Reaction Operator

Available identifiers

reaction operator used in the reaction diffusion master equation

Defining Formula: $\begin{matrix} ℛ f (𝐧, 𝐦) : \equiv & k_{1} {f (𝒪_{1}^{-} 𝐧, 𝐦) - f (𝐧, 𝐦)} \\ + k_{2} \sum_{i = 1}^{K} {(n_{i} + 1) f (𝒪_{i}^{+} 𝐧, 𝒪_{i}^{-} 𝐦) - n_{i} f (𝐧, 𝐦)} \\ + k_{3} \sum_{i = 1}^{K} {(m_{i} + 1) f (𝐧, 𝒪_{i}^{+} 𝐦) - m_{i} f (𝐧, 𝐦)} . \end{matrix}$
$𝒪_{i}^{+}$ symbol represents Operators Oi Plus
$𝒪_{i}^{-}$ symbol represents Operators Oi Minus