2013/12/04 by Paolo Barucca, Giorgio Parisi, Tommaso Rizzo
Computer Science · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Applied mathematics #CHAOS (operating system) #Complex Systems and Time Series Analysis #Computer science #Coupling (piping) #Generalization #Line (geometry) #Materials science #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Multiplicative function #Nonlinear Dynamics and Pattern Formation #Phase (matter) #Phase diagram #Physics #Quantum mechanics #Stability (learning theory) #Statistical physics #Theoretical and Computational Physics #cond-mat.dis-nn
paper · pdf · doi:10.1103/physreve.89.032129
published as Phys. Rev. E 89, 032129 (2014)
arxiv created 2013/12/04 · openalex publication_date 2014/03/24 · arxiv updated 2014/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a treatable generalization of the Sherrington-Kirkpatrick (SK) model which introduces correlations in the elements of the coupling matrix through multiplicative disorder on the single variables and investigate the consequences on the phase diagram. We define a generalized qEA parameter and test the structural stability of the SK results in this correlated case evaluating the de Almeida-Thouless line of the model. As a main result we demonstrate the increase of temperature chaos effects due to heterogeneities.