Statistical mechanics of pentagonal and icosahedral order in dense liquids

Subir Sachdev and David R. Nelson
Phys. Rev. B 32, 1480 – Published 1 August 1985
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Abstract

A Ginzburg-Landau model of short-range icosahedral order in bulk liquids, and of pentagonal order in two-dimensional fluids, is used to calculate density correlation functions in these systems. The theory predicts peaks in the structure factor, at positions determined by symmetries of ideal curved-space ‘‘crystals.’’ The peaks are broadened in a way which reflects the inability of icosahedra and pentagons to form a close-packed lattice in flat space. The results in three dimensions provide a good fit to experiments on vapor-deposited metal films and to computer simulations.

  • Received 26 December 1984

DOI:https://doi.org/10.1103/PhysRevB.32.1480

©1985 American Physical Society

Authors & Affiliations

Subir Sachdev and David R. Nelson

  • Department of Physics, Harvard University, Cambridge, Massachusetts 02138

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Issue

Vol. 32, Iss. 3 — 1 August 1985

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