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Commit ee5694d0 authored by Giovanni Bussi's avatar Giovanni Bussi
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Typos in tutorials

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...@@ -91,7 +91,7 @@ The value of restraint.force2 is the squared force (which is a proxy of the forc ...@@ -91,7 +91,7 @@ The value of restraint.force2 is the squared force (which is a proxy of the forc
Note that the actual force on an atom of the system involved in a CV is instead Note that the actual force on an atom of the system involved in a CV is instead
\f{eqnarray*}{ \f{eqnarray*}{
-\frac{\partial H_\lambda(X,t)}{\partial x_i}&=& -\frac{\partial H_\lambda(X,t)}{\partial s} \frac{\partial s}{\partial x_i} &=& -(s(X)-s_0-vt) \frac{\partial s}{\partial x_i} -\frac{\partial H_\lambda(X,t)}{\partial x_i}&=& -\frac{\partial H_\lambda(X,t)}{\partial s} \frac{\partial s}{\partial x_i} \\ &=& -(s(X)-s_0-vt) \frac{\partial s}{\partial x_i}
\f} \f}
This is important because in CVs that have a derivative that change significantly with space then you might have regions in which no force is exerted while in others you This is important because in CVs that have a derivative that change significantly with space then you might have regions in which no force is exerted while in others you
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...@@ -48,9 +48,7 @@ equilibrium free-energy, due to hysteresis. Instead, in the bias-exchange approa ...@@ -48,9 +48,7 @@ equilibrium free-energy, due to hysteresis. Instead, in the bias-exchange approa
The probability to accept the exchange is given by a Metropolis rule: The probability to accept the exchange is given by a Metropolis rule:
\f[ \f[
\begin{eqnarray}
\min\left( 1, \exp \left[ \beta ( V_G^a(x^a,t)+V_G^b(x^b,t)-V_G^a(x^b,t)-V_G^b(x^a,t) ) \right] \right) \min\left( 1, \exp \left[ \beta ( V_G^a(x^a,t)+V_G^b(x^b,t)-V_G^a(x^b,t)-V_G^b(x^a,t) ) \right] \right)
\end{eqnarray}
\f] \f]
where \f$ x^{a} \f$ and \f$ x^{b} \f$ are the coordinates of replicas \f$a \f$ and \f$ b \f$ where \f$ x^{a} \f$ and \f$ x^{b} \f$ are the coordinates of replicas \f$a \f$ and \f$ b \f$
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