Steady-state stochastic master equation

The steady-state concentration of KJHsCFg molecules corresponding to the ith energy interval ([ K HgCFsli) can be calculated via die steady-state stochastic master equation (Equations 16 and 17). Here... 

A further discussion of the Schlogl reaction provides an illustration of an important difference in the behavior of steady states in deterministic systems and in systems subject to stochastic fluctuations. In contrast to the deterministic Schlogl system analyzed earlier in terms of conventional chemical concentrations, the analysis of the stochastic system is carried out in terms of the probability that there are n x t) molecules in the system at time t in addition to nA = a and n-Q = b molecules of A and B that are held constant. Figure 6.2 illustrates the individual pathways and rates by which a system with n molecules could undergo a transition to a system containing either n -f 1 or n — 1 molecules. This leads to the master equation for each of the... 

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