Speaker
Description
Reaction diffusion systems can spontaneously develop stable spatial
concentration patterns when two coupled chemical species diffuse at
sufficiently different rates, a symmetry-breaking phenomenon known
as the Turing instability. The onset of this instability depends
critically on the ratio of inhibitor to activator diffusivities,
$d = D_v/D_u$, and on the reaction kinetics, both of which are
sensitive to ambient thermodynamic conditions. We propose a
computational framework for modelling this instability in a confined
geometry, with thermodynamic boundary conditions parameterised across
a two-dimensional space of temperature $T$ and relative humidity
$\phi$. Linear stability analysis will identify the Turing threshold
as a function of $d$ and $T$, and numerical integration of the
coupled field equations will yield spatial concentration profiles
and field maps across the instability boundary.
| Apply for student award at which level: | None |
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