TL;DR
This paper introduces the mathematical modeling of fluid/solid phase transitions, focusing on quasicrystals, aiming to highlight complex features that invite further mathematical research.
Contribution
It provides an expository overview tailored for a general mathematics audience on the modeling challenges posed by quasicrystals in phase transitions.
Findings
Identifies key modeling features of quasicrystals
Highlights mathematical challenges in phase transition modeling
Encourages further mathematical investigation
Abstract
This is an expository introduction, for a general mathematics audience, to the modeling of the fluid/solid phase transition and in particular to complications created by the discovery of quasicrystals. One goal is to elucidate certain features of the modeling which are ripe for mathematical investigation.
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