Equilibrium configurations of fluids and their stability in higher dimensions
نویسندگان
چکیده
We study equilibrium shapes, stability and possible bifurcation diagrams of fluids in higher dimensions, held together by either surface tension or self-gravity. We consider the equilibrium shape and stability problem of self-gravitating spheroids, establishing the formalism to generalize the MacLaurin sequence to higher dimensions. We show that such simple models, of interest on their own, also provide accurate descriptions of their general relativistic relatives with event horizons. The examples worked out here hint at some model-independent dynamics, and thus at some universality: smooth objects seem always to be well described by both “replicas” (either self-gravity or surface tension). As an example, we exhibit an instability afflicting self-gravitating (Newtonian) fluid cylinders. This instability is the exact analogue, within Newtonian gravity, of the Gregory-Laflamme instability in general relativity. Another example considered is a self-gravitating Newtonian torus made of a homogeneous incompressible fluid. We recover the features of the black ring in general relativity.
منابع مشابه
Elastic stability of DNA configurations. I. General theory.
Results are presented in the theory of the elastic rod model for DNA, among which are criteria enabling one to determine whether a calculated equilibrium configuration of a DNA segment is stable in the sense that it gives a local minimum to the sum of the segment's elastic energy and the potential of forces acting on it. The derived stability criteria are applicable to plasmids and to linear se...
متن کاملشرایط گذار به اشتعال غیرتعادلی در افروزش حجمی هدفهای کروی ساده
In this Research, the transition from equilibrium ignition to non-equilibrium burn was studied by DEIRA4 code for simple spherical targets with the dimensions of several mm. It consisted of inner DT fuel and outer Au layers driven by the 209Bi heavy ions beam. Because of their higher plasma opacity, it was expected that they could trap much of the produced charged particles, radiation or even f...
متن کاملReduction of Reservoir Fluid Equilibrium Calculation for Peng-Robinson EOS with Zero Interaction Coefficients
For some of the EOS models the dimension of equilibrium problem can be reduced. Stability and difficulties in implementation are among the problems of flash calculation. In this work, a new reduction technique is presented to prepare a reduced number of equilibrium equations. Afterwards, a number of appropriate solution variables are selected for the prepared equation system to solve the equati...
متن کاملA quantum-mechanical investigation of functional group effect on 5,5'-disubstituted-1,1'-azobis(tetrazoles)
The present work reports the detailed B3LYP/6-311++G(d,p) study of most stable transand cisconfigurations photoisomerization in the core system of computational photochemistry-the 5,5'-disubstituted-1,1'-azobis (tetrazole) molecules. All computations were carried out in gas phase attemperature 293.15 K and pressure 1 atm. Firstly; the potential energy surface (PES) of the groundstate of the mol...
متن کاملAn Overview of Challenges and Errors in Sampling and Recombination of Gas Condensate Fluids
A proper understanding of reservoir fluid phase behavior is the first crucial step in the development and production of an oil/gas field. This paper addresses the challenges and errors associated with the fluid sampling that may arise before, during and after the sampling operation. For this aim, DST and PVT data of exploration and production wells of a supergiant offshore gas condensate reserv...
متن کامل