English

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

Classical Physics 2023-04-10 v1

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.

Keywords

Cite

@article{arxiv.2302.02823,
  title  = {Non-holonomic constraints: Considerations on the least action principle also from a thermodynamic viewpoint},
  author = {Umberto Lucia and Giulia Grisolia},
  journal= {arXiv preprint arXiv:2302.02823},
  year   = {2023}
}

Comments

12 pages. arXiv admin note: substantial text overlap with arXiv:1102.2888