2010/09/07 by Martial Mazars · 1 citation
Chemistry · Materials Science · Physics and Astronomy · #Electrostatics and Colloid Interactions #Equivalence (formal languages) #Ewald summation #Fourier transform #Inverse #Lattice (music) #Limit (mathematics) #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat.other #cond-mat.stat-mech
paper · pdf · doi:10.1088/1751-8113/43/42/425002
to be published in Journal of Physics A: Mathematical and Theoretical (19 pages, 2 figures and 3 tables)
arxiv created 2010/09/07 · openalex publication_date 2010/09/30 · arxiv updated 2015/05/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
In this paper, we derive the Ewald method for inverse power-law interactions in quasi-two-dimensional systems. The derivation is done by using two different analytical methods. The first uses Parry's limit that considers the Ewald methods for quasi-two-dimensional systems as a limit of the Ewald methods for tridimensional systems; the second uses Poisson–Jacobi identities for lattice sums. Taking into account the equivalence of both derivations, we obtain a new analytical Fourier transform integral involving an incomplete gamma function. Energies of the generalized restrictive primitive model of electrolytes (η-RPM) and of the generalized one-component plasma model (η-OCP) are given for the tridimensional, quasi-two-dimensional and monolayers systems. Few numerical results, using Monte Carlo simulations, for η-RPM and η-OCP monolayer systems are reported.