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Article . 2007
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Fluctuations in glassy systems

Authors: Chamon, Claudio; Cugliandolo, Leticia F.;

Fluctuations in glassy systems

Abstract

We summarize a theoretical framework based on global time-reparametrization invariance that explains the origin of dynamic fluctuations in glassy systems. We introduce the main ideas without getting into much technical details. We describe a number of consequences arising from this scenario that can be tested numerically and experimentally distinguishing those that can also be explained by other mechanisms from the ones that we believe, are special to our proposal. We support our claims by presenting some numerical checks performed on the 3d Edwards-Anderson spin-glass. Finally, we discuss up to which extent these ideas apply to super-cooled liquids that have been studied in much more detail up to present.

Comment: 33 pages, 7 figs, contribution to JSTAT special issue `Principles of Dynamical Systems' work-shop at Newton Institute, Univ. of Cambridge, UK

Country
France
Subjects by Vocabulary

Microsoft Academic Graph classification: Computer science Statistical physics

Keywords

Statistics and Probability, Statistical Mechanics (cond-mat.stat-mech), FOS: Physical sciences, Statistical and Nonlinear Physics, Disordered Systems and Neural Networks (cond-mat.dis-nn), Condensed Matter - Disordered Systems and Neural Networks, [PHYS.COND.CM-SM] Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech], Statistics, Probability and Uncertainty, Condensed Matter - Statistical Mechanics

53 references, page 1 of 6

t → ht ≡ h(t) , We thank our collaborators J. J. Arenzon, C. Aron, A. J. Bray, S. Bustingorry, H. E. Castillo, P. Charbonneau, D. Dom´ınguez, J. L. Iguain, L. D. C. Jaubert, M. P. Kennett, M. Picco, D. R. Reichman, M. Sellitto, A. Sicilia and H. Yoshino. We also wish to especially thank L. Berthier, G. Biroli, J-P Bouchaud, D. S. Dean, G. Fabricius, T. Grigera, E. Fradkin, S. Franz, J. Kurchan, H. Makse, D. Stariolo and L. Valluzzi for very helpful discussions. We acknowledge financial support from NSF-CNRS INT-0128922, NSF DMR-0305482, DMR 0403997 and PICS 3172. LFC is a member of Institut Universitaire de France. LFC thanks the Newton Institute at the University of Cambridge, ICTP at Trieste, and Universidad Nacional de Mar del Plata, Argentina, CC the LPTHE at Jussieu, Paris, France, and LFC and CC the Aspen Center for Physics

[1] M. D. Ediger, C. A. Angell, and S. R. Nagel; J. Phys. Chem. 100, 13 200 (1996). Glassy Materials and disordered solids, K. Binder and W. Kob (World Scientific, 2005).

[2] P. W. Anderson, Concepts in solids, (World Scientific, 1997).

[3] Several reviews and book summarize the aging properties of different types of glasses. Aging in polymer glasses is described in L. C. D. Struik, Physical aging in amorphous polymers and other materials (Elsevier, Houston, 1978). Aging in spin-glasses is reviewed in E. Vincent et al, Slow dynamics and aging in spin-glasses, cond-mat/9607224. Aging in soft glassy materials is summarized in L. Cipelletti and L. Ramos, J. Phys. C 17, R253 (2005). or Viasnoff and Lequeux. Aging in orientational glasses in F. Alberici-Kious, J-P Bouchaud, L. F. Cugliandolo, P. Doussineau and A. Levelut, Phys. Rev. B 62, 14766 (2000)

[4] C. Chamon, M. P. Kennett, H. E. Castillo, and L. F. Cugliandolo Phys. Rev. Lett. 89, 217201 (2002).

[5] H. E. Castillo, C. Chamon, L. F. Cugliandolo, and M. P. Kennett, Phys. Rev. Lett. 88, 237201 (2002).

[6] H. E. Castillo, C. Chamon, L. F. Cugliandolo, J. L. Iguain, and M. P. Kennett, Phys. Rev. B 68, 134442 (2003).

[7] C. Chamon, P. Charbonneau, L. F. Cugliandolo, D. R. Reichman, and M. Sellitto, J. of Chem. Phys. 121, 10120 (2004).

[8] C. Chamon, L. F. Cugliandolo, H. Yoshino, J. Stat. Mech (2006) P01006.

[9] L. D. C. Jaubert, C. Chamon, L. F. Cugliandolo, and M. Picco, cond-mat/0701116, to appear in JSTAT.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
36
Average
Average
Top 10%
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