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arXiv · 2404.04092

Generating functions for irreversible Hamiltonian systems

Dan Goreac·Jonas Kirchhoff·Bernhard Maschke
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Abstract

The definition of conservative-irreversible functions is extended to smooth manifolds. The local representation of these functions is studied and reveals that not each conservative-irreversible function is given by the weighted product of almost Poisson brackets. The biquadratic functions given by conservative-irreversible functions are studied and reveal a possibility for an algebraic framework on arbitrary and in particular complex algebras.

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Dan Goreac, Jonas Kirchhoff, Bernhard Maschke. 2024-04-05. Generating functions for irreversible Hamiltonian systems. https://arxiv.org/abs/2404.04092

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