| Autor: |
García-Ariza, Miguel Ángel |
| Rok vydání: |
2018 |
| Předmět: |
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| Zdroj: |
SIGMA 15 (2019), 015, 14 pages |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.3842/SIGMA.2019.015 |
| Popis: |
This paper presents a rigorous treatment of the concept of extensivity in equilibrium thermodynamics from a geometric point of view. This is achieved by endowing the manifold of equilibrium states of a system with a smooth atlas that is compatible with the pseudogroup of transformations on a vector space that preserve the radial vector field. The resulting geometric structure allows for accurate definitions of extensive differential forms and scaling, and the well-known relationship between both is reproduced. This structure is represented by a global vector field that is locally written as a radial one. The submanifolds that are transversal to it are embedded, and locally defined by extensive functions. |
| Databáze: |
arXiv |
| Externí odkaz: |
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