1995/02/11 by Vicente Azcoiti, V. Azcoiti, E. Follana +3 · 13 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #CHAOS (operating system) #Chaotic #Complex Systems and Time Series Analysis #Computer science #Condensed matter physics #Dimension (graph theory) #Field (mathematics) #Magnetic field #Mathematics #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Pure mathematics #Quantum mechanics #Realization (probability) #Spin (aerodynamics) #Spin glass #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #cond-mat
paper · pdf · doi:10.1088/0305-4470/28/14/008
published in Journal of Physics A Mathematical and General 28(14), 3863-3875 (Institute of Physics) · 13 Pages + 7 Figures, Latex File, figures uuencoded at end of file
arxiv created 1995/02/11 · openalex publication_date 1995/07/21 · openalex created_date 2016/06/24 · arxiv updated 2016/08/31 · openalex updated_date 2026/08/05
We study the chaotic nature of spin glasses against perturbations of the realization of the quenched disorder. This type of perturbation modifies the energy landscape of the system without adding extensive energy. We exactly solve the mean-field case, which displays a very similar chaos to that observed under magnetic field perturbations, and discuss the possible extension of these results to the case of short-ranged models. It appears that dimension four plays the role of a specific critical dimension where mean-field theory is valid. We present numerical simulation results which support our main conclusions.