Correlation decoupling of Casimir interaction in an electrolyte driven by external electric fields

Kavli Affiliate: Rudolf Podgornik

| First 5 Authors: Guangle Du, David S. Dean, Bing Miao, Rudolf Podgornik,

| Summary:

It has been established for a long time that the long range van der Waals or
thermal Casimir interaction between two semi-infinite dielectrics separated by
a distance $H$ is screened by an intervening electrolyte. Here we show how this
interaction is modified when an electric field of strength $E$ is applied
parallel to the dielectric boundaries, leading to a non-equilibrium steady
state with a current. The presence of the field induces a long range thermal
repulsive interaction, scaling just like the thermal Casimir interaction
between dielectrics without the intervening electrolyte, {em i.e.} as $1/H^3$.
At small $E$ the effect is of order $E^2$ while at large fields it saturates to
an $E$ independent value. We explain the results in terms of a decoupling
mechanism between the charge density fluctuations of cations and anions at
large applied fields.

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