Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-03-20
Phys.Lett.B664:103-106,2008
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, 4 figures, 1 table; v2 reference added
Scientific paper
10.1016/j.physletb.2008.05.010
Analyzing a capillary minimizing problem for a higher-dimensional extended fluid, we find that there exist startling similarities between the black hole-black string system (the Gregory-Laflamme instability) and the liquid drop-liquid bridge system (the Rayleigh-Plateau instability), which were first suggested by a perturbative approach. In the extended fluid system, we confirm the existence of the critical dimension above which the non-uniform bridge (NUB, i.e., {\it Delaunay unduloid}) serves as the global minimizer of surface area. We also find a variety of phase structures (one or two cusps in the volume-area phase diagram) near the critical dimension. Applying a catastrophe theory, we predict that in the 9 dimensional (9D) space and below, we have the first order transition from a uniform bridge (UB) to a spherical drop (SD), while in the 10D space and above, we expect the transition such that UB $\to$ NUB $\to$ SD. This gives an important indication for a transition in the black hole-black string system.
Maeda Kei--ichi
Miyamoto Umpei
No associations
LandOfFree
Liquid bridges and black strings in higher dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Liquid bridges and black strings in higher dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Liquid bridges and black strings in higher dimensions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-578299