Fluctuations of electric variables in Debye-Huckel electrolyte at a neutral hard wall

We analyse the fluctuations of electric variables in a simple case of semi- infinite electrolyte solution bound by a neutral hard wall. We use the stat istical field theory with the effective Hamiltonian that yields the Debye-H uckel theory in the bulk. Although there is no profile for the average elec trical quantities the fluctuations are influenced by the presence of the ha rd wall. We have calculated the profile for the electrical potential fluctu ation at a given point across the interface. Analytic expression for the ch arge-charge and potential-potential correlation function is given. Some per spectives for a further study on the electric variables fluctuations in inh omogeneous electrolyte systems are presented. (C) 2001 Elsevier Science Ltd . All rights reserved.