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6 papers · 1 filter
Lagrangian trajectories and closure models in mixed quantum-classical dynamics
Cesare Tronci, François Gay-Balmaz
Mixed quantum-classical models have been proposed in several contexts to overcome the computational challenges of fully quantum approaches. However, current models typically suffer…
Madelung transform and probability densities in hybrid classical-quantum dynamics
François Gay-Balmaz, Cesare Tronci
This paper extends the Madelung-Bohm formulation of quantum mechanics to describe the time-reversible interaction of classical and quantum systems. The symplectic geometry of the M…
From Lagrangian mechanics to nonequilibrium thermodynamics: a variational perspective
François Gay-Balmaz, Hiroaki Yoshimura
In this paper, we survey our recent results on the variational formulation of nonequilibrium thermodynamics for the finite dimensional case of discrete systems as well as for the i…
A Variational Formulation of Nonequilibrium Thermodynamics for Discrete Open Systems with Mass and Heat Transfer
François Gay-Balmaz, Hiroaki Yoshimura
We propose a variational formulation for the nonequilibrium thermodynamics of discrete open systems, i.e., discrete systems which can exchange mass and heat with the exterior. Our…
Koopman wavefunctions and classical-quantum correlation dynamics
Denys I. Bondar, François Gay-Balmaz, Cesare Tronci
Upon revisiting the Hamiltonian structure of classical wavefunctions in Koopman-von Neumann theory, this paper addresses the long-standing problem of formulating a dynamical theory…
Integrable G-Strands on semisimple Lie groups
François Gay-Balmaz, Darryl D. Holm, Tudor S. Ratiu
The present paper derives systems of partial differential equations that admit a quadratic zero curvature representation for an arbitrary real semisimple Lie algebra. It also deter…