16 January, 2010
Abstract
When a system of hard spheres is compressed, a point is reached when the system 'jams', and the pressure shoots up to infinity. The point at which this just begins to happen is in a sense 'critical', and is characterised by diverging lengths. The question that arises is: is this correlation long-searched correlation length associated with the glass transition?
References and suggested reading
- Leticia Cugliandolo, “Lecture notes in Slow Relaxation and non equilibrium dynamics in condensed matter”, Les Houches Session 77 July 2002, J-L Barrat, J Dalibard, J Kurchan, M V Feigel'man eds. http://arxiv.org/abs/cond-mat/0210312
- J. Kurchan et L. Laloux, Phase-space geometry and slow dynamics, J. Phys. A 29, 1929 (1996)
http://arxiv.org/abs/cond-mat/9510079
18 January, 2010
Abstract
Aging is the property of glasses of continuing to evolve, in such a way that at each time we may measure the time that has elapsed after preparation. In the last fifteen years or so, it became clear that an analytic theory for such a regime was possible -- quite a surprise, given that one is far away from equilibrium.
References and suggested reading
- Matthieu Wyart, “On the Rigidity of Amorphous Solids”, Annales de Physique, Vol. 30 No. 3 (May-June 2005) http://arxiv.org/abs/cond-mat/0512155
- Carolina Brito, Matthieu Wyart, “Heterogeneous Dynamics, Marginal Stability and Soft Modes in Hard Sphere Glasses”, J. Stat. Mech. (2007) L08003 http://arxiv.org/abs/cond-mat/0611097
- R. Mari, F. Krzakala, J. Kurchan, “Jamming versus Glass Transitions”, Phys. Rev. Lett. 103, 025701 (2009) http://arxiv.org/abs/0806.3665