posted on 2018-07-24, 13:25authored byMorgan C. Walters, Priya Subramanian, Andrew ArcherAndrew Archer, Robert Evans
We investigate the liquid state structure of the two-dimensional (2D) model introduced by Barkan et al. [Phys. Rev. Lett. 113, 098304 (2014)], which exhibits quasicrystalline and other unusual solid phases, focussing on the radial distribution function $g(r)$ and its asymptotic decay $r\to\infty$. For this particular model system, we find that as the density is increased there is a structural crossover from damped oscillatory asymptotic decay with one wavelength to damped oscillatory asymptotic decay with another distinct wavelength. The ratio of these wavelengths is $\approx1.932$. Following the locus in the phase diagram of this structural crossover leads directly to the region where quasicrystals are found. We argue that identifying and following such a crossover line in the phase diagram towards higher densities where the solid phase(s) occur is a good strategy for finding quasicrystals in a wide variety of systems. We also show how the pole analysis of the asymptotic decay of equilibrium fluid correlations is intimately connected with the non-equilibrium growth or decay of small amplitude density fluctuations in a bulk fluid.
Funding
M.C.W. was supported by an EPSRC studentship, P.S. was supported in part by a L’Or´eal UK and Ireland Fellowship for Women in Science, A.J.A. was supported by EPSRC Grant No. EP/P015689/1 and R.E. was supported by Leverhulme Trust Grant No. EM-2016-031.
History
School
Science
Department
Mathematical Sciences
Published in
Physical Review E
Volume
98
Pages
1 - 12 (12)
Citation
WALTERS, M.C. ...et al., 2018. Structural crossover in a model fluid exhibiting two length scales: repercussions for quasicrystal formation. Physical Review E, 98, pp. 1-12.
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
Acceptance date
2018-07-03
Publication date
2018-07-19
Notes
This paper was accepted for publication in the journal Physical Review E and the definitive published version is available at https://doi.org/10.1103/PhysRevE.98.012606