English

Cluster pair correlation function of simple fluids: energetic connectivity criteria

Soft Condensed Matter 2009-11-11 v1

Abstract

We consider the clustering of Lennard-Jones particles by using an energetic connectivity criterion proposed long ago by T.L. Hill [J. Chem. Phys. 32, 617 (1955)] for the bond between pairs of particles. The criterion establishes that two particles are bonded (directly connected) if their relative kinetic energy is less than minus their relative potential energy. Thus, in general, it depends on the direction as well as on the magnitude of the velocities and positions of the particles. An integral equation for the pair connectedness function, proposed by two of the authors [Phys Rev. E 61, R6067 (2000)], is solved for this criterion and the results are compared with those obtained from molecular dynamics simulations and from a connectedness Percus-Yevick like integral equation for a velocity-averaged version of Hill's energetic criterion.

Keywords

Cite

@article{arxiv.cond-mat/0610312,
  title  = {Cluster pair correlation function of simple fluids: energetic connectivity criteria},
  author = {Luis A. Pugnaloni and Guillermo J. Zarragoicoechea and Fernando Vericat},
  journal= {arXiv preprint arXiv:cond-mat/0610312},
  year   = {2009}
}

Comments

17 pages, 6 figures

R2 v1 2026-07-22T11:38:18.527Z