Spin-Half Paramagnet and Curie Law

The magnetic properties of a system of independent spin-half particles provide a fundamental illustration of statistical mechanics. In an external magnetic field, each magnetic moment can align either parallel or antiparallel to the field, leading to a net magnetization.

Experiment

You can interact with the Spin-Half Paramagnet and Curie Law module to observe how temperature and field affect the system.

1. Set Thermal scale to 1 and Field scale to 1. Note the magnetization is about 0.762.
2. Decrease the Thermal scale to 0.25 while keeping the field at 1. The magnetization increases to near 0.999, demonstrating saturation as thermal fluctuations diminish.
3. Set Thermal scale to 0 and observe the zero-temperature limit, where the moments are perfectly aligned with the field, giving a magnetization of 1.