SC12 Lorentz Ratke

Short Course on Growth and Coarsening in Multi-Phase Materials
by Lorenz Ratke

10:00 – 10:30 Registration
10:30 – 11:30 Session 1. Introduction and Basics. The phenomenon of growth and coarsening in alloys: precipitates in alloys, phase decomposition in general, organic and metallic immiscible liquids, liquid-phase sintering, dendritic networks. Experimental observations of growth and coarsening. Thermodynamics of driving forces for growth; Thermodynamic basis of coarsening: the Gibbs-Thomson equation for various cases.
11:30 – 11:45 Coffee break
11:45 – 12:45 Session 2. Growth. Mathematics of growth by diffusion, interface reactions of first and second order. Convective diffusion equation and the effects of flow on growth (Stokes flow, Marangoni flow). Statistics of growth (particle size distributions).
12:45 – 14:00 Lunch break (lunch not included)
14:00 – 15:00 Session 3. Coarsening. Basics of Ostwald ripening – the LSW and Marqusee and Ross approach. Scaling laws. Analytical solutions for the diffusive case, interface reactions and fluid flow.  Comparison with experimental results. Effect of finite volume fraction: Discussion of various approaches: Geometrical ones, Voorhees and Glicksman, Marsh and Glicksman and  numerical modeling results (phase field).
15:00 – 15:15 Coffee break
15:15 – 16:15 Session 4. Complex microstructures. Coarsening in dendritic zones. Liquid phase sintering (effect of coagulation/coalescence). Coarsening in an electric field: nanostructured interconnects. Coarsening of PU foams. Summary


Copies and CD of all slides in the PowerPoint format will be provided at the beginning of the SC.


Dr. Lorenz Ratke (62) is a deputy director of the Institute of Materials Physics in Space of the German Aerospace Center DLR in Cologne, Germany and professor at the RWTH Aachen University, Germany.

Dr Ratke holds a diploma in Physics of the University of Münster, Germany, a PhD degree in metal physics (RWTH Aachen) and a Dr.habil in metal physics from the University of Stuttgart, Germany and a Dr.h.c. from the University of Miskolc, Hungary. His research interests include coarsening, phase separation in alloys, eutectic, monotectic and dendritic solidification and transport phenomena. He has authored more than 250 papers with more than 2000 citations. He served as visiting professor at the University of Iowa (Iowa City, USA) and Miskolc University (Hungary). The course is based on lectures given at the Universities of Iowa and Miskolc and on a book written by the speaker and Prof. Peter Voorhees entitled: Growth and Coarsening, Springer, Berlin, 2002.