Commit e4a3da65 authored by Michael Wimmer's avatar Michael Wimmer
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fix math error

parent f839d649
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......@@ -156,7 +156,7 @@ with probability $\omega_{XX^\prime}$. This is the so-called "trial move". We th
i.e. set $R_{i+1} = R'$. If we don't accept it, we take the old state again, $R_{i+1} = R$. Altogether, the probability of going to a state new state ($T(X^\prime \rightarrow X)$)
is the product of proposing it ($\omega_{RR^\prime}$) and accepting it ($A_{RR^\prime})$.
The problem can we further simplified by demanding that $\omega_{RR^\prime}=\omega_{R^\prime R} - the trial move should have a symmetric probability of going from $R$ to $R^\prime$
The problem can we further simplified by demanding that $\omega_{RR^\prime}=\omega_{R^\prime R}$ - the trial move should have a symmetric probability of going from $R$ to $R^\prime$
and vice versa. The detailed balance equation then reduces to:
$$\frac{A_{R^\prime R}}{A_{RR^\prime}} = \frac{p(R)}{p(R^\prime)} \tag{4}$$
Metropolis \emph{et al.} solved this as:
......
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