QUENCHING DYNAMICS OF SPIN SYSTEMS WITH DISCRETE SYMMETRY: A GATEWAY TO STUDY OPINION DYNAMICS WITH MULTIPLE DISCRETE OPINION

Abstract

A magnetic system is a set of magnetic dipoles, often called spins, where each one is a vertex of a lattice. In these kinds of systems, the spins might interact with each others in diferent ways, being able to exchange energy. The diferent ways the spins interact on the system results in diferent models. In these systems, there is a measure of the order in the system called order parameter. The value of the order parameter is 1 when the system is in complete order and 0 when it is in complete disorder. For example, in ferromagnetic interaction, the order parameter is usually the magnetization. We will study the dynamics of discrete spin systems. The phenomena in which the temperature of a system is suddenly dropped from a very high temperature to a very low temperature without allowing real time to change are known as quenching dynamics