Glassiness through the emergence of effective dynamical constraints in interacting systems

I describe a class of spin models with short-range plaquette interactions, whose static equilibrium properties are trivial, but which display glassy dynamics at low temperatures. These models have a dual description in terms of free defects subject to effective kinetic constraints, and are thus an explicit realization of the constrained dynamics picture of glassy systems.

[1]  A. Odlyzko,et al.  Algebraic properties of cellular automata , 1984 .

[2]  K. Hoffmann,et al.  LETTER TO THE EDITOR: Clouds, fibres and echoes: a new approach to studying random walks on fractals , 2001 .

[3]  M. .. Moore.  Exactly Solved Models in Statistical Mechanics , 1983 .

[4]  C. Angell,et al.  Formation of Glasses from Liquids and Biopolymers , 1995, Science.

[5]  Glassy behaviour in a 3-state spin model , 2001, cond-mat/0101100.

[6]  W. Gotze,et al.  Relaxation processes in supercooled liquids , 1992 .

[7]  A. Young,et al.  Spin glasses and random fields , 1997 .

[8]  Aging in lattice-gas models with constrained dynamics , 1997, cond-mat/9704140.

[9]  Andersen,et al.  Kinetic lattice-gas model of cage effects in high-density liquids and a test of mode-coupling theory of the ideal-glass transition. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  Measuring Equilibrium Properties in Aging Systems , 1998, cond-mat/9803108.

[11]  Baessler,et al.  Viscous flow in supercooled liquids analyzed in terms of transport theory for random media with energetic disorder. , 1987, Physical review letters.

[12]  Glassy Time-Scale Divergence and Anomalous Coarsening in a Kinetically Constrained Spin Chain , 1999, cond-mat/9904136.

[13]  A. Lipowski.  Glassy behaviour and semi-local invariance in Ising model with four-spin interaction , 1997 .

[14]  R. Baxter.  Exactly solved models in statistical mechanics , 1982 .

[15]  R. Palmer,et al.  Models of hierarchically constrained dynamics for glassy relaxation , 1984 .

[16]  Garrahan,et al.  Glassiness and constrained dynamics of a short-range nondisordered spin model , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[17]  Crossover from fragile to strong glassy behavior in kinetically constrained systems. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  Glenn H. Fredrickson,et al.  Kinetic Ising model of the glass transition , 1984 .

[19]  Inherent structures and nonequilibrium dynamics of one-dimensional constrained kinetic models: A comparison study , 2000, cond-mat/0006045.

[20]  T. R. Kirkpatrick,et al.  Dynamics of the structural glass transition and the p-spin-interaction spin-glass model. , 1987, Physical review letters.

[21]  C Moore,et al.  Glassy dynamics and aging in an exactly solvable spin model. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[22]  Ludger Santen,et al.  Absence of thermodynamic phase transition in a model glass former , 2000, Nature.

[23]  J. Jäckle,et al.  A hierarchically constrained kinetic Ising model , 1991 .