Journal ArticleDOI
The Dynamics of a Disordered Linear Chain
TLDR
In this paper, the distribution function of the frequencies of normal modes of vibration of a disordered chain of one-dimensional harmonic oscillators is calculated analytically, in the limit when the chain becomes infinitely long.Abstract:
By a disordered chain we mean a chain of one-dimensional harmonic oscillators, each coupled to its nearest neighbors by harmonic forces, the inertia of each oscillator and the strength of each coupling being a random variable with a known statistical distribution law. A method is presented for calculating exactly the distribution-function of the frequencies of normal modes of vibration of such a chain, in the limit when the chain becomes infinitely long. For some special examples, in which the distribution law of the oscillator parameters is assumed to be of exponential form, the frequency spectra are calculated analytically. The theory applies equally well to a chain of masses connected by elastic springs and making mechanical vibrations, or to an electrical transmission line composed of alternating inductances and capacitances with random characteristics.read more
Citations
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Energy transfer in random systems
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Physical implications of multi-neighbor activations in the master equation☆
K.W. Wong,P.V. Zhu,A.K. Fung +2 more
TL;DR: In this article, the authors show how multi-neighbor activations can arise from applications of the master equation to physical models, and how such randomized activation can be solved by homotopy mapping.
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Disordered graphene ribbons as topological multicritical systems
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Nonequilibrium response of a disordered Ising chain
TL;DR: In this article, the authors studied the relaxation behavior of a model disordered system in which the bond strengths are distributed at random between the discrete values +J and -J with equal probability.
Journal ArticleDOI
Inhomogeneous Fixed Point Ensembles Revisited
TL;DR: In this article, the scaling law of the density of states in the Wigner-Dyson and Bogolubov-de Gennes classes of disordered systems was shown to have a finite non-zero value at the mobility edge.