Diffusion-induced oscillations of extended defects

Physical Review Letters

Volumn 108, Issue 4, 2012, Pages

  Korzhenevskii, Alexander L ^a   Bausch, Richard ^b   Schmitz, Rudi ^c  

^a INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

^b HEINRICH HEINE UNIVERSITY   (Germany)

^c RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BANDED STRUCTURES; DIFFUSION FIELDS; EXTENDED DEFECT; INTERFACE POSITION; LIMIT-CYCLE; MULLINS-SEKERKA INSTABILITY; NON-LINEAR OSCILLATORS; OSCILLATORY PROPAGATION; PLANAR INTERFACE; SOLIDIFICATION FRONTS; SOLUTE BANDS;

NONLINEAR EQUATIONS;

BINARY ALLOYS;

EID: 84856194291     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.108.046101     Document Type: Article

References (18)

1. M. Carrard, M. Gremaud, M. Zimmermann, and W. Kurz, Acta Metall. Mater. 40, 983 (1992). AMATEB 0956-7151 10.1016/0956-7151(92)90076-Q
2. J.A.W. Elliott and S.S.L. Peppin, Phys. Rev. Lett. 107, 168301 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.168301
3. T. Kyu, H.-W. Chiu, A.J. Guenthner, Y. Okabe, H. Saito, and T. Inoue, Phys. Rev. Lett. 83, 2749 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.2749
4. A. Putnis, L. Fernandez-Diaz, and M. Prieto, Nature (London) NATUAS 0028-0836 358, 743 (1992). 10.1038/358743a0
5. M. Shore and A.D. Fowler, Can. Mineral. CAMIAG 0008-4476 34, 1111 (1996) [http://www.canmin.org/content/34/6/1111.full.pdf+html].
6. J.W. Cahn, Acta Metall. AMETAR 0001-6160 10, 789 (1962). 10.1016/0001-6160(62)90092-5
7. M.A. Lebyodkin, Y. Brechet, Y. Estrin, and L.P. Kubin, Phys. Rev. Lett. 74, 4758 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.74.4758
8. A. Boulbitch and A.L. Korzhenevskii, Phys. Rev. Lett. 107, 085505 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.085505
9. A. Karma and A. Sarkissian, Phys. Rev. Lett. 68, 2616 (1992); PRLTAO 0031-9007 10.1103/PhysRevLett.68.2616
10. A. Karma A. Sarkissian Phys. Rev. E PLEEE8 1063-651X 47, 513 (1993). 10.1103/PhysRevE.47.513
11. M. Conti, Phys. Rev. E PLEEE8 1063-651X 58, 2071 (1998); 10.1103/PhysRevE.58.2071
12. M. Conti Phys. Rev. E PLEEE8 1063-651X 58, 6101 (1998). 10.1103/PhysRevE.58.6101
13. G.J. Merchant and S.H. Davis, Acta Metall. Mater. 38, 2683 (1990). AMATEB 0956-7151 10.1016/0956-7151(90)90282-L
14. S.R. Coriell and R.F. Sekerka, J. Cryst. Growth JCRGAE 0022-0248 61, 499 (1983). 10.1016/0022-0248(83)90179-3
15. A.L. Korzhenevskii, R. Bausch, and R. Schmitz, Phys. Rev. E PLEEE8 1539-3755 83, 041609 (2011). 10.1103/PhysRevE.83.041609
16. M.J. Aziz and W.J. Boettinger, Acta Metall. Mater. 42, 527 (1994). AMATEB 0956-7151 10.1016/0956-7151(94)90507-X
17. N.N. Bogoliubov and Y.A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations (Gordon and Breach Science, New York, 1961).
18. W.W. Mullins and R.F. Sekerka, J. Appl. Phys. 35, 444 (1964). JAPIAU 0021-8979 10.1063/1.1713333