Energy distribution of maxima and minima in a one-dimensional random system

1998/12/22 by Andrea Cavagna, Juan P. Garrahan, Irene Giardina · 3 citations
Mathematics · Physics and Astronomy · #Quantum chaos and dynamical systems #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.59.2808

published as Phys. Rev. E, 59, 2808 (1999). · 4 pages RevTeX, 1 eps figure. To appear in Phys. Rev. E

arxiv created 1998/12/22 · openalex publication_date 1999/03/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the energy distribution of maxima and minima of a simple one-dimensional disordered Hamiltonian. We find that in systems with short-range correlated disorder there is energy separation between maxima and minima, such that at fixed energy only one kind of stationary point is dominant in number over the other. On the other hand, in the case of systems with long-range correlated disorder maxima and minima are completely mixed.

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