The Flowing BIon

Abstract

In this paper we use the effective blackfold description of branes to extend the study of the thermal BIon, a D-brane and parallel anti-D-brane connected by a wormhole with F-string charge in hot flat space, by introducing a radial boost along the brane. The boosted system behaves qualitatively differently from both the extremal and the thermal BIon considered previously. Interestingly, we are able to formulate a first law of thermodynamics for the system as a whole, despite the fact that it is not a stationary blackfold. In particular, the global temperature is given by the rest frame temperature times the gamma factor of special relativity which is the inverse transformation compared to the case of stationary blackfolds. In addition we define two new kinds of thermodynamic conjugate variables, the energy flux $W$ and the integrated velocity on the brane. We find that a phase transition occurs by varying the energy flux $W$. Below a critical value of $W$ the brane separation $\Delta$ changes only slightly with $W$. Instead above the critical value $\Delta$ grows exponentially.

26 pages, 6 figures. v2: Introduction and conclusion improved, references added

References in corpus (8)

• Black Holes as Lumps of Fluid
• AdS flowing black funnels: Stationary AdS black holes with non-Killing horizons and heat transport in the dual CFT
• Thermodynamics of the hot BIon
• Flowing Funnels: Heat sources for field theories and the AdS_3 dual of CFT_2 Hawking radiation
• Strings ending on branes from supergravity
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Cited by in corpus (1)

• Emergence and expansion of cosmic space in an accelerating BIon