Stochastic stabilization of cosmological photons

Details Stochastic stabilization of cosmological photons Stochastic stabilization of cosmological photons

2003-05-28

arxiv.org/abs/nlin/0305056v2

J.Phys. A37 (2004) L377

Nonlinear Sciences

Chaotic Dynamics

4 pages, 3 postscript figures in color which are also appropriate for black and white printers; v2 emphasizes relevance to fla

Scientific paper

10.1088/0305-4470/37/30/L03

The stability of photon trajectories in models of the Universe that have constant spatial curvature is determined by the sign of the curvature: they are exponentially unstable if the curvature is negative and stable if it is positive or zero. We demonstrate that random fluctuations in the curvature provide an additional stabilizing mechanism. This mechanism is analogous to the one responsible for stabilizing the stochastic Kapitsa pendulum. When the mean curvature is negative it is capable of stabilizing the photon trajectories; when the mean curvature is zero or positive it determines the characteristic frequency with which neighbouring trajectories oscillate about each other. In constant negative curvature models of the Universe that have compact topology, exponential instability implies chaos (e.g. mixing) in the photon dynamics. We discuss some consequences of stochastic stabilization in this context.

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