Complexity and disequilibrium in the dipole-type Hamiltonian mean-field model

Abstract

This research studies information properties, such as complexity and disequilibrium, in the dipole-type Hamiltonian mean-field model. A fundamental analytical assessment is the partition function in the canonical ensemble to derive statistical, thermodynamical, and information measures. They are also analytical, dependent on the number of particles, consistent with the theory for high temperatures, and rising some limitations at shallow temperatures, giving us a notion of the classicality of the system defining an interval of temperatures where the model is well working.