TY - JOUR
T1 - First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
AU - Garrahan, J P
AU - Jack, Robert L
AU - Lecomte, V
AU - Pitard, E
AU - van Duijvendijk, K
AU - van Wijland, F
PY - 2009/2/20
Y1 - 2009/2/20
N2 - We 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.
AB - We 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.
UR - http://www.scopus.com/inward/record.url?scp=64549144525&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1088/1751-8113/42/7/075007
U2 - 10.1088/1751-8113/42/7/075007
DO - 10.1088/1751-8113/42/7/075007
M3 - Article
VL - 42
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 7
M1 - 075007
ER -