Reaction Operator

Available identifiers

MaRDI QIDQ6775378

reaction operator used in the reaction diffusion master equation

Defining Formula: $\begin{array}{rl}{ℛ}f(\mathbf{𝐧},\mathbf{𝐦}):\equiv & k_1\{f({{𝒪}}_1^{-}\mathbf{𝐧},\mathbf{𝐦})-f(\mathbf{𝐧},\mathbf{𝐦})\}\\ & +k_2\sum _{i=1}^K\{(n_i+1)f({{𝒪}}_i^{+}\mathbf{𝐧},{{𝒪}}_i^{-}\mathbf{𝐦})-n_{i}f(\mathbf{𝐧},\mathbf{𝐦})\}\\ & +k_3\sum _{i=1}^K\{(m_i+1)f(\mathbf{𝐧},{{𝒪}}_i^{+}\mathbf{𝐦})-m_{i}f(\mathbf{𝐧},\mathbf{𝐦})\}.\end{array}$

${{𝒪}}_i^{+}$ symbol represents Operators Oi Plus

${{𝒪}}_i^{-}$ symbol represents Operators Oi Minus

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