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

Citation
A. Cavagna et al., Energy distribution of maxima and minima in a one-dimensional random system, PHYS REV E, 59(3), 1999, pp. 2808-2811
Citations number
22
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
59
Issue
3
Year of publication
1999
Part
A
Pages
2808 - 2811
Database
ISI
SICI code
1063-651X(199903)59:3<2808:EDOMAM>2.0.ZU;2-T
Abstract
We study the energy distribution of maxima and minima of a simple one-dimen sional disordered Hamiltonian. We find that in systems with short-range cor related disorder there is energy separation between maxima and minima, such that at fixed energy only one kind of stationary point is dominant in numb er over the other. On the other hand, in the case of systems with long-rang e correlated disorder maxima and minima an completely mixed. [S1063-651X(99 )14703-2].