fracton


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fracton

[′frak‚tän]
(physics)
A quantum corresponding to a vibrational excitation of random fractal structure, which is localized in space.
A vibrational quantum of a fractal structure, either random or ordered, that may be localized or delocalized.
A quantum of a localized vibrational excitation of a disordered structure, whether or not it is fractal.
References in periodicals archive ?
A final thrust of activity will focus on newly-proposed fracton states of matter not captured by usual theories of topological order, And will employ both analytical parton techniques and numerical quantum monte carlo simulations.
This frequency is called crossover frequency [v.sub.co] and corresponds to the transition from phonon ([alpha] = 2) to fracton ([alpha] < 2) section of the dispersion curve.
Since these excitations are localized in the lattice of the percolation fractal clusters, they are called "fractons" [14].
In the case of percolation network, the spectral dimension of the fracton has a universal value [??] [approximately equal to] 4/3 (Alexander & Orbach, 1982; Alexander, Laermans, Orbach & Rosenberg, 1983).
At [T.sub.g], the number of molecules in the rigid state is in dynamic equilibrium with those in the liquid state and there exists a density of states [phi]([omega]) ~ [[omega].sup.[d.sub.f]-1] of phonon frequency [omega] ([d.sub.f] is the fracton dimension), which describes the transitions of the solid-to-liquid frequencies of the percolating rigidity cluster at [T.sub.g].