Chemical diffusion matrix
ID: chemical-diffusion-matrix
A reaction's stoichiometric vector outer product multiplied by its reaction propensity function is its contribution to the infinitesimal state-increment covariance. Summing over channels gives . Its normalized form divides by the two mean copy numbers. The Fokker-Planck equation writes the associated second-derivative term with ; the covariance evolution and normalized stationary Lyapunov equation instead use and themselves. A simultaneous unit loss of two species contributes positive cross noise even when their long-time stationary covariance is negative.
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