Integral equations theory for two-dimensional systems involving nanoparticles^*

ABSTRACT

We employ integral equation approach to describe the angular-dependent correlation functions of two-dimensional systems of selected model of nanoparticles. The numerical calculations are performed without expanding correlation functions into series of orthogonal functions of angles. We also propose reference-averaged Mayer potential to calculate the angular-independent radial distribution functions between nanoparticles. The results of theoretical calculations are compared with molecular dynamics simulation data.

KEYWORDS:

• Nanoparticles
• integral equations
• molecular dynamics

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by NCN Poland [grant number 2015/17/B/ST4/03615].