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This chapter provides an introduction to the fundamental physical ideas and models relevant to the phenomenon of magnetic hysteresis in nanoparticle assemblies. The concepts of single-domain particles and superparamagnetism are discussed. The mechanisms of magnetization by coherent rotation and the role of temperature in the gradual decay of magnetization are analyzed in the framework of simple analytical models. Modern numerical techniques (Monte Carlo simulations, Magnetization Dynamics) used to study dense nanoparticle assemblies are presented. An overview of the most common experimental techniques used to measure the magnetic hysteresis effect in nanoparticle assemblies are presented and the underlying principles are exposed.
preprint / 2010