Formal proof that M-th order hypoequilibrium states constitute an invariant manifold under SEAQT evolution, with connection to RCCE for reduced-order modeling of nonequilibrium quantum systems.
A Theorem on Lyapunov Stability for Dynamical Systems and a Conjecture on a Property of Entropy.Journal of Mathematical Physics1986,27, 305–308
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Metriplectic systems converge to entropy extrema at fixed Hamiltonian under stated conditions; a Landau-inspired class reduces the check to two simpler conditions for use in equilibrium relaxation schemes.
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Evolution of Hypoequilibrium States in Steepest Entropy Ascent Models for Nonequilibrium Quantum Thermodynamics
Formal proof that M-th order hypoequilibrium states constitute an invariant manifold under SEAQT evolution, with connection to RCCE for reduced-order modeling of nonequilibrium quantum systems.
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Metriplectic relaxation to equilibria
Metriplectic systems converge to entropy extrema at fixed Hamiltonian under stated conditions; a Landau-inspired class reduces the check to two simpler conditions for use in equilibrium relaxation schemes.