The Poisson-Boltzmann Equation

The book systematically introduces the Poisson-Boltzmann equation across three interrelated chapters, catering to advanced students and researchers. The first chapter formulates the equation, covering linearized Debye-Hückel theory and exact solutions in simple geometries. The second chapter shifts to a statistical physics perspective, addressing fluctuation effects through loop expansion and variational methods. It explores practical applications, such as surface tension with added salt and the adsorption of charged polymers on like-charged surfaces, linking historical context to modern developments.