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.

• Received 6 August 1998

DOI:https://doi.org/10.1103/PhysRevE.59.2808