2004/02/13 by J. Viana Lopes, Yu. G. Pogorelov, J. M. B. Lopes dos Santos +2 · 1 citation
Mathematics · Physics and Astronomy · #Chain (unit) #Character (mathematics) #Complex Network Analysis Techniques #Computer science #Exact solutions in general relativity #Geometry #Ising model #Materials science #Mathematics #Opinion Dynamics and Social Influence #Physics #Quantum mechanics #Range (aeronautics) #Scaling #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech #k-nearest neighbors algorithm
paper · pdf · doi:10.1103/physreve.70.026112
published as Phys. Rev. E 70, 026112 (2004) · 9 pages, 7 figures, submitted to pre
arxiv created 2004/02/13 · openalex publication_date 2004/08/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.