Accurate Solutions to Non-Linear PDEs Underlying a Propulsion of Catalytic Microswimmersстатья
Статья опубликована в высокорейтинговом журнале
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Дата последнего поиска статьи во внешних источниках: 25 мая 2022 г.
Аннотация:Catalytic swimmers self-propel in electrolyte solutions, thanks to an inhomogeneous ion release from their surface.
Here, we consider the experimentally relevant limit of thin electrostatic diffuse layers, where the method of matched asymptotic expansions can be employed. While the analytical solution for ion concentration and electric potential in the inner region is known, the electrostatic problem in the outer region has been solved before only for a linear case. Besides, only main geometries, such as sphere or cylinder have been favoured. Here we derive a non-linear outer solution for the electric field and concentrations for swimmers of any shape with given ion surface fluxes that allow us to find then the velocity of particle self-propulsion. The power of our formalism is to include complicated effects of anisotropy and inhomogeneity of surface ion fluxes in relevant boundary conditions. This is demonstrated
by exact solutions for electric potential profiles in some particular cases with the consequent calculations of self-propulsion velocities.