2004/03/11 by Raúl Toral, Raul Toral, Toral, Raul · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0403292
openalex publication_date 2004/03/11 · arxiv created 2005/09/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the possibility of using generalized canonical distributions, i.e. using other factors than exp(-βE), in order to compute the equilibrium properties of physical systems. It will be show that some other choices can, in certain cases, lead to a simpler calculation of those properties. The corresponding equivalence between the canonical and the generalized canonical distributions is derived using well-known principles of Statistical Mechanics and we exemplify the method by deriving in a simple way the equilibrium properties of the long--range Ising model.