SKM 2023 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 16: Complex Fluids and Soft Matter (joint session DY/CPP)
DY 16.2: Vortrag
Dienstag, 28. März 2023, 10:15–10:30, MOL 213
Can liquid-state theory predict jamming of hard particles? — •Carmine Anzivino1, Mathias Casiulis2, Amgad Moussa3, Stefano Martiniani2, and Alessio Zaccone1 — 1Department of Physics "A. Pontremoli", University of Milan, via Celoria 16, 20133 Milan, Italy — 2Center for Soft Matter Research, Department of Physics, New York University, New York 10003, USA — 3Syngenta AG, 4058 Basel, Switzerland
By generalizing the notion of maximally random jammed (MRJ) state [1,2] to that of MRJ-line, we show [3] that it is reasonable to assume the most random branch of jammed states to undergo crowding in a way qualitatively similar to an equilibrium liquid. We then prove that, for hard-sphere systems, liquid-state theories can be succesfully used to estimate the RCP density, when the latter is identified with the densest isostatic point, i. e. the densest among the MRJ states with z=6.
Our finding is further enforced by the analysis of polydisperse systems. Either in the case of bidisperse and polydisperse hard spheres our prediction of the RCP density is in very good agreement with simulations, for a large values of size ratios and polydispersity.
[1] S. Toquato, T. M. Truskett, and P. G. Debenedetti, Phys. Rev. Lett. 84, 2064 (2000). [2] S. Torquato and F. H. Stillinger, Reviews of Modern Physics 82, 2633 (2010). [3] C. Anzivino, M. Casiulis, T. Zhang, A. S. Moussa, S. Martiniani and A. Zaccone, "Estimating RCP as the densest isostatic packing in bidisperse and polydisperse hard spheres", manuscript submitted (2022).