Title: Comments on the linear modified Poisson-Boltzmann equation in electrolyte solution theory
Author(s):

	C.W. Outhwaite (Department of Applied Mathematics, University of Sheffield, Sheffield S3 7RH, UK) ,
	L.B. Bhuiyan (Laboratory of Theoretical Physics, Department of Physics, University of Puerto Rico, 17 Avenida Universidad, STE 1701, San Juan, Puerto Rico 00925-2537, USA)

Three analytic results are proposed for a linear form of the modified Poisson-Boltzmann equation in the theory of bulk electrolytes. Comparison is also made with the mean spherical approximation results. The linear theories predict a transition of the mean electrostatic potential from a Debye-Hückel type damped exponential to a damped oscillatory behaviour as the electrolyte concentration increases beyond a critical value. The screening length decreases with increasing concentration when the mean electrostatic potential is damped oscillatory. A comparison is made with one set of recent experimental screening results for aqueous NaCl electrolytes.

Key words: concentrated electrolytes, restricted primitive model, screening length, linear modified Poisson-Boltzmann theory
PACS: 82.45.Fk, 61.20.Qg, 82.45.Gj

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