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arxiv 2101.03883 v2 pith:4VII3HRQ submitted 2020-12-22 cond-mat.soft physics.bio-phphysics.flu-dyn

Diffusion Fails to Make a Stink

classification cond-mat.soft physics.bio-phphysics.flu-dyn
keywords conditionsdiffusiondiffusivemodelscenttrackingaboveapplying
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work we consider the question of whether a simple diffusive model can explain the scent tracking behaviours found in nature. For this behaviour to occur, both the concentration of a scent and its gradient must be above some threshold. Applying these conditions to the solutions of various diffusion equations, we find that a purely diffusive model cannot simultaneously satisfy the tracking conditions when parameters are in the experimentally observed range. This demonstrates the necessity of modelling odor dispersal with full fluid dynamics, where non-linear phenomena such as turbulence play a critical role.

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