Active Spin Model with Volume Exclusion - Claude

you can use the state space in comments and clarify that it is volume exlusion (at most one particle at a given site) with vacancies. the model goes like: we need a set of events: % \item Main local events include: % \begin{itemize} % \item Rotate left at site $(x,y)$: $\texttt{rot}^-(x,y)$ % \item Rotate right at site $(x,y)$: $\texttt{rot}^+(x,y)$ % \item Flip at site $(x,y)$: $\texttt{flip}(x,y)$ % \item Hop from site $(x,y)$: $\texttt{hop}(x,y)$ % \end{itemize} some other events: death(x), birth(x), transport(x; direction) (for transport with flow for example) once we have the set of allowed events we assign rates to events per configuration (or dynamics) and that gives us the Markov process sigma one missing ingredient is the boundary conditions: we have special cells set (these will be static) {obstacles, sinks, sources} and of course these will be taken into acount in the rates. for examples migrati

you can use the state space in comments and clarify that it is volume exlusion (at most one particle at a given site) with vacancies. the model goes like: we need a set of events: % \item Main local events include: % \begin{itemize} % \item Rotate left at site $(x,y)$: $\texttt{rot}^-(x,y)$ % \item Rotate right at site $(x,y)$: $\texttt{rot}^+(x,y)$ % \item Flip at site $(x,y)$: $\texttt{flip}(x,y)$ % \item Hop from site $(x,y)$: $\texttt{hop}(x,y)$ % \end{itemize} some other events: death(x), birth(x), transport(x

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• Zakarya El Khiyati