Abstract
A layer of insulating liquid of dielectric constant ɛOil and average thickness coats a flat surface at y = 0 at which a one-dimensional sinusoidal potential V(x,0) = VOcos(πx/p) is applied. Dielectrophoresis forces create a static undulation (or “wrinkle”) distortion h(x) of period p at the liquid/air interface. Analytical expressions have been derived for the electrostatic energy and the interfacial energy associated with the surface undulation when h(x) = -(1/2)Acos(2πx/p) yielding a scaling relationship for A as a function of , p, VO, ɛOil and the surface tension. The analysis is valid as A/p → 0, and in this limit convergence with numerical simulation of the system is shown.
Original language | English |
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Pages (from-to) | 024107 |
Number of pages | 1 |
Journal | Journal of applied physics |
Volume | 110 |
Issue number | 2 |
DOIs | |
Publication status | Published - 22 Jul 2011 |
Keywords / Materials (for Non-textual outputs)
- dielectric thin films
- electrophoresis
- permittivity
- surface tension