Categories
  Encyclosphere.org ENCYCLOREADER
  supported by EncyclosphereKSF

Fracton

From Wikipedia - Reading time: 4 min

A fracton is a collective quantized vibration on a substrate with a fractal structure.[1][2]

Fractons are the fractal analog of phonons. Phonons are the result of applying translational symmetry to the potential in a Schrödinger equation. Fractal self-similarity can be thought of as a symmetry somewhat comparable to translational symmetry. Translational symmetry is symmetry under displacement or change of position, and fractal self-similarity is symmetry under change of scale. The quantum mechanical solutions to such a problem in general lead to a continuum of states with different frequencies. In other words, a fracton band is comparable to a phonon band. The vibrational modes are restricted to part of the substrate and are thus not fully delocalized, unlike phonon vibrational modes. Instead, there is a hierarchy of vibrational modes that encompass smaller and smaller parts of the substrate.[citation needed]

References

[edit]
  1. ^ Alexander, S; C. Laermans; R. Orbach; H.M. Rosenberg (15 October 1983). "Fracton interpretation of vibrational properties of cross-linked polymers, glasses, and irradiated quartz". Physical Review B. 28 (8): 4615–4619. Bibcode:1983PhRvB..28.4615A. doi:10.1103/physrevb.28.4615.
  2. ^ Srivastava, G. P. (1990), The Physics of Phonons, CRC Press, pp. 328–329, ISBN 9780852741535.

Literature

[edit]
[edit]



Licensed under CC BY-SA 3.0 | Source: https://en.wikipedia.org/wiki/Fracton
5 views | Status: cached on October 29 2024 20:07:12
Download as ZWI file
Encyclosphere.org EncycloReader is supported by the EncyclosphereKSF