English

Critical phenomena in networks

Statistical Mechanics 2009-11-07 v2

Abstract

We develop a phenomenological theory of critical phenomena in networks with an arbitrary distribution of connections P(k)P(k). The theory shows that the critical behavior depends in a crucial way on the form of P(k)P(k) and differs strongly from the standard mean-field behavior. The critical behavior observed in various networks is analyzed and found to be in agreement with the theory.

Keywords

Cite

@article{arxiv.cond-mat/0204596,
  title  = {Critical phenomena in networks},
  author = {A. V. Goltsev and S. N. Dorogovtsev and J. F. F. Mendes},
  journal= {arXiv preprint arXiv:cond-mat/0204596},
  year   = {2009}
}

Comments

5 pages

R2 v1 2026-07-22T10:36:32.236Z