Abstract
This is an introductory chapter to glass and jamming transitions. We present basic facts as well as recent discoveries, such as dynamical heterogeneities. In the final part we discuss a prominent theoretical approach: the Random First-Order Transition Theory. In order to convey the state of the art and the running debates, we make use both of the usual presentation style of physics papers but also of a dialogue format.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G. Galilei, Dialogue Concerning the Two Chief World Systems.
S. Coleman, Aspects of Symmetry, Cambridge University Press, 1985.
P.G. Debenedetti and F.H. Stillinger, Nature 410 (2001), 259.
R. Richert and C.A. Angell, J. Chem. Phys. 108 (1998), 9016.
H. Tanaka, Phys. Rev. Lett. 90, 055701 (2003).
C.A. Angell and S. Borick, J. Non-Cryst. Solids 307, 393 (2002).
J. Dyre, Rev. Mod. Phys. 78, 953 (2006).
M. Wyart, Phys. Rev. Lett. 104, 095901 (2010).
J. Wuttke, W. Petry, and S. Pouget, J. Chem. Phys. 105 (1996), 5177.
R. Candelier, PhD Thesis, Univ. Paris VI (2009).
E.R. Weeks, J.C. Crocker, A.C. Levitt, A. Schofield, and D.A. Weitz, Science 287 (2000), 627.
R. Candelier, O. Dauchot, and G. Biroli, Phys. Rev. Lett, 102 (2009), 088001.
L. Berthier, G. Biroli, J.-P. Bouchaud, R.L. Jack, arXiv:1009.4765
L. Berthier and G. Biroli, A Statistical Mechanics Perspective on Glasses and Aging Encyclopedia of Complexity and Systems Science, Springer (2009).
A.S.Keys, A.R. Abate, S.C. Glotzer, and D.J. Durian, Nature Physics 3 (2007), 260.
L. Berthier, G. Biroli, J.-P. Bouchaud, L. Cipelletti, D. El Masri, D. L’Hˆote, F. Ladieu, and M. Pierno, Science 310 (2005), 1797.
C. Dalle-Ferrier, C. Thibierge, C. Alba-Simionesco, L. Berthier, G. Biroli, J.-P. Bouchaud, F. Ladieu, D. L’Hˆote, and G. Tarjus, Phys. Rev. E 76 (2007), 041510.
A. Montanari, G. Semerjian, J. Stat. Phys. 125 (2006), 23.
F. Krzakala, A. Montanari, F. Ricci-Tersenghi, G. Semerjian, L. Zdeborova, Proc. Natl. Acad. Sci. 104 (2007), 10318.
G. Parisi and F. Zamponi, arXiv:0802.2180.
L. Santen and W. Krauth, Nature 405 (2000), 550.
L. Berthier and T.A. Witten, Phys. Rev. E 80 (2009), 021502.
M. M´ezard and G. Parisi, Phys. Rev. Lett. 82 (1999), 747.
S. Franz, M. Cardenas, G. Parisi J.Phys. A: Math. Gen. 31 (1998), L163.
T.R. Kirkpatrick, D. Thirumalai, and P.G. Wolynes, Phys. Rev. A 40 (1989), 1045.
J.-P. Bouchaud and G. Biroli, J. Chem. Phys. 121 (2004), 7347.
S. Franz, A. Montanari J. Phys. A: Math. and Theor. 40 (2007), F251.
M. Dzero, J. Schmalian, and P.G. Wolynes, Phys. Rev. B 72 (2005), 100201.
G. Biroli, J.-P. Bouchaud, A. Cavagna, T.S. Grigera, P. Verrocchio, Nature Physics 4 (2008), 771. C. Cammarota, A. Cavagna, G. Gradenigo, T.S. Grigera, P. Verrocchio, arXiv:0904.1522; Chiara Cammarota, Andrea Cavagna, Giacomo Gradenigo, Tomas S. Grigera, Paolo Verrocchio, arXiv:0906.3868.
A. Widmer-Cooper, H. Perry, P. Harrowell and D.R. Reichman, Nature Physics 4 (2008), 711.
C. Brito, M. Wyart, J. Chem. Phys. 131 (2009), 024504.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Basel AG
About this chapter
Cite this chapter
Biroli, G. (2011). Glass and Jamming Transitions. In: Duplantier, B., Halsey, T., Rivasseau, V. (eds) Glasses and Grains. Progress in Mathematical Physics, vol 61. Springer, Basel. https://doi.org/10.1007/978-3-0348-0084-6_3
Download citation
DOI: https://doi.org/10.1007/978-3-0348-0084-6_3
Published:
Publisher Name: Springer, Basel
Print ISBN: 978-3-0348-0083-9
Online ISBN: 978-3-0348-0084-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)