Generating functions for irreversible Hamiltonian systems
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909162984701952 |
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| author | Goreac, Dan Kirchhoff, Jonas Maschke, Bernhard |
| author_facet | Goreac, Dan Kirchhoff, Jonas Maschke, Bernhard |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_04092 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generating functions for irreversible Hamiltonian systems Goreac, Dan Kirchhoff, Jonas Maschke, Bernhard Mathematical Physics 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. |
| title | Generating functions for irreversible Hamiltonian systems |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2404.04092 |