On the information content of the difference from hamiltonian evolution

TL;DR

This paper introduces a dissipative extension of Hamiltonian mechanics based on minimal information deviation, capable of modeling phenomena like viscosity, plasticity, damage, and contact, advancing the theoretical framework of physical systems.

Contribution

It proposes a novel dissipative Hamiltonian framework using minimal information principles, unifying various dissipative phenomena within a single theoretical approach.

Findings

Models viscosity, plasticity, damage, and contact within the dissipative Hamiltonian framework.

Demonstrates the theoretical consistency of the approach with classical dissipative phenomena.

Extends previous work to include a broader class of dissipative effects.

Abstract

A dissipative version of hamiltonian mechanics is proposed via a principle of minimal information content of the deviation from hamiltonian evolution. We show that we can cover viscosity, plasticity, damage and unilateral contact. This article continues arXiv:1807.10480