Elasticity typically refers to a material's ability to store energy, whereas viscosity refers to a
material's tendency to dissipate it. In this review, we discuss fluids and solids for which this is …

The standard hydrodynamic Drude model with hard-wall boundary conditions can give
accurate quantitative predictions for the optical response of noble-metal nanoparticles …

Hamiltonian and action principle (HAP) formulations of plasma physics are reviewed for the
purpose of explaining structure preserving numerical algorithms. Geometric structures …

Gyrokinetic field theory is addressed in the context of a general Hamiltonian. The
background magnetic geometry is static and axisymmetric and all dependence of the …

We propose an effective and light-weight learning algorithm, Symplectic Taylor Neural
Networks (Taylor-nets), to conduct continuous, long-term predictions of a complex …

This article reviews recent activity on the Hamiltonian formulation of fluid models for plasmas
in the non-dissipative limit, with emphasis on the relations between the fluid closures …

An inclusive framework for joined Hamiltonian and dissipative dynamical systems that are
thermodynamically consistent, ie, preserve energy and produce entropy, is given. The …

Predicting the behaviors of Hamiltonian systems has been drawing increasing attention in
scientific machine learning. However, the vast majority of the literature was focused on …

A theory for lifting equations of motion for charged particle dynamics, subject to given
electromagnetic like forces, up to a gauge-free system of coupled Hamiltonian Vlasov …

Bracket formulations of two kinds of dynamical systems, called incomplete and complete, are
reviewed and developed, including double bracket and metriplectic dynamics. Dissipation …