Juan P Garrahan et al 2009 J. Phys. A: Math. Theor. 42 075007 doi:10.1088/1751-8113/42/7/075007
First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
Juan P Garrahan1, Robert L Jack2,3, Vivien Lecomte4,5, Estelle Pitard6, Kristina van Duijvendijk4 and Frédéric van Wijland4
Show affiliationsWe investigate the dynamics of kinetically constrained models of glass formers by analysing the statistics of trajectories of the dynamics, or histories, using large deviation function methods. We show that, in general, these models exhibit a first-order dynamical transition between active and inactive dynamical phases. We argue that the dynamical heterogeneities displayed by these systems are a manifestation of dynamical first-order phase coexistence. In particular, we calculate dynamical large deviation functions, both analytically and numerically, for the Fredrickson–Andersen model, the East model, and constrained lattice gas models. We also show how large deviation functions can be obtained from a Landau-like theory for dynamical fluctuations. We discuss possibilities for similar dynamical phase-coexistence behaviour in other systems with heterogeneous dynamics.
- PACS
-
64.70.P- Glass transitions of specific systems
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
- MSC
-
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
82B26 Phase transitions (general)
82B30 Statistical thermodynamics (See also 80-XX)
60J05 Markov processes with discrete parameter
82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.)
- Subjects
- Dates
-
Issue 7 (20 February 2009)
Received 30 October 2008, in final form 15 December 2008
Published 21 January 2009
-
First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
Juan P Garrahan et al 2009 J. Phys. A: Math. Theor. 42 075007
-
Anomalous pressure effect on steplike magnetostriction of (La0.4Pr0.6)1.2 Sr1.8Mn2O7 bilayered manganese oxide
Y Yamato et al 2009 J. Phys.: Conf. Ser. 150 042121
-
Carbon nanotube–nanocrystal heterostructures fabricated by electrophoretic deposition
S V Mahajan et al 2008 Nanotechnology 19 195301
-
Duality between random trap and barrier models
Robert L Jack and Peter Sollich 2008 J. Phys. A: Math. Theor. 41 324001
-
High-bandwidth control of a piezoelectric nanopositioning stage in the presence of plant uncertainties
Sumeet S Aphale et al 2008 Nanotechnology 19 125503
-
Selected immobilization of individual nanoparticles by spot-exposure electron-beam-induced deposition
Daniel J Burbridge et al 2010 Nanotechnology 21 045302
-
The effect of low-temperature plasma on bacteria as observed by repeated AFM imaging
René Pompl et al 2009 New J. Phys. 11 115023
-
Electroluminescence from a single InGaN quantum dot in the green spectral region up to 150 K
J Kalden et al 2010 Nanotechnology 21 015204
-
3D finite element analysis of electrostatic deflection and shielding of commercial and FIB-modified cantilevers for electric and Kelvin force microscopy: II. Rectangular shaped cantilevers with asymmetric pyramidal tips
Giovanni Valdrè and Daniele Moro 2008 Nanotechnology 19 405502
-
Geometric effects on EUV emissions in spherical and planar targets
M S Tillack et al 2008 J. Phys.: Conf. Ser. 112 042060
Users also read
What's this?- On the conditions for discrimination between quantum states with minimum error
- Universal spectral parameter-dependent Lax operators for the Drinfeld double of the dihedral group D3
- Variational approach to the scaling function of the 2D Ising model in a magnetic field
Related review articles
What's this?- The effective temperature
- Unconventional phase transitions in a constrained single polymer chain
- On the uncertainty in the regularized solution