A Mesoscale Perspective on the Tolman Length

التفاصيل البيبلوغرافية
العنوان: A Mesoscale Perspective on the Tolman Length
المؤلفون: Lulli, Matteo, Biferale, Luca, Falcucci, Giacomo, Sbragaglia, Mauro, Shan, Xiaowen
سنة النشر: 2021
المجموعة: Condensed Matter
Nonlinear Sciences
Physics (Other)
مصطلحات موضوعية: Condensed Matter - Statistical Mechanics, Nonlinear Sciences - Cellular Automata and Lattice Gases, Physics - Fluid Dynamics
الوصف: We demonstrate that the multi-phase Shan-Chen lattice Boltzmann method (LBM) yields a curvature dependent surface tension $\sigma$ as computed from three-dimensional hydrostatic droplets/bubbles simulations. Such curvature dependence is routinely characterized, at first order, by the so-called {\it Tolman length} $\delta$. LBM allows to precisely compute $\sigma$ at the surface of tension $R_s$ and determine the Tolman length from the coefficient of the first order correction. The corresponding values of $\delta$ display universality for different equations of state, following a power-law scaling near the critical temperature. The Tolman length has been studied so far mainly via computationally demanding molecular dynamics (MD) simulations or by means of density functional theory (DFT) approaches playing a pivotal role in extending Classical Nucleation Theory. The present results open a new hydrodynamic-compliant mesoscale arena, in which the fundamental role of the Tolman length, alongside real-world applications to cavitation phenomena, can be effectively tackled. All the results can be independently reproduced through the "idea.deploy" framework.
Comment: 10 pages, 5 figures: extended text and added figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevE.105.015301
URL الوصول: http://arxiv.org/abs/2105.08772
رقم الأكسشن: edsarx.2105.08772
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevE.105.015301