ones.