2024/11/04 by I. Ya. Aref’eva, Aref'eva, Irina, Daniil Stepanenko +3
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Optical properties and cooling technologies in crystalline materials
paper · pdf · doi:10.48550/arxiv.2411.01778
openalex publication_date 2024/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the thermodynamics of black holes in asymptotically flat space, the third law of thermodynamics is violated, and entropy cannot be consistently modeled through conventional statistical mechanics. Notably, the third law of thermodynamics is violated for the Schwarzschild black hole, and its entropy can only be described using an unconventional model, such as a Bose gas in negative dimensions. In contrast, for certain black brane solutions such as Poincare AdS black branes, Lifshitz black branes, and anisotropic Lifshitz-type black branes, the third law is preserved, with entropy vanishing as temperature approaches zero. In this paper, we extend the previously established duality between black hole and Bose gas thermodynamics to black branes. Specifically, the Poincare black brane in D spacetime dimensions corresponds to a non-relativistic Bose gas in 2(D-2) spatial dimensions. Furthermore, the duality between Lifshitz branes and Bose gases relates a Lifshitz brane with exponent α in D-dimensional spacetime to a Bose gas of quasi-particles with energy kα in D-2 spatial dimensions.