Academic Journal
Analytical approach to the dynamics of facilitated spin models on random networks
| العنوان: | Analytical approach to the dynamics of facilitated spin models on random networks |
|---|---|
| المؤلفون: | Peter G. Fennell, James Gleeson, Davide Cellai |
| سنة النشر: | 2014 |
| مصطلحات موضوعية: | glass-transition, bootstrap percolation, bethe lattice |
| الوصف: | Facilitated spin models were introduced some decades ago to mimic systems characterized by a glass transition. Recent developments have shown that a class of facilitated spin models is also able to reproduce characteristic signatures of the structural relaxation properties of glass-forming liquids. While the equilibrium phase diagram of these models can be calculated analytically, the dynamics are usually investigated numerically. Here we propose a network-based approach, called approximate master equation (AME), to the dynamics of the Fredrickson-Andersen model. The approach correctly predicts the critical temperature at which the glass transition occurs. We also find excellent agreement between the theory and the numerical simulations for the transient regime, except in close proximity of the liquid-glass transition. Finally, we analytically characterize the critical clusters of the model and show that the departures between our AME approach and the Monte Carlo can be related to the large interface between blocked and unblocked spins at temperatures close to the glass transition. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | unknown |
| Relation: | 10344/4445; https://figshare.com/articles/journal_contribution/Analytical_approach_to_the_dynamics_of_facilitated_spin_models_on_random_networks/19813978 |
| الاتاحة: | https://figshare.com/articles/journal_contribution/Analytical_approach_to_the_dynamics_of_facilitated_spin_models_on_random_networks/19813978 |
| Rights: | CC BY-NC-SA 1.0 |
| رقم الانضمام: | edsbas.BD6B2359 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |