Global space correlations of polarization, charge density, and electric field in electrolytes under the fixed-potential condition (opens in new tab)

We examine the thermal fluctuations of the polarization $p$, the charge density $\rho$, and the electric field $E$ in dilute electrolytes inserted between pararell metallic electrodes, where we fix the applied potential difference $\Phi_a$ between the two electrodes. If the film thickness $H$ is shorter than the Debye screening length $\kappa^{-1}$, the space correlation of the polarization $p_z$ and the electric field $E_z$ along the surface ...