The Glass Transition - Accueil - IHESvanhove/IHESIPHT2010/talks/biroli.pdfThe glass ‘transition’...
Transcript of The Glass Transition - Accueil - IHESvanhove/IHESIPHT2010/talks/biroli.pdfThe glass ‘transition’...
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The Glass TransitionGiulio BiroliIPhT CEA Saclay
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The glass ‘transition’
Amorphous rigid material
! ! 10!2Pa · s
! ! 1012Pa · sA tiny molecule moves of few
Angstroms in a second!
At Tg by definition ! = 1012Pa · s
! ! " ! exp!
DT0
T " T0
"
from experiments
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Questions
• Is it a order-disorder transition?
• What kind of order? Amorphous order? How to define it? How to measure it?
• How to build a theory? New techniques?
• What are the real space signatures of the collective-critical phenomenon?
May be yes, but the order that is growing is ‘disordered’
Huge number of amorphous ground states; how to handle this?
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Ubiquity of glass transitionsNot only molecular liquids but also...
colloids and soft matter systems and...
Amorphous rigid material
granular materials and...
...error correcting codes and computer science
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Dynamical correlations
A lot!
• Dynamical field or overlap function as order parameter:
o(r, t, 0) = !"(r, t)!"(r, 0) Mean field theory, Field theory, simulations, effective models.
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Ideal thermodynamic glass transitionHow to unveil the existence of amorphous order and do quantitative
computations?
equilibrium configuration in state !
Thermodynamics inside the cavity with the quenched
boundary condition provided by . !
Order Parameter: overlap with Replica, Mean Field Theory (1 RSB), Simulations, Kac Models,
Renormalization Group.
!