Finite-time scaling at the Anderson transition for vibrations in solids

Article

关键词: INELASTIC-SCATTERING;    DISORDERED-SYSTEMS;    ACOUSTIC-WAVES;    2 DIMENSIONS;    LOCALIZATION;    LIGHT;    ULTRASOUND;    DIFFUSION;    CONDUCTIVITY;    CONDUCTANCE;   

DOI  :  10.1103/PhysRevB.96.174209

来源: SCIE

【 摘 要 】

A model in which a three-dimensional elastic medium is represented by a network of identical masses connected by springs of random strengths and allowed to vibrate only along a selected axis of the reference frame exhibits an Anderson localization transition. To study this transition, we assume that the dynamical matrix of the network is given by a product of a sparse random matrix with real, independent, Gaussian-distributed nonzero entries and its transpose. A finite-time scaling analysis of the system's response to an initial excitation allows us to estimate the critical parameters of the localization transition. The critical exponent is found to be nu = 1.57 +/- 0.02, in agreement with previous studies of the Anderson transition belonging to the three-dimensional orthogonal universality class.

【 授权许可】

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