2008/11/30 by A. S. dos Anjos, Aécia S. D. dos Anjos, I.S. Queiroz +5 · 2 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Ergodic theory #Ferromagnetism #High-pressure geophysics and materials #Invariant (physics) #Lattice (music) #Mathematics #Monte Carlo method #Physics #Pure mathematics #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/2009/08/p08002
published in Journal of Statistical Mechanics Theory and Experiment 2009(08), P08002 (Institute of Physics) · 6 pages, to be published in JSTAT (Journal of Statistical Mechanics: Theory and Experiment). The results of a computer simulation were included for N=3 as an example on how to use the analytical relations derived in the paper as a guide to obtain the critical temperature and critical exponents
arxiv created 2009/07/16 · openalex publication_date 2009/08/04 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Some exact results are derived relating quantities computable by the so-called damage spreading method and thermodynamic functions for the N -color Ashkin–Teller model. The results are valid for any ergodic dynamics. Since we restrict our analysis to the ferromagnetic case, the results are also valid for any translationally invariant lattice. The relations derived can be used in order to determine the N -color Ashkin–Teller critical exponents numerically, providing better accuracy and requiring less computational effort than standard Monte Carlo simulations.