A Hamiltonian formulation of thermodynamics is presented on symplectic manifolds, with equilibrium states identified as Lagrangian submanifolds, demonstrated on the ideal gas and extended to irreversible processes and port-Hamiltonian systems.
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Hamiltonian thermodynamics on symplectic manifolds
A Hamiltonian formulation of thermodynamics is presented on symplectic manifolds, with equilibrium states identified as Lagrangian submanifolds, demonstrated on the ideal gas and extended to irreversible processes and port-Hamiltonian systems.