Kinetically driven glassy transition in an exactly solvable toy model with a reversible mode coupling mechanism and trivial statics
| Autor: | Kyozi Kawasaki, Bongsoo Kim |
|---|---|
| Rok vydání: | 2002 |
| Předmět: |
Physics
Toy model Statistical Mechanics (cond-mat.stat-mech) FOS: Physical sciences Non-equilibrium thermodynamics Disordered Systems and Neural Networks (cond-mat.dis-nn) Condensed Matter - Disordered Systems and Neural Networks Condensed Matter Physics Condensed Matter::Soft Condensed Matter symbols.namesake Classical mechanics Distribution function Factorization Mode coupling symbols Ergodic theory General Materials Science Hamiltonian (quantum mechanics) Statics Condensed Matter - Statistical Mechanics |
| Zdroj: | Journal of Physics: Condensed Matter. 14:1627-1636 |
| ISSN: | 1361-648X 0953-8984 |
| DOI: | 10.1088/0953-8984/14/7/319 |
| Popis: | We propose a toy model with reversible mode coupling mechanism and with trivial Hamiltonian (and hence trivial statics). The model can be analyzed exactly without relying upon uncontrolled approximation such as the factorization approximation employed in the current MCT. We show that the model exhibits a kinetically driven transition from an ergodic phase to nonergodic phase. The nonergodic state is the nonequilibrium stationary solution of the Fokker-Planck equation for the distribution function of the model Comment: 10 pages, 1 figure, contribution to the Proceedings of the Barcelona Workshop 'Glassy Behavior of Kinetically Constrained Models'. To appear in J. Phys. Condens. Matter |
| Databáze: | OpenAIRE |
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