Is the Stillinger and Weber decomposition relevant for coarsening models

We study three kinetic models with constraint, namely the symmetrically constrained Ising chain, the asymmetrically constrained Ising chain, and the backgammon model. All these models show glassy behaviour and coarsening. We apply to them the Stillinger and Weber (SW) decomposition, and find that they share the same configurational entropy, despite their different non-equilibrium dynamics. We conclude therefore that the SW decomposition is not relevant for models of this type.

[1]  A. Crisanti,et al.  Is the Stillinger and Weber decomposition relevant for coarsening models? , 2002 .

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

[3]  A. Crisanti,et al.  Activated processes and Inherent Structure dynamics of finite-size mean-field models for glasses , 1999, cond-mat/9911226.

[4]  A. Crisanti,et al.  Potential energy landscape of finite-size mean-field models for glasses , 1999, cond-mat/9907499.

[5]  F. Sciortino,et al.  Aging as dynamics in configuration space , 1999, cond-mat/9905090.

[6]  G. Biroli,et al.  From inherent structures to pure states: Some simple remarks and examples , 1999, cond-mat/9912061.

[7]  F. Sciortino,et al.  Inherent Structure Entropy of Supercooled Liquids , 1999, cond-mat/9906081.

[8]  Peter Sollich,et al.  Glassy Time-Scale Divergence and Anomalous Coarsening in a Kinetically Constrained Spin Chain , 1999, cond-mat/9904136.

[9]  J. Jäckle,et al.  Recursive dynamics in an asymmetrically constrained kinetic Ising chain , 1999 .

[10]  A. Barrat MONTE CARLO SIMULATIONS OF THE VIOLATION OF THE FLUCTUATION-DISSIPATION THEOREM IN DOMAIN GROWTH PROCESSES , 1997, cond-mat/9710069.

[11]  Miguel Rubí,et al.  Complex Behaviour of Glassy Systems , 1997 .

[12]  S. Franz,et al.  Glassy mean-field dynamics of the backgammon model , 1996 .

[13]  Ritort,et al.  Evidence of a critical time in constrained kinetic Ising models. , 1995, Physical review. B, Condensed matter.

[14]  Jean-Philippe Bouchaud,et al.  Entropy barriers and slow relaxation in some random walk models , 1995 .

[15]  J. Jäckle,et al.  Dynamics of the symmetrically constrained Ising chain , 1995 .

[16]  F. Ritort,et al.  Glassiness in a Model without Energy Barriers. , 1995, Physical review letters.

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

[18]  J. Kurchan,et al.  Analytical solution of the off-equilibrium dynamics of a long-range spin-glass model. , 1993, Physical review letters.

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

[20]  Thomas A. Weber,et al.  Hidden structure in liquids , 1982 .

[21]  B. Derrida Random-energy model: An exactly solvable model of disordered systems , 1981 .