1999Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsOpen access

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

Andrea Cavagna, Juan P. Garrahan, Irene Giardina

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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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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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Available 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.

Key concepts: Maxima and minima, Maxima, Energy (signal processing), Range (aeronautics), Hamiltonian (control theory), Distribution (mathematics), Hamiltonian system, Physics

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