Non-holonomic constraints: Considerations on the least action principle also from a thermodynamic viewpoint

Umberto Lucia; Giulia Grisolia

doi:10.1016/j.rinp.2023.106429

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arXiv · 2302.02823

Non-holonomic constraints: Considerations on the least action principle also from a thermodynamic viewpoint

Umberto Lucia·Giulia Grisolia

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Abstract

The principle of least action seems not to lead to equations describing the motion consistent with the physical behaviour, for non-holonomic constraints. Here, a response is proposed for this fundamental problem in Mathematical Physics. Some considerations are also developed, based on the first and second law of thermodynamics.

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Umberto Lucia, Giulia Grisolia. 2023-02-02. Non-holonomic constraints: Considerations on the least action principle also from a thermodynamic viewpoint. https://doi.org/10.1016/j.rinp.2023.106429

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