One-dimensional chemical master equations: Uniqueness and analytical form of certain solutions

Samoilov, Michael; Ross, John
May 1995
Journal of Chemical Physics;5/22/1995, Vol. 102 Issue 20, p7983
Academic Journal
The eikonal (WKB) approximation is applied to a stationary one-dimensional master equation describing an arbitrary reaction mechanism. The uniqueness of a nontrivial (fluctuational) eikonal solution is proven. Consistent eikonal and exact analytical solutions are obtained for systems with an arbitrary, but unique step size of stochastic transitions. An analytical eikonal solution for the stationary probability density for systems with mixed step sizes of 1 and 2 is also obtained and found to differ significantly from the systems with a uniform step size, particularly in the case of multiple stationary states. © 1995 American Institute of Physics.


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