Using Monte Carlo simulations, we systematically investigate the effect of particle size distribution on the phase behavior of polydisperse hard disks. Compared with the commonly used Gaussian-like polydisperse hard disks [P. Sampedro Ruiz, Q.-l. Lei, and R. Ni, Commun. Phys. 2, 70 (2019)], we find that the phase behavior of polydisperse hard-disk systems with lognormal and triangle distributions is significantly different. In polydisperse hard-disk systems of lognormal distributions, although the phase diagram appears similar to that of Gaussian-like polydisperse hard disks, the re-entrant melting of the hexatic or solid phase cannot be observed in sedimentation experiments. For polydisperse hard-disk systems of triangle distributions, the phase behavior is qualitatively different from the Gaussian-like and lognormal distributions, and we cannot reach any system of true polydispersity larger than 0.06, which is due to the special shape of the triangle distribution. Our results suggest that the exact particle size distribution is of primary importance in determining the phase behavior of polydisperse hard disks, and we do not have a universal phase diagram for different polydisperse hard-disk systems.
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7 November 2020
Research Article|
November 02 2020
Effect of particle size distribution on polydisperse hard disks
Special Collection:
2020 JCP Emerging Investigators Special Collection
Pablo Sampedro Ruiz
;
Pablo Sampedro Ruiz
School of Chemical and Biomedical Engineering, Nanyang Technological University
, 62 Nanyang Drive, 637459, Singapore
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Ran Ni
Ran Ni
a)
School of Chemical and Biomedical Engineering, Nanyang Technological University
, 62 Nanyang Drive, 637459, Singapore
a)Author to whom correspondence should be addressed: r.ni@ntu.edu.sg
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a)Author to whom correspondence should be addressed: r.ni@ntu.edu.sg
Note: This paper is part of the JCP Emerging Investigators Special Collection.
J. Chem. Phys. 153, 174501 (2020)
Article history
Received:
August 26 2020
Accepted:
October 15 2020
Citation
Pablo Sampedro Ruiz, Ran Ni; Effect of particle size distribution on polydisperse hard disks. J. Chem. Phys. 7 November 2020; 153 (17): 174501. https://doi.org/10.1063/5.0026910
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