Multi species turing patterns in three dimensions

In 1952, Alan M. Turing presented a reaction-diffusion model that described formation of skin patterns. The patterns he predicted have later been found in various natural phenomena, such as in skins of fish or even in vegetation around termite hills. His patterns have even been taken to the micro-level. In 1984, David A. Young proposed a...

Modeling Pedestrian Tactical and Operational Decisions Under Risk and Uncertainty: A Two-Layer Model Framework

Pedestrian tactical choices and operational movement in evacuations essentially pertain to decision-making under risk and uncertainty. However, in microscopic evacuation models, this attribute has been greatly overlooked, even lacking a methodology to delineate the related decision characteristics (bounded rationality and risk attitudes), let...

Topological aspects responsible for recrystallization evolution in an IF-steel sheet – Investigation with cellular-automaton simulations

A cellular automaton algorithm for curvature-driven coarsening is applied to a cold-rolled interstitial-free steel's microstructure - obtained through electron backscatter diffraction (EBSD). Recrystallization nucleation occurs naturally during the simulation, due to the highly heterogeneous and hence competitive growth among pre-existing ...

Modeling the Austenite Ferrite Transformation by Cellular Automaton: Improving Interface Stability

A three-dimensional mixed-mode cellular automaton model [C. Bos, M. G. Mecozzi, and J. Sietsma. Computational Materials Science 48.3 (2010): 692-699] for the austenite to ferrite transformation in low-carbon steel has been analyzed and improved. A comparison between the new and conventional model has been made and the improvements found are...