“School of Physics”
Back to Papers HomeBack to Papers of School of Physics
Paper IPM / P / 6865  


Abstract:  
Equilibrium distribution of interacting ionic particles in a charged disordered background is studied using the nonlinear PoissonBoltzmann equation. For an arbitrarily given realization of the disorder, an exact solution of the equation is obtained in one dimension using a mapping of the nonlinear PoissonBoltzmann equation to a selfconsistent Schrodinger equation. The resulting density profile shows that the ions are delocalized, despite what the equivalent Schrodinger formulation in one dimension would suggest. It is shown that the ions are not distributed so as to locally neutralize the background, presumably due to their mutual interactions.
Download TeX format 

back to top 