Exact solution of Ising model on a small-world network

• Type: Article in International Scientific Journal
• Date: 2004

Authors

Lopes, JV (Author) Other; Pogorelov, YG (Author) FCUP; dos Santos, JMBL (Author) FCUP; Toral, R (Author) Other

Journal

Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Vol. 70

Pages: 026112-1-026112-8

ISSN: 1539-3755

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 36 Citations

Scopus - 39 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-000-9AA

DOI: 10.1103/physreve.70.026112

Abstract (EN): We present an exact solution of a one-dimensional Ising chain with both nearest-neighbor and random long-range interactions. Not surprisingly, the solution confirms the mean-field character of the transition. This solution also predicts the finite-size scaling that we observe in numerical simulations.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8