Bachelor Project Dynamics of Droplet Phase Separation in Fluid Mixtures Systems far from equilibrium are ubiquitous in nature and exhibit non-linear phase separation dynamics as they approach equilibrium. Typical examples in daily life are coarsening of oil droplets during salad dressing, rainfall, etc. When a homogeneous binary mixture (A+B) is rendered thermodynamically unstable by a sudden temperature quench inside the co-existence curve, the system phase separates into A-rich and B-rich domains. For a quench into the metastable region of the co-existence curve, one observes droplet-like disconnected domains and phase ordering progresses via the collision & coalescence of these droplets (see Figure). Recent studies [1,2] revealed new insights into the nature of such droplet collisions – Brownian or deterministic, and confirmed the droplet-growth law for a vapor–liquid system. The aim of this project is to understand the nucleation, growth and motion of liquid droplets in a binary fluid mixture in 3-d, via molecular dynamics simulations. Particular focus will be given on quantifying the growth exponent, confirming the droplet growth law and investigating the presence of inter-droplet interaction. In this connection, a comparison of the particle-diffusion mechanism by Lifshitz-Slyozov and droplet-diffusion mechanism by Binder-Stauffer, in binary fluids, will also be addressed. 1. S. Roy and S.K. Das, Soft Matter, 9, 4178 - 4187 (2013). 2. S.K. Das, S. Roy and J. Midya, Comptes Rendus Physique 16, 303-315 (2015). Learning Content: Basics of non-equilibrium phase separation dynamics, Droplet coarsening mechanisms in fluids, molecular dynamics simulation (overview). Supervisor: Dr. Sutapa Roy Max-Planck Institute for Intelligent Systems, Heisenbergstrasse 3, 70569 Stuttgart. Room No: 5E10 Email: [email protected] URL: www.is.mpg.de/dietrich/roy 1
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