3 papers
math.SG2026
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…
physics.comp-ph2025
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.…
physics.flu-dyn2025
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…