35 citations · 57 across the 9 of their papers we have counts for
9 papers
Metriplectic dynamical systems on contact manifolds
Philip J. Morrison, Yong-Geun Oh
Flows on symplectic, Poisson, contact, and metriplectic manifolds are reviewed in order to describe our main result, which is to associate a natural metriplectic dynamical system o…
Metriplectic 4-bracket algorithm for constructing thermodynamically consistent dynamical systems
Azeddine Zaidni, Philip J. Morrison
A unified thermodynamic algorithm (UTA) is presented for constructing thermodynamically consistent dynamical systems, i.e., systems that have Hamiltonian and dissipative parts that…
A thermodynamically consistent discretization of 1D thermal-fluid models using their metriplectic 4-bracket structure
William Barham, Philip J. Morrison, Azeddine Zaidni
Thermodynamically consistent models in continuum physics, i.e. models which satisfy the first and second laws of thermodynamics, may be expressed using the metriplectic formalism.…
A Hamiltonian structure-preserving discretization of Maxwell's equations in nonlinear media
William Barham, Yaman Güçlü, Philip J. Morrison +1
A simple Hamiltonian modeling framework for general models in nonlinear optics is given. This framework is specialized to describe the Hamiltonian structure of electromagnetic phen…
A mimetic discretization of Westervelt's equation
William Barham, Philip J. Morrison
A broad class of nonlinear acoustic wave models possess a Hamiltonian structure in their dissipation-free limit and a gradient flow structure for their dissipative dynamics. This s…
On finite-dimensional smoothed-particle Hamiltonian reductions of the Vlasov equation
William Barham, Philip J. Morrison
The inclusion of spatial smoothing in finite-dimensional particle-based Hamiltonian reductions of the Vlasov equation are considered. In the context of the Vlasov-Poisson equation…
Thermodynamically consistent Cahn-Hilliard-Navier-Stokes equations using the metriplectic dynamics formalism
Azeddine Zaidni, Philip J Morrison, Saad Benjelloun
Cahn-Hilliard-Navier-Stokes (CHNS) systems describes flows with two-phases, e.g., a liquid with bubbles. Obtaining constitutive relations for general dissipative processes for such…
Hamiltonian Magnetohydrodynamics: Lagrangian, Eulerian, and Dynamically Accessible Stability - Theory
T. Andreussi, P. J. Morrison, F. Pegoraro
Stability conditions of magnetized plasma flows are obtained by exploiting the Hamiltonian structure of the magnetohydrodynamics (MHD) equations and, in particular, by using three…
Local thermodynamics of a magnetized, anisotropic plasma
R. D. Hazeltine, S. M. Mahajan, P. J. Morrison
An expression for the internal energy of a fluid element in a weakly coupled, magnetized, anisotropic plasma is derived from first principles. The result is a function of entropy,…