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A Modification of Debye-Hückel Theory Based on Local Thermodynamics

The basic assumption of Debye-Hückel theory is that the linearised form of the PoissonBoltzmann equation applies. This assumption is replaced here by the more general postulate that the charge density is proportional to the electrical potential . It is shown that to obtain thermodynamic consistency the corresponding dependence of number densities on must include terms up to 2. A new expression for the decay length of electrostatic effects, K~l, is obtained which is related to the classical Debye length, -1, by the expression.