Space-time phase transitions in driven kinetically constrained lattice models

作者: T. Speck , J. P. Garrahan

DOI: 10.1140/EPJB/E2010-10800-X

关键词: Solid-state physicsStatistical physicsSpace timePhysicsPhase transitionEntropy productionErgodicitySupercoolingComplex systemEntropy (order and disorder)

摘要: Kinetically constrained models (KCMs) have been widely used to study and understand the origin of glassy dynamics. These show an ergodic-nonergodic first-order phase transition between phases distinct dynamical “activity”. We introduce driven variants two popular KCMs, the FA model and (2)-TLG, as for supercooled liquids. By classifying trajectories through their entropy production we prove that driven KCMs display an analogous space-time between dynamical finite vanishing production. discuss how trajectories with rare values can be realized as typical a mapped system modified forces.

参考文章(45)
Joel L. Lebowitz, Herbert Spohn, A GALLAVOTTI-COHEN-TYPE SYMMETRY IN THE LARGE DEVIATION FUNCTIONAL FOR STOCHASTIC DYNAMICS Journal of Statistical Physics. ,vol. 95, pp. 333- 365 ,(1999) , 10.1023/A:1004589714161
T. R. Kirkpatrick, D. Thirumalai, P. G. Wolynes, Scaling concepts for the dynamics of viscous liquids near an ideal glassy state Physical Review A. ,vol. 40, pp. 1045- 1054 ,(1989) , 10.1103/PHYSREVA.40.1045
Jakob Mehl, Thomas Speck, Udo Seifert, Large deviation function for entropy production in driven one-dimensional systems. Physical Review E. ,vol. 78, pp. 011123- ,(2008) , 10.1103/PHYSREVE.78.011123
Suzanne M. Fielding, Interrupted coarsening in a driven kinetically constrained Ising chain. Physical Review E. ,vol. 66, pp. 016103- ,(2002) , 10.1103/PHYSREVE.66.016103
Sharon C Glotzer, Spatially heterogeneous dynamics in liquids: insights from simulation Journal of Non-crystalline Solids. ,vol. 274, pp. 342- 355 ,(2000) , 10.1016/S0022-3093(00)00225-8
M. Sellitto, Asymmetric exclusion processes with constrained dynamics. Physical Review Letters. ,vol. 101, pp. 048301- ,(2008) , 10.1103/PHYSREVLETT.101.048301
Robert L. Jack, David Kelsey, Juan P. Garrahan, David Chandler, Negative differential mobility of weakly driven particles in models of glass formers. Physical Review E. ,vol. 78, pp. 011506- ,(2008) , 10.1103/PHYSREVE.78.011506
A. Baule, R. M. L. Evans, Invariant quantities in shear flow. Physical Review Letters. ,vol. 101, pp. 240601- 240601 ,(2008) , 10.1103/PHYSREVLETT.101.240601
L. O. Hedges, R. L. Jack, J. P. Garrahan, D. Chandler, Dynamic Order-Disorder in Atomistic Models of Structural Glass Formers Science. ,vol. 323, pp. 1309- 1313 ,(2009) , 10.1126/SCIENCE.1166665
Glenn H. Fredrickson, Hans C. Andersen, Kinetic Ising Model of the Glass Transition Physical Review Letters. ,vol. 53, pp. 1244- 1247 ,(1984) , 10.1103/PHYSREVLETT.53.1244