= Poisson-Boltzmann equation
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{wiki=Poisson–Boltzmann_equation}
A mean-field coupling of the <Poisson equation> to an ideal <Boltzmann distribution> of mobile <ions>. In <Gaussian units> with uniform dielectric constant $\epsilon$, $\nabla^2\phi=-(4\pi/\epsilon)[\rho_f+\sum_i q_i n_{i,0}e^{-\beta q_i\phi}]$. The potential reference and chemical potentials determine the normalization factors. It neglects discrete-ion correlations and assumes local <thermal equilibrium>. A counterion-only model is not the same equation as a symmetric salt reservoir.
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