Abstract
We investigate the spin magnetism of mesoscopic metallic grains. In the average response of an ensemble of grains there are corrections to macroscopic behavior due to both spectral fluctuations and electron-electron interactions. These corrections are a nonlinear function of the magnetic field. Their temperature dependence is calculated numerically and analytically. An experiment is proposed to measure the unknown interaction coupling constant in the Cooper channel. For a single sample the magnetization is found to fluctuate reproducibly about the mean. These fluctuations directly probe the energy level statistics.
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