Ewald sums for Yukawa potentials in quasi-two-dimensional systems

摘要

The Yukawa interaction energy between two particles is given by where epsilon is the dielectric constant,K the inverse of the screening length,and y_i the "Yukawa charges" defined by the properties and the state of the system;for instance,at the Debye-Huckel approximation for electrolytes or in the Derjaguin-Landau-Verwey-Overbeek (DLVO) theory of colloids,kappa and y_i are related to physical parameters of systems as where sigma_i is the diameter of the hard core of the ions,in the Debye-Huckel approximations,or the radius of macroions,in DLvO theory,and rho and q are,respectively,the density of ions or counterions and their change,k_B the Boltzmann constant,and T the temperature.