### How does the external potential plugin work

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Hi,

I have been working with the ExternalPotential plugin. I couldn't find the model equations for this plugin in the manuals. After going through the source code, I came to the conclusion that this could be the underlying model equation,

$\Delta H_{force}=\lambda\sum_{pixels}\left(\vec{i'}-\vec{i}\right)$Δ

Is my understanding correct? What changes should I make to the equations? Why is the center of mass based equation additive in terms of energy?

Thanks.

I have been working with the ExternalPotential plugin. I couldn't find the model equations for this plugin in the manuals. After going through the source code, I came to the conclusion that this could be the underlying model equation,

$\Delta H_{force}=\lambda\sum_{pixels}\left(\vec{i'}-\vec{i}\right)$Δ

`H`_{ƒ orce}=λ∑_{pixels}(→`i`'−→`i`) for the pixelbased calculations and $\Delta H=\lambda\left(\vec{i_{com}'}+\vec{i_{com}}\right)$Δ`H`=λ(→`i`_{com}'+→`i`_{com}) for the center of mass based calculations.Is my understanding correct? What changes should I make to the equations? Why is the center of mass based equation additive in terms of energy?

Thanks.

Community: CompuCell3D

### 1 Answer

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Yes, your understanding is close to being correct. For the COM based algorithm it computes a displacement vector that would result if the pixel copy is accepted and takes a scalar product of this vector with the vector whose components in the in XML are specified using:

For pixel based algorithm we use similar logic except the first vector (displacement) is specified as a vector difference between target pixel and source pixel. The mechanism of the plugin, though, remains the same

`<ExternalPotentialParameters CellType="NonCondensing" x="-10" y="0" z="0"/>`

For pixel based algorithm we use similar logic except the first vector (displacement) is specified as a vector difference between target pixel and source pixel. The mechanism of the plugin, though, remains the same

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