Work

Growing Cayley trees described by a Fermi distribution

Year: 2002

Type: article

Abstract: In growing Cayley trees with thermal noise we show that the distribution of the bond strengths (energies) is described by the Fermi statistics. The evolution of these hierarchical networks reduces to the Eden model and the invasion percolation model in the limits $\stackrel{\ensuremath{\rightarrow}}{T}0$ and $\stackrel{\ensuremath{\rightarrow}}{T}\ensuremath{\infty},$ respectively. We discuss the relation of the present results with the scale-free networks described by Bose statistics.

Source: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

DOI: 10.1103/physreve.66.036116

Author: Ginestra Bianconi

Institution: University of Notre Dame

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2025992569

FWCI: 0.495

Cites: 18

Cited by: 30

Related to: 10