Amit Chattopadhyay

Abstract:

Physics and mathematics have traditionally served as the technical knowledge bank of other quantitative subjects. Rarely, though, a reverse mapping has been successfully attempted. In a recent study, we mapped an established technique from epidemiology to solve a problem in material science. This technique, popularly referred to as 'reproduction number generator', that is used to calculate the speed and number of secondary infections, can estimate transport properties of a generic interactive double diffusion process. We showed that the analytical solution agrees closely with the exact numerical solution to a high order of accuracy with the key advantage of minimalist representation in interpreting the impact of parameters in nanocomposite double diffusion. The technique is generic enough to be implementable in all forms of nonlinear multi-diffusion modelling in material science and biology.