English

Dynamics of group formation

Dynamical Systems 2022-01-05 v2 Statistical Mechanics

Abstract

We consider a specific dynamical system of groups formation. It is based simultaneously on a gradient competition between groups and a strong accumulation inside groups. Such a dynamical system demonstrates interesting behavior of densities of emerging groups of 11, 22, 33, ... elements in a steady-state depending on the densities of one-elements groups in a randomly chosen initial state.

Keywords

Cite

@article{arxiv.2112.12733,
  title  = {Dynamics of group formation},
  author = {Anton A Kutsenko},
  journal= {arXiv preprint arXiv:2112.12733},
  year   = {2022}
}

Comments

updated version with 1d and 2d models, and one-step 1d primitive model

R2 v1 2026-06-24T08:30:06.198Z