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Contact geometry for simple thermodynamical systems with friction

Mathematical Physics 2020-04-07 v1 math.MP

Abstract

Using contact geometry we give a new characterization of a simple but important class of thermodynamical systems which naturally satisfy the first law of thermodynamics (total energy preservation) and the second law (increase of entropy). We completely clarify its qualitative dynamics, the underlying geometrical structures and we show how to use discrete gradient methods.

Keywords

Cite

@article{arxiv.2004.01989,
  title  = {Contact geometry for simple thermodynamical systems with friction},
  author = {Alexandre Anahory Simoes and Manuel de León and Manuel Lainz Valcázar and David Martín de Diego},
  journal= {arXiv preprint arXiv:2004.01989},
  year   = {2020}
}
R2 v1 2026-06-23T14:39:23.735Z