Open AccessModeling of interaction of different-sized objects immersed in weal electrolyte
Author(s) -
A. O. Syromyasov
Publication year - 2018
Publication title -
žurnal srednevolžskogo matematičeskogo obŝestva
Language(s) - English
Resource type - Journals
eISSN - 2587-7496
pISSN - 2079-6900
DOI - 10.15507/2079-6900.20.201804.460-472
Subject(s) - multipole expansion , plane (geometry) , spheres , sign (mathematics) , electrolyte , particle (ecology) , physics , surface (topology) , classical mechanics , radius , hard spheres , mathematical analysis , mechanics , geometry , mathematics , thermodynamics , quantum mechanics , computer science , oceanography , computer security , electrode , astronomy , geology
Author solves problems about interaction of two spherical particles with different radii and also about interaction of a sphere and a plane that are immersed in electrolyte. Double electric layer near the objects' surfaces is supposed to be wide, so Poisson -- Boltzmann equation describing the distribution of electric potential in the medium may be linearized. The problems stated are solved by multipole expansion method; the plane is modelled by a dummy particle. Asymptotic expressions are obtained for the coefficients of the expansion. Basing on this solution, forces acting between bodies in electrolyte are found. The particular case when the size of one sphere is much larger than the size of another particle is examined. Author shows that this case can't transform to interaction of a sphere and a plane. The unexpected result of calculation is that under certain conditions the plane may attract spherical particle which has potential of the same sign on its surface, while the interaction between two spheres having potentials of the same sign is always repulsion.