DOI: 10.1073/pnas.1111582109. Ideal glass transitions by random pinning

Ideal glass transitions by random pinning

10.1073/pnas.1111582109

Crossref journal-article

Proceedings of the National Academy of Sciences

Proceedings of the National Academy of Sciences (341)

Abstract

We study the effect of freezing the positions of a fraction c of particles from an equilibrium configuration of a supercooled liquid at a temperature T . We show that within the random first-order transition theory pinning particles leads to an ideal glass transition for a critical fraction c = c K ( T ) even for moderate supercooling; e.g., close to the Mode-Coupling transition temperature. First we derive the phase diagram in the T - c plane by mean field approximations. Then, by applying a real-space renormalization group method, we obtain the critical properties for | c - c K ( T )| → 0, in particular the divergence of length and time scales, which are dominated by two zero-temperature fixed points. We also show that for c = c K ( T ) the typical distance between frozen particles is related to the static point-to-set length scale of the unconstrained liquid. We discuss what are the main differences when particles are frozen in other geometries and not from an equilibrium configuration. Finally, we explain why the glass transition induced by freezing particles provides a new and very promising avenue of research to probe the glassy state and ascertain, or disprove, the validity of the theories of the glass transition.

Bibliography

Cammarota, C., & Biroli, G. (2012). Ideal glass transitions by random pinning. Proceedings of the National Academy of Sciences, 109(23), 8850â8855.

Authors 2

Chiara Cammarota (first)
Giulio Biroli (additional)

References 48 Referenced 173

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L Berthier G Biroli J-P Bouchaud L Cipelletti W Van Saarloos Dynamical heterogeneities in glasses colloids and granular materials. (Oxford University Press Oxford 2011). (10.1093/acprof:oso/9780199691470.001.0001)
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10.1103/PhysRevE.81.011111

Dates

Type	When
Created	13 years, 3 months ago (May 24, 2012, 12:21 a.m.)
Deposited	3 years, 4 months ago (April 15, 2022, 12:58 a.m.)
Indexed	1 day, 9 hours ago (Aug. 30, 2025, 12:43 p.m.)
Issued	13 years, 3 months ago (May 23, 2012)
Published	13 years, 3 months ago (May 23, 2012)
Published Online	13 years, 3 months ago (May 23, 2012)
Published Print	13 years, 2 months ago (June 5, 2012)

Funders 0

None

BibTeX

@article{Cammarota_2012, title={Ideal glass transitions by random pinning}, volume={109}, ISSN={1091-6490}, url={http://dx.doi.org/10.1073/pnas.1111582109}, DOI={10.1073/pnas.1111582109}, number={23}, journal={Proceedings of the National Academy of Sciences}, publisher={Proceedings of the National Academy of Sciences}, author={Cammarota, Chiara and Biroli, Giulio}, year={2012}, month=may, pages={8850–8855} }

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