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Equilibrium fluctuations in mean-field disordered models.

Publication ,  Journal Article
Folena, G; Biroli, G; Charbonneau, P; Hu, Y; Zamponi, F
Published in: Physical review. E
August 2022

Mean-field models of glasses that present a random first order transition exhibit highly nontrivial fluctuations. Building on previous studies that focused on the critical scaling regime, we here obtain a fully quantitative framework for all equilibrium conditions. By means of the replica method we evaluate Gaussian fluctuations of the overlaps around the thermodynamic limit, decomposing them in thermal fluctuations inside each state and heterogeneous fluctuations between different states. We first test and compare our analytical results with numerical simulation results for the p-spin spherical model and the random orthogonal model, and then analyze the random Lorentz gas. In all cases, a strong quantitative agreement is obtained. Our analysis thus provides a robust scheme for identifying the key finite-size (or finite-dimensional) corrections to the mean-field treatment of these paradigmatic glass models.

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Published In

Physical review. E

DOI

EISSN

2470-0053

ISSN

2470-0045

Publication Date

August 2022

Volume

106

Issue

2-1

Start / End Page

024605

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
 

Citation

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Folena, G., Biroli, G., Charbonneau, P., Hu, Y., & Zamponi, F. (2022). Equilibrium fluctuations in mean-field disordered models. Physical Review. E, 106(2–1), 024605. https://doi.org/10.1103/physreve.106.024605
Folena, Giampaolo, Giulio Biroli, Patrick Charbonneau, Yi Hu, and Francesco Zamponi. “Equilibrium fluctuations in mean-field disordered models.Physical Review. E 106, no. 2–1 (August 2022): 024605. https://doi.org/10.1103/physreve.106.024605.
Folena G, Biroli G, Charbonneau P, Hu Y, Zamponi F. Equilibrium fluctuations in mean-field disordered models. Physical review E. 2022 Aug;106(2–1):024605.
Folena, Giampaolo, et al. “Equilibrium fluctuations in mean-field disordered models.Physical Review. E, vol. 106, no. 2–1, Aug. 2022, p. 024605. Epmc, doi:10.1103/physreve.106.024605.
Folena G, Biroli G, Charbonneau P, Hu Y, Zamponi F. Equilibrium fluctuations in mean-field disordered models. Physical review E. 2022 Aug;106(2–1):024605.

Published In

Physical review. E

DOI

EISSN

2470-0053

ISSN

2470-0045

Publication Date

August 2022

Volume

106

Issue

2-1

Start / End Page

024605

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering