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Coexistence of symmetric and parity-broken dendrites in a channel
Institution:1. School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv 69978, Israel;2. Department of Physics, Bar-Ilan University, Ramat Gan 52900, Israel;1. VTT Technical Research Centre of Finland Ltd, Espoo, Finland;2. Department of Physics and Centre for the Physics of Materials, McGill University, Montreal, Canada;3. Materials Science Division, Lawrence Livermore National Laboratory, Livermore, USA;4. Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, USA;1. Earth and Life Institute, Soil Science, Université catholique de Louvain (UCLouvain), Croix du Sud 2, L7.05.10, 1348 Louvain-La-Neuve, Belgium;2. CNRS, CEREGE, Aix Marseille Université, IRD, INRAE,13545 Aix-en-Provence Cedex 04, France;1. Institute of Applied Materials(IAM-CMS), Karlsruhe Institute of Technology (KIT), Strasse am Forum 7, 76131 Karlsruhe, Germany;2. Karlsruhe University of Applied Sciences, Institute of Materials and Processes (IMP), Moltkestr. 30, 76133 Karlsruhe, Germany;3. Department of Materials Science and Engineering, Indian Institute of Technology, Kanpur, Uttar Pradesh, 208016, India;4. School for Engineering of Matter, Transport and Energy, Arizona State University, 551 E. Tyler Mall, Tempe, AZ 85287, United States
Abstract:We numerically solve the steady-state equation and the stability spectrum for solidification in a channel. For a large range of parameters stable symmetric and stable parity-broken solutions coexist. The branches of parity-broken solutions are found to originate from the symmetric solutions through standard bifurcations.
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