Fokker-Planck equation for bistable potential in the optimized expansion.

  title={Fokker-Planck equation for bistable potential in the optimized expansion.},
  author={Anna Okopińska},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={65 6 Pt 1},
  • A. Okopińska
  • Published 21 November 2001
  • Physics
  • Physical review. E, Statistical, nonlinear, and soft matter physics
The optimized expansion is used to formulate a systematic approximation scheme to the probability distribution of a stochastic system. The first-order approximation for the one-dimensional system driven by noise in an anharmonic potential is shown to agree well with the exact solution of the Fokker-Planck equation. Even for a bistable system the whole period of evolution to equilibrium is correctly described at various noise intensities. 
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