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- Bypassing sluggishness: SWAP algorithm and glassiness in high dimensions doi link

Auteur(s): Berthier L., Charbonneau Patrick, Kundu Joyjit

(Article) Publié: Physical Review E: Statistical, Nonlinear, And Soft Matter Physics, vol. p.031301 (2019)
Texte intégral en Openaccess : arxiv


Ref HAL: hal-02074910_v1
Ref Arxiv: 1810.06950
DOI: 10.1103/PhysRevE.99.031301
WoS: 000460663400001
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Résumé:

The recent implementation of a swap Monte Carlo algorithm (SWAP) for polydisperse mixtures fully 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 $d=2, 3,\dots, 8$, 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 finite in the limit $d \to \infty$. 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.



Commentaires: Réf Journal: Phys. Rev. E 99, 031301 (2019)