Bistable system



A rare event in a bistable system. Left: time-dependent probability density for a bistable system consisting of two competitive species. Right: a single realization of the system is simulated and plotted on top of the density. Note the scale of the time for this problem, explaining the term 'rare event'; the expected time for the system to switch its configuration is relatively long.

(Plot info: each axis tick is 25 molecules and the contour levels have been chosen by Matlab)

References

  • S. Engblom: Spectral Approximation of Solutions to the Chemical Master Equation, in J. Comput. Appl. Math. 229(1):208--221, 2009: (doi)
  • S. Engblom: Galerkin Spectral Method applied to the Chemical Master Equation, in Commun. Comput. Phys. 5(5):871--896, 2009: (abstract), (pdf).
    • Stefan Engblom
    Last modified: Thu May 10 11:04:19 MEST 2007