English

Pattern formation and phase transitions in systems with non-monotonic interaction

Soft Condensed Matter 2011-07-05 v1

Abstract

We analyzed pattern formation and identified different phases in a system of particles interacting through a non-monotonic short-range repulsive (r<r_c) and long-range attractive (r>r_c) potential, using molecular-dynamics simulations. Depending on parameters, the interaction potential models the interparticle interaction in various physical systems ranging from atoms, molecules and colloids to neutron stars and vortices in low-kappa type-II superconductors and in recently discovered "type-1.5" superconductors. We constructed the phase diagram "critical radius r_c - density n" and proposed a new approach to characterization of the phases. Namely, we elaborated a set of quantitative criteria in order to identify the different phases using the Radial Distribution Function (RDF), the local density function, and the occupation factor.

Keywords

Cite

@article{arxiv.1107.0699,
  title  = {Pattern formation and phase transitions in systems with non-monotonic interaction},
  author = {H. J. Zhao and V. R. Misko and F. M. Peeters},
  journal= {arXiv preprint arXiv:1107.0699},
  year   = {2011}
}

Comments

11 pages, 13 figures

R2 v1 2026-06-21T18:31:54.142Z