Wolfram Demonstrations Project

13,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

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.

[more]

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.

[less]

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

Details

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].

Reference

[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.

Snapshots

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
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.
Send