Configuration entropy of a rotating quark-gluon plasma from holography. (English) Zbl 1539.81124
Summary: The configuration entropy (CE) provides a measure of the stability of physical systems that are spatially localized. An increase in the CE is associated with an increase in the instability of the system. In this work we apply a recently developed holographic description of a rotating plasma, in order to investigate the behaviour of the CE when the plasma has angular momentum. Considering the holographic dual to the plasma, namely a rotating AdS black hole, the CE is computed at different rotational speeds and temperatures. The result obtained shows not only an increase with the rotational speed \(v\) but, in particular, a divergence of the CE as \(v\) approaches the speed of light: \(v\to1\). We discuss an interpretation for the increase in the CE in terms of the emission of radiation from the black hole and from its dual plasma.
MSC:
| 81V05 | Strong interaction, including quantum chromodynamics |
| 05B30 | Other designs, configurations |
| 81V35 | Nuclear physics |
| 37A35 | Entropy and other invariants, isomorphism, classification in ergodic theory |
| 82D10 | Statistical mechanics of plasmas |
| 81T35 | Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) |
| 03C45 | Classification theory, stability, and related concepts in model theory |
| 30C45 | Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) |
| 83C57 | Black holes |
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