Abstract
The Kinetic Exchange Models represent a charming topic in both interdisciplinary physics, e.g. in the study of economy models and opinion dynamics, as well as in condensed matter physics, where they represent a simple but effective kinetic model of perfect gas, with the peculiar feature that the dimension D of the system is a real variable which can be tuned continuously. Here we study kinetic models of energy exchange between particles of a perfect gas in D dimensions and discuss their relaxation toward the canonical equilibrium characterized by the energy distribution in D dimensions (\(D \in \mathbb {R}\)), comparing various theoretical approaches with results from numerical simulations.
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