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Regularity criteria for linear chains

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Abstract

The structural analysis of linear chains of arbitrary fixed shape is discussed in the context of a spectral approach. The shape of the chain is characterized by a set of scalar and pseudoscalar invariants, which remain constant under translations and rotations. The statistical properties of the set of invariants are compared with the analogous characteristics for a freely linked chain. The proposed criteria have the self-averaging property for relatively short (∼100–300 links) chains and can be used to discern possible latent periodicities and symmetries in a system. As examples, two applications of the theory are considered: the structural analysis of chains generated by random walks on a cubic lattice and protein Cα backbones.

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Authors and Affiliations

  1. Institute of Terrestrial Magnetism, the Ionosphere, and Radio-Wave Propagation, Russian Academy of Sciences, 142092, Troitsk, Moscow Region, Russia

    V. V. Lobzin

  2. Institute of Innovative and Thermonuclear Research, 142092, Troitsk, Moscow Region, Russia

    V. R. Chechetkin

Authors
  1. V. V. Lobzin
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  2. V. R. Chechetkin
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Zh. Éksp. Teor. Fiz. 116, 620–635 (August 1999)

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Lobzin, V.V., Chechetkin, V.R. Regularity criteria for linear chains. J. Exp. Theor. Phys. 89, 331–338 (1999). https://doi.org/10.1134/1.558988

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  • DOI: https://doi.org/10.1134/1.558988

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