<math> \nabla^2 T(\mathbf{r}) = - \frac{w(\mathbf{r})}{k} \quad \leftrightarrow \quad \nabla^2 \Phi(\mathbf{r}) = -\frac{\rho(\mathbf{r})}{\epsilon} </math>
It is important to note that there is One can see a one-to-one correspondence between the electrostatic and thermal simulation entitiesquantities:Temperature T is analogous to the electric scalar potential Φ, the volume heat source density w is analogous to the volume charge density ρ, and the thermal conductivity k is analogous to the permittivity ε.
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