Theory of kinetically-constrained-models dynamics
The mean-field theory of Kinetically-Constrained-Models is developed by considering the Fredrickson-Andersen model on the Bethe lattice. Using certain properties of the dynamics observed in actual numerical experiments we derive asymptotic dynamical equations equal to those of Mode-Coupling-Theory....
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| Format: | Article |
| Language: | English |
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2025-01-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.18.1.020 |
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| author | Gianmarco Perrupato, Tommaso Rizzo |
| author_facet | Gianmarco Perrupato, Tommaso Rizzo |
| author_sort | Gianmarco Perrupato, Tommaso Rizzo |
| collection | DOAJ |
| description | The mean-field theory of Kinetically-Constrained-Models is developed by considering the Fredrickson-Andersen model on the Bethe lattice. Using certain properties of the dynamics observed in actual numerical experiments we derive asymptotic dynamical equations equal to those of Mode-Coupling-Theory. Analytical predictions obtained for the dynamical exponents are successfully compared with numerical simulations in a wide range of models, including the case of generic values of the connectivity and the facilitation, random pinning and fluctuating facilitation. The theory is thus validated for both continuous and discontinuous transitions and also in the case of higher order critical points characterized by logarithmic decays. |
| format | Article |
| id | doaj-art-3dececef42b0445d9f8c3608c9d03cdb |
| institution | Kabale University |
| issn | 2542-4653 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj-art-3dececef42b0445d9f8c3608c9d03cdb2025-01-17T11:44:11ZengSciPostSciPost Physics2542-46532025-01-0118102010.21468/SciPostPhys.18.1.020Theory of kinetically-constrained-models dynamicsGianmarco Perrupato, Tommaso RizzoThe mean-field theory of Kinetically-Constrained-Models is developed by considering the Fredrickson-Andersen model on the Bethe lattice. Using certain properties of the dynamics observed in actual numerical experiments we derive asymptotic dynamical equations equal to those of Mode-Coupling-Theory. Analytical predictions obtained for the dynamical exponents are successfully compared with numerical simulations in a wide range of models, including the case of generic values of the connectivity and the facilitation, random pinning and fluctuating facilitation. The theory is thus validated for both continuous and discontinuous transitions and also in the case of higher order critical points characterized by logarithmic decays.https://scipost.org/SciPostPhys.18.1.020 |
| spellingShingle | Gianmarco Perrupato, Tommaso Rizzo Theory of kinetically-constrained-models dynamics SciPost Physics |
| title | Theory of kinetically-constrained-models dynamics |
| title_full | Theory of kinetically-constrained-models dynamics |
| title_fullStr | Theory of kinetically-constrained-models dynamics |
| title_full_unstemmed | Theory of kinetically-constrained-models dynamics |
| title_short | Theory of kinetically-constrained-models dynamics |
| title_sort | theory of kinetically constrained models dynamics |
| url | https://scipost.org/SciPostPhys.18.1.020 |
| work_keys_str_mv | AT gianmarcoperrupatotommasorizzo theoryofkineticallyconstrainedmodelsdynamics |