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Bypassing sluggishness: SWAP algorithm and glassiness in high dimensions.

Publication ,  Journal Article
Berthier, L; Charbonneau, P; Kundu, J
Published in: Physical review. E
March 2019

The recent implementation of a swap Monte Carlo algorithm (SWAP) for polydisperse glass forming mixtures bypasses computational sluggishness and closes the gap between experimental and simulation timescales in physical dimensions d=2 and 3. Here, we consider suitably optimized systems in d=2,3,⋯,8 to obtain insights into the performance and underlying physics of SWAP. We show that the speedup obtained decays rapidly with increasing the dimension. SWAP nonetheless delays systematically the onset of the activated dynamics by an amount that remains seemingly finite in the limit d→∞. This shows that the glassy dynamics in high dimensions d>3 is now computationally accessible using SWAP, thus opening the door for the systematic consideration of finite-dimensional deviations from the mean-field description.

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Published In

Physical review. E

DOI

EISSN

2470-0053

ISSN

2470-0045

Publication Date

March 2019

Volume

99

Issue

3-1

Start / End Page

031301

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
 

Citation

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Berthier, L., Charbonneau, P., & Kundu, J. (2019). Bypassing sluggishness: SWAP algorithm and glassiness in high dimensions. Physical Review. E, 99(3–1), 031301. https://doi.org/10.1103/physreve.99.031301
Berthier, Ludovic, Patrick Charbonneau, and Joyjit Kundu. “Bypassing sluggishness: SWAP algorithm and glassiness in high dimensions.Physical Review. E 99, no. 3–1 (March 2019): 031301. https://doi.org/10.1103/physreve.99.031301.
Berthier L, Charbonneau P, Kundu J. Bypassing sluggishness: SWAP algorithm and glassiness in high dimensions. Physical review E. 2019 Mar;99(3–1):031301.
Berthier, Ludovic, et al. “Bypassing sluggishness: SWAP algorithm and glassiness in high dimensions.Physical Review. E, vol. 99, no. 3–1, Mar. 2019, p. 031301. Epmc, doi:10.1103/physreve.99.031301.
Berthier L, Charbonneau P, Kundu J. Bypassing sluggishness: SWAP algorithm and glassiness in high dimensions. Physical review E. 2019 Mar;99(3–1):031301.

Published In

Physical review. E

DOI

EISSN

2470-0053

ISSN

2470-0045

Publication Date

March 2019

Volume

99

Issue

3-1

Start / End Page

031301

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering