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arXiv · 1606.04444

Statistical mechanics of covariant systems with multi-fingered time

Goffredo Chirco·Thibaut Josset
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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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BibTeXRIS

Goffredo Chirco, Thibaut Josset. 2016-06-14. Statistical mechanics of covariant systems with multi-fingered time. https://doi.org/10.1007/s10701-021-00406-3

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