A new open source software for the calculation of the liquid junction   potential between two solutions according to the stationary Nernst-Planck   equation
  We describe an open source software which we have realized and made publicly available at the website http://jljp.sourceforge.net. It provides the potential difference and the ion fluxes across a liquid junction between the solutions of two arbitrary electrolytes. The calculation is made by solving the Nernst-Planck equations for the stationary state in conditions of local electrical quasi-neutrality at all points of the junction. The user can arbitrarily assign the concentrations of the ions in the two solutions, and also specify the analytical dependence of the diffusion coefficient of each ion on its concentration. 
Massimo Marino, Lorenza Misuri and Doriano Brogioli
physics.chem-ph