BH5 - Geometric approaches to the thermodynamics of black holes |
|
Speaker |
Gruber, Christine |
|
Coauthors |
Bravetti, Alessandro; Lopez-Monsalvo, Cesar S. |
| Talk Title |
Black Hole Thermodynamics In Finite Time |
|
Abstract |
Finite-time thermodynamics provides the means to revisit ideal thermodynamic equilibrium processes in the light of reality and investigate the energetic "price of haste", i.e. the consequences when a process is carried out in finite time, and perfect equilibrium cannot be awaited due to economic reasons or the nature of the process. Employing the formalism of geometric thermodynamics, a lower bound on the energy dissipated during a process is derived from the thermodynamic length of that process. The notion of length is hereby defined via a metric structure on the space of equilibrium thermodynamics, spanned by a set of thermodynamic variables describing the system. Since the aim of finite-time thermodynamics is to obtain realistic limitations on idealized scenarios, it is a useful tool to reassess the efficiency of thermodynamic processes. While it has wide applications in industrial contexts, we will examine its implications for black hole thermodynamics. In particular we investigate scenarios inspired by the Penrose process, a thought experiment by which work can be extracted from a rotating black hole, and consider a Kerr black hole which, by some mechanism, is losing mass and angular momentum. Thermodynamically speaking, such a process is described in the equilibrium phase space of the black hole, but technically, it is neither reversible nor infinitely slow. We thus calculate the dissipated energy due to non-ideal finite-time realisations of the mechanism. |
|
Talk view |
|
|
|
|