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

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

1998-12-22

arxiv.org/abs/cond-mat/9812373v1

Phys. Rev. E, 59, 2808 (1999).

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages RevTeX, 1 eps figure. To appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.59.2808

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 points 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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