# The spherical coordinate form of three-dimensional generalized dynamics   of soft-matter quasicrystals with 12-fold symmetry

**Authors:** Zhi-Yi Tang, Tian-You Fan

arXiv: 1908.06549 · 2019-10-25

## TL;DR

This paper develops a spherical coordinate formulation for the 3D generalized dynamics of soft-matter quasicrystals with 12-fold symmetry, facilitating the solution of initial-boundary value problems and discussing relevant solving methods.

## Contribution

It introduces a novel spherical coordinate form for modeling the dynamics of 12-fold symmetric soft-matter quasicrystals, advancing analytical approaches.

## Key findings

- Provides a basis for solving initial-boundary value problems
- Discusses relevant solving methods
- Enhances understanding of quasicrystal dynamics

## Abstract

This article reports the spherical coordinate form of three-dimensional generalized dynamics of soft-matter quasicrystals with 12-fold symmetry which provides a basis for solving initial-boundary value problems of the equations under some important cases. Some relevant solving methods are discussed as well.

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Source: https://tomesphere.com/paper/1908.06549