Simple Model for Magnetic Hysteresis

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Hysteresis describes the behavior of a system that depends on its history. There are many examples of this phenomenon in magnetic and electrical materials, as well as in biology, sociology and other fields.


This Demonstration shows a simple one-dimensional system consisting of a small number of elementary magnets. The phenomenon of hysteresis is exhibited when the external field is changed.

You can run a different sequence using a new random seed.


Contributed by: Sunik Dennis (June 13)
Open content licensed under CC BY-NC-SA


The state of each cell depends on its two nearest neighbors, the external field and two internal parameters: 1. The weight of the switching energy (concurrency between influences of external field and neighbors) 2. The probability of the "wrong" magnetization (similar to a temperature)

Snapshot 1: when temperature is low, hysteresis is sharp and clear

Snapshot 2: with high temperature, hysteresis is broad

Snapshot 3: when influence of neighbors is strong, hysteresis is unclear and chaotic

This Demonstration is based on [1].


[1] A. Ehrmann and T. Blachowicz, "A Simple Model of Hysteresis Behavior Using Spreadsheet Analysis," Journal of Physics: Conference Series, 574(1), 2015 012158. doi:10.1088/1742-6596/574/1/012158.


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.