Thermodynamics, formation dynamics and structural correlations in the bulk amorphous phase of the phase-field crystal model

التفاصيل البيبلوغرافية
العنوان: Thermodynamics, formation dynamics and structural correlations in the bulk amorphous phase of the phase-field crystal model
المؤلفون: Abdalla, Shaho, Archer, Andrew J., Gránásy, László, Tóth, Gyula I.
سنة النشر: 2022
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Soft Condensed Matter, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Materials Science, Condensed Matter - Statistical Mechanics
الوصف: We investigate bulk thermodynamic and microscopic structural properties of amorphous solids in the framework of the phase-field crystal (PFC) model. These are metastable states with a non-uniform density distribution having no long-range order. From extensive numerical simulations we determine the distribution of free energy density values in varying size amorphous systems and also the point-to-set correlation length, which is the radius of the largest volume of amorphous one can take while still having the particle arrangements within the volume determined by the particle ordering at the surface of the chosen volume. We find that in the thermodynamic limit, the free energy density of the amorphous tends to a value that has a slight dependence on the initial state from which it was formed -- i.e.\ it has a formation history dependence. The amorphous phase is observed to form on both sides of the liquid linear-stability limit, showing that the liquid to amorphous transition is first order, with an associated finite free energy barrier when the liquid is metastable. In our simulations this is demonstrated when noise in the initial density distribution is used to induce nucleation events from the metastable liquid. Depending on the strength of the initial noise, we observe a variety of nucleation pathways, in agreement with previous results for the PFC model, and which show that amorphous precursor mediated multi-step crystal nucleation can occur in colloidal systems.
Comment: 13 pages, 16 figures
نوع الوثيقة: Working Paper
DOI: 10.1063/5.0114705
URL الوصول: http://arxiv.org/abs/2209.05374
رقم الأكسشن: edsarx.2209.05374
قاعدة البيانات: arXiv