Ideal Social Gas

This work continues the one commenced in a previous one, where the key idea is that individual stances on a social matter can be modeled as positions of particles in physics. Here, we explore the aggregation of individual behavior as a microscopic model of social phenomena to obtain quantities characterizing a society as a whole, similar to the resulting thermodynamical quantities at the macroscopic scale. We follow the theoretical framework of statistical mechanics with a Boltzmann distribution. Notwithstanding the fact that the translation of physical concepts need to be adequately motivated, a key distinction with respect to the physical case is that a social particle has a position-dependent mass. From such a generalization we obtain a simple example to illustrate the possibilities of such an approach based on the ideal gas model in physics. As a result, we find that the social phenomena can be modeled as a gas under the assumptions considered here. We discuss how several concepts and their relations reasonably translate from physical to social phenomena.