| Abstract: |
| We present a mathematical model for thermal diffusion induced by plasmonic heating using silver nanoparticles. We consider a two-dimension domain with a liquid region and areas where silver is deposited. The silver areas are illuminated with laser light, which causes local hot spots and temperature gradients. The liquid contains a species that is assumed to be temperature-sensitive, meaning that a flow of matter will occur due to the temperature gradient. This phenomenon is called the \emph{Soret effect}.
Because we are interested in modeling and simulating the Soret effect in this paper, we do not use a full Maxwell equations based description of the plasmonic heating. Instead we present a simplified heat source that has the same characteristics.
The heat equation for temperature and advection-diffusion equation for the species concentration are discretized using a finite volume method. The resulting nonlinear system is solved using Newton`s method. |
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