Glassy behaviour in simple kinetically constrained models: topological networks, lattice analogues and annihilation-diffusion
We report a study of a series of simple model systems with only non-interacting Hamiltonians, and hence simple equilibrium thermodynamics, but with constrained dynamics of a type initially suggested by foams and idealized covalent glasses. We demonstrate that macroscopic dynamical features character...
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| Format: | Conference item |
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2002
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| _version_ | 1797077902616952832 |
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| author | Sherrington, D Davison, L Buhot, A Garrahan, J |
| author_facet | Sherrington, D Davison, L Buhot, A Garrahan, J |
| author_sort | Sherrington, D |
| collection | OXFORD |
| description | We report a study of a series of simple model systems with only non-interacting Hamiltonians, and hence simple equilibrium thermodynamics, but with constrained dynamics of a type initially suggested by foams and idealized covalent glasses. We demonstrate that macroscopic dynamical features characteristic of real and more complex model glasses, such as two-time decays in energy and auto-correlation functions, arise from the dynamics and we explain them qualitatively and quantitatively in terms of annihilation-diffusion concepts and theory. The comparison is with strong glasses. We also consider fluctuation-dissipation relations and demonstrate subtleties of interpretation. We find no FDT breakdown when the correct normalization is chosen. |
| first_indexed | 2024-03-07T00:24:41Z |
| format | Conference item |
| id | oxford-uuid:7dbe2571-f665-4d8c-9721-5923f150ea34 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T00:24:41Z |
| publishDate | 2002 |
| record_format | dspace |
| spelling | oxford-uuid:7dbe2571-f665-4d8c-9721-5923f150ea342022-03-26T21:05:33ZGlassy behaviour in simple kinetically constrained models: topological networks, lattice analogues and annihilation-diffusionConference itemhttp://purl.org/coar/resource_type/c_5794uuid:7dbe2571-f665-4d8c-9721-5923f150ea34Symplectic Elements at Oxford2002Sherrington, DDavison, LBuhot, AGarrahan, JWe report a study of a series of simple model systems with only non-interacting Hamiltonians, and hence simple equilibrium thermodynamics, but with constrained dynamics of a type initially suggested by foams and idealized covalent glasses. We demonstrate that macroscopic dynamical features characteristic of real and more complex model glasses, such as two-time decays in energy and auto-correlation functions, arise from the dynamics and we explain them qualitatively and quantitatively in terms of annihilation-diffusion concepts and theory. The comparison is with strong glasses. We also consider fluctuation-dissipation relations and demonstrate subtleties of interpretation. We find no FDT breakdown when the correct normalization is chosen. |
| spellingShingle | Sherrington, D Davison, L Buhot, A Garrahan, J Glassy behaviour in simple kinetically constrained models: topological networks, lattice analogues and annihilation-diffusion |
| title | Glassy behaviour in simple kinetically constrained models: topological networks, lattice analogues and annihilation-diffusion |
| title_full | Glassy behaviour in simple kinetically constrained models: topological networks, lattice analogues and annihilation-diffusion |
| title_fullStr | Glassy behaviour in simple kinetically constrained models: topological networks, lattice analogues and annihilation-diffusion |
| title_full_unstemmed | Glassy behaviour in simple kinetically constrained models: topological networks, lattice analogues and annihilation-diffusion |
| title_short | Glassy behaviour in simple kinetically constrained models: topological networks, lattice analogues and annihilation-diffusion |
| title_sort | glassy behaviour in simple kinetically constrained models topological networks lattice analogues and annihilation diffusion |
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