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math-ph2026
Dirac structures on tangent bundles: a geometric framework for variational principles, constrained dynamics, and symmetry reduction
Hiroaki Yoshimura
We introduce a Dirac structure on the tangent bundle of a configuration manifold, called a \textit{Lagrange--Dirac structure}, which is naturally induced by the Lagrangian two-form…
cond-mat.stat-mech2026
A variational formulation of stochastic thermodynamics: Spatially extended systems
Héctor Vaquero del Pino, François Gay-Balmaz, Hiroaki Yoshimura +1
Stochastic field theories are often constructed phenomenologically, without a systematic assessment of thermodynamic consistency or local detailed balance. This may hinder a physic…