Statistical mechanics of covariant systems with multi-fingered time

Goffredo Chirco 1, 2 Thibaut Josset 1, 2
Abstract : Recently, in [Class. Quantum Grav. 33 (2016) 045005], the authors proposed a new approach extending the framework of statistical mechanics to reparametrization-invariant systems with no additional gauges. In this work, the approach is generalized to systems defined by more than one Hamiltonian constraints (multi-fingered time). We show how well known features as the Ehrenfest- Tolman effect and the J\"uttner distribution for the relativistic gas can be consistently recovered from a covariant approach in the multi-fingered framework. Eventually, the crucial role played by the interaction in the definition of a global notion of equilibrium is discussed.
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Soumis le : mercredi 25 avril 2018 - 15:24:27
Dernière modification le : jeudi 26 avril 2018 - 10:00:24
Document(s) archivé(s) le : mardi 25 septembre 2018 - 05:19:15


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  • HAL Id : hal-01476567, version 1
  • ARXIV : 1606.04444



Goffredo Chirco, Thibaut Josset. Statistical mechanics of covariant systems with multi-fingered time. 5 pages, 2 figures. 2018. 〈hal-01476567〉



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