On the scaling properties of quasicrystalline potentials of eightfold rotational symmetry

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Bibliographic Details
Main Author:	Maltsev, A. Ya.
Format:	Preprint
Published:	2025
Subjects:	Mathematical Physics Quantum Gases Optics
Online Access:	Acceder al recurso
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_version_	1866908291434545152
author	Maltsev, A. Ya.
author_facet	Maltsev, A. Ya.
contents	We consider a special class of quasi-periodic potentials arising in the physics of photonic systems and possessing rotational symmetry of the 8th order. We are interested in the ``scaling'' properties of such potentials, namely, the growth rate of their closed level lines near the percolation threshold. Estimates of the corresponding scaling indices allow, in particular, to carry out some comparison of such potentials with various models of random potentials on the plane.
format	Preprint
id	arxiv_https___arxiv_org_abs_2503_22213
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	On the scaling properties of quasicrystalline potentials of eightfold rotational symmetry Maltsev, A. Ya. Mathematical Physics Quantum Gases Optics We consider a special class of quasi-periodic potentials arising in the physics of photonic systems and possessing rotational symmetry of the 8th order. We are interested in the ``scaling'' properties of such potentials, namely, the growth rate of their closed level lines near the percolation threshold. Estimates of the corresponding scaling indices allow, in particular, to carry out some comparison of such potentials with various models of random potentials on the plane.
title	On the scaling properties of quasicrystalline potentials of eightfold rotational symmetry
topic	Mathematical Physics Quantum Gases Optics
url	https://arxiv.org/abs/2503.22213

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