Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-04-10
Phys.Rev.D78:026001,2008
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, 5 figures; v2: references added, typos fixed
Scientific paper
10.1103/PhysRevD.78.026001
It can be expected that the respective endpoints of the Gregory-Laflamme black brane instability and the Rayleigh-Plateau membrane instability are related because the bifurcation diagrams of the black hole-black string system and the liquid drop-liquid bridge system display many similarities. In this paper, we investigate the non-linear dynamics of the Rayleigh-Plateau instability in a range of dimensions, including the critical dimension at which the phase structure changes. We show that near the critical dimension and above, depending on a parameter in initial conditions an unstable cylinder will either pinch off or converge to an equilibrium state. The equilibrium state is apparently non-uniform but has a constant mean curvature everywhere. The results suggest that in the gravity side, near the critical dimension and above, the final state of an unstable black string (which is not too long) is a non-uniform black string. The equation of motion adopted to describe the dynamics is the surface diffusion equation, which was originally proposed to describe a grooving process of heated metal surfaces. An interesting correspondence between the diffusion dynamics and black hole (thermo)dynamics is discussed.
No associations
LandOfFree
Curvature driven diffusion, Rayleigh-Plateau, and Gregory-Laflamme 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 Curvature driven diffusion, Rayleigh-Plateau, and Gregory-Laflamme, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curvature driven diffusion, Rayleigh-Plateau, and Gregory-Laflamme will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-356263