# Metriplectic Structure of a Radiation–Matter-Interaction Toy Model

@article{Materassi2018MetriplecticSO, title={Metriplectic Structure of a Radiation–Matter-Interaction Toy Model}, author={Massimo Materassi and Giulia Marcucci and Claudio Conti}, journal={Entropy}, year={2018}, volume={24} }

A dynamical system defined by a metriplectic structure is a dissipative model characterized by a specific pair of tensors, which defines a Leibniz bracket; and a free energy, formed by a “Hamiltonian” and an entropy, playing the role of dynamics generator. Generally, these tensors are a Poisson bracket tensor, describing the Hamiltonian part of the dynamics, and a symmetric metric tensor, that models purely dissipative dynamics. In this paper, the metriplectic system describing a simplified two…

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