Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-07-15
Physics
Condensed Matter
Statistical Mechanics
4 pages, 7 figures
Scientific paper
We consider a prototypical nonlinear system which can be stabilized by multiplicative noise: an underdamped non-linear pendulum with a stochastically vibrating pivot. A numerical solution of the pertinent Fokker-Planck equation shows that the upper equilibrium point of the pendulum can become stable even when the noise is white, and the "Kapitsa pendulum" effect is not at work. The stabilization occurs in a strong-noise regime where WKB approximation does not hold.
Meerson Baruch
Simons Yuval B.
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