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What is The Order Parameter

Chapter 1
The Geometry of Higher-Dimensional Polytopes
A vector characterizing the phase transition of the second kind. Its dimension coincides with the dimension of irreducible representations of the symmetry group of high-symmetry phase.
Published in Chapter:
Polytopes of Higher Dimension in the Nature
Copyright: © 2019 |Pages: 45
DOI: 10.4018/978-1-5225-6968-8.ch001
Abstract
Areas of research into the phenomena of nature in which the influence of polytopes of higher dimension is described in this chapter. These include studies of the structures of many chemical compounds whose molecules exhibit the properties of polytopes of higher dimension. This leads to the creation of higher-dimensional stereochemistry. Phase transitions of the second kind are accompanied by a change in the symmetry of the structure of matter, the description of which, in agreement with the experimental data, requires the attraction of spaces of higher dimension. Elementary cells of quasicrystals, having the form of polytopic prismahedrons, are given (polytopes of higher dimension). The structure of DNA as sequence of the higher dimensional polytopes are given.
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