Two overall neutral surfaces with positively and negatively charged domains ("patches") have been shown in recent experiments to exhibit long-range attraction when immersed in an ionic solution. Motivated by the experiments, we calculate analytically the osmotic pressure between such surfaces within the Poisson-Boltzmann framework, using a variational principle for the surface-averaged free ene...

Simulations of the Lebowitz length, xiL (T, rho), are reported for the restricted primitive model hard-core (diameter a) 1:1 electrolyte for densities rho approximately < 4rho(c) and T(c) approximately < T approximately < 40T(c). Finite-size effects are elucidated for the charge fluctuations in various subdomains that serve to evaluate xiL. On extrapolation to the bulk limit for T approximately...

The interest in ionic liquids (ILs) as replacements for more hazardous solvents has been growing over the last years, especially industrial synthesis and liquid-liquid separations. Consequently, it is important to study their degree of dissociation (α), which quantifies ratio IL molecules dissociated into ions significantly influences viscosity, density, surface tension. In this work, ILs binar...

We study local and global well-posedness of the initial value problem for the Schrödinger-Debye equation in the periodic case. More precisely, we prove local well-posedness for the periodic Schrödinger-Debye equation with subcritical nonlinearity in arbitrary dimensions. Moreover, we derive a new a priori estimate for the H norm of solutions of the periodic Schrödinger-Debye equation. A novel p...

Abstract The electroosmotic flow of non-Newtonian fluid–Eyring fluid in microparallel pipes under high zeta potential driven by the combination pressure and electric force is studied. Without using Debye–Hückel (DH) linear approximation, numerical solutions distribution velocity obtained finite difference method are compared with analytical approximate DH approximation. results show that this a...

The adsorption of a flexible polyelectrolyte in a salt solution onto an oppositely charged spherical surface is investigated. An analytical solution is derived, which is valid for any sphere radius and consistently recovers the result of a planar surface in the limit of large sphere radii, by substituting the Debye-Hückel potential via the Hulthén potential. Expressions for critical quantities ...