Exact mappings between fermionic Ising spin-glass and classical spin-glass models
Physical Review B: Condensed Matter and Materials Physics 72 (2005) 104427-1 to 104427-5
Strategy correlations and timing of adaptation in Minority Games
European Physical Journal B 45 (2005) 153 to 168
GLASSY BEHAVIOR DUE TO KINETIC CONSTRAINTS: FROM TOPOLOGICAL FOAM TO BACKGAMMON
Chapter in Current Topics in Physics, World Scientific Publishing (2005) 151-174
Glassy behavior in an exactly solved spin system with a ferromagnetic transition.
Phys Rev E Stat Nonlin Soft Matter Phys 71:3 Pt 2A (2005) 036112
Abstract:
We show that applying simple dynamical rules to Baxter's eight-vertex model leads to a system which resembles a glass-forming liquid. There are analogies with liquid, supercooled liquid, glassy, and crystalline states. The disordered phases exhibit strong dynamical heterogeneity at low temperatures, which may be described in terms of an emergent mobility field. Their dynamics are well described by a simple model with trivial thermodynamics, but an emergent kinetic constraint. We show that the (second order) thermodynamic transition to the ordered phase may be interpreted in terms of confinement of the excitations in the mobility field. We also describe the aging of disordered states toward the ordered phase, in terms of simple rate equations.Stationary states of a spherical Minority Game with ergodicity breaking
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2005) ARTN P10009