Convergent Approximation for the 2-Body Correlation Function in an Interface

TL;DR

This paper introduces a convergent approximation method for the mean field density-density correlation function at a two-phase interface, utilizing a fourth-order Hamiltonian expansion, demonstrated through Ginzburg-Landau systems.

Contribution

It presents a novel convergent approximation based on a fourth-order Hamiltonian expansion for correlation functions at interfaces.

Findings

Effective in one and three dimensions

Applicable to Ginzburg-Landau functional systems

Provides a convergent approach for correlation calculations

Abstract

A convergent approximation is proposed for a mean field density-density correlation function in a system with a two-phase interface. It is based on a fourth-order expansion of the Hamiltonian in terms of fluctuations around the equilibrium profile. The approach is illustrated by one and three dimensional calculations for systems characterized by the Ginzburg-Landau functional.