TY - JOUR AU - Boussinot, G. AU - Hüter, C. AU - Brener, E. A. TI - Growth of a two-phase finger in eutectics systems JO - Physical review / E VL - 83 IS - 2 SN - 1539-3755 CY - College Park, Md. PB - APS M1 - PreJuSER-19498 SP - 020601 PY - 2011 N1 - We acknowledge the support of the Deutsche Forschungsgemeinschaft under Project No. SPP1296. We are also grateful to M. Plapp for providing the phase-field code and D. E. Temkin for useful discussions. AB - We present a theoretical study of the growth of a two-phase finger in eutectic systems. This pattern was observed experimentally by Akamatsu and Faivre [Phys. Rev. E 61, 3757 (2000)]. We study this two-phase finger using a boundary-integral formulation and we complement our investigation by a phase-field validation of the stability of the pattern. The deviations from the eutectic temperature and from the eutectic concentration provide two independent control parameters, leading to very different patterns depending on their relative importance. We propose scaling laws for the velocity and the different length scales of the pattern. KW - J (WoSType) LB - PUB:(DE-HGF)16 UR - <Go to ISI:>//WOS:000287078700002 DO - DOI:10.1103/PhysRevE.83.020601 UR - https://juser.fz-juelich.de/record/19498 ER -