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Infinite-dimensional Lagrange-Dirac systems with boundary energy flow II: Field theories with bundle-valued forms
François Gay-Balmaz, Álvaro Rodríguez Abella, Hiroaki Yoshimura
Part I of this paper introduced the infinite dimensional Lagrange-Dirac theory for physical systems on the space of differential forms over a smooth manifold with boundary. This ap…
Variational formulation of stochastic thermodynamics: Finite-dimensional systems
Héctor Vaquero del Pino, François Gay-Balmaz, Hiroaki Yoshimura +1
In this paper, we develop a variational foundation for stochastic thermodynamics of finite-dimensional, continuous-time systems. Requiring the second law (non-negative average tota…
Infinite-dimensional Lagrange-Dirac systems with boundary energy flow I: Foundations
François Gay-Balmaz, Álvaro Rodríguez Abella, Hiroaki Yoshimura
A new geometric approach to systems with boundary energy flow is developed using infinite-dimensional Dirac structures within the Lagrangian formalism. This framework satisfies a l…