Growth of surface undulations at the Rosensweig instability

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 6, 2007, Pages

  Knieling, Holger ^a   Richter, Reinhard ^a   Rehberg, Ingo ^a   Matthies, Gunar ^b   Lange, Adrian ^c  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b RUHR UNIVERSITY BOCHUM   (Germany)

^c FRAUNHOFER INSTITUTE FOR MATERIAL AND BEAM TECHNOLOGY IWS   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; GROWTH RATE; LINEAR STABILITY ANALYSIS; MAGNETIC FIELD EFFECTS; MAGNETIZATION; SENSOR ARRAYS;

NONLINEAR MAGNETIZATION CURVE; PATTERN AMPLITUDE; ROSENSWEIG INSTABILITY;

WIGGLERS;

EID: 36749041899     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.066301     Document Type: Article

References (42)

1. Columbia World of Quotations, edited by, R. Andrews, M. Biggs, and, M. Seidel, (Columbia University Press, New York, 1996), Quotation No. 44484.
2. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.65.851 65, 851 (1993).
3. C. Völtz, W. Pesch, and I. Rehberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.011404 65, 011404 (2001).
4. P. Carles, Z. Huang, G. Carbone, and C. Rosenblatt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.104501 96, 104501 (2006).
5. K. A. Leach, Z. Lin, and T. P. Russel, Macromolecules MAMOBX 0024-9297 10.1021/ma048157p 38, 4868 (2005).
6. G. I. Taylor and A. D. McEwan, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112065000538 22, 1 (1965).
7. M. D. Cowley and R. E. Rosensweig, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112067001697 30, 671 (1967).
8. M. Wanner and P. Leiderer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.42.315 42, 315 (1979).
9. D. Castellvecchi, http://focus.aps.org/story/v15/st18
10. R. E. Rosensweig, Ferrohydrodynamics (Cambridge University Press, Cambridge, U.K., 1985).
11. A. Gailitis, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112077000731 82, 401 (1977).
12. R. Friedrichs and A. Engel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.021406 64, 021406 (2001).
13. R. Friedrichs and A. Engel, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00605-7 63, 826 (2003).
14. J.-C. Bacri, and D. Salin, J. Phys. (France) Lett. JPSLBO 0302-072X 45, L767 (1984).
15. R. Richter and I. V. Barashenkov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.184503 94, 184503 (2005).
16. C. Gollwitzer, G. Matthies, R. Richter, I. Rehberg, and L. Tobiska, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112006003466 571, 455 (2007).
17. B. Abou, J. Wesfreid, and S. Roux, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S002211200000882X 416, 217 (2000).
18. A. Lange, B. Reimann, and R. Richter, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.5528 61, 5528 (2000).
19. B. Reimann, R. Richter, I. Rehberg, and A. Lange, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.036220 68, 036220 (2003).
20. A. Lange, R. Richter, and L. Tobiska, Mitt. Ges. Angew. Math. Mech. ZZZZZZ 0936-7195 30, 171 (2007).
21. A. Lange, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2001-00419-1 55, 327 (2001).
22. B. Reimann, R. Richter, H. Knieling, R. Friedrichs, and I. Rehberg, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.055202 71, 055202 (R) (2005).
23. B. Reimann, Ph.D. thesis, University of Bayreuth, Shaker Verlag, Aachen, 2003.
24. R. Richter and J. Bläsing, Rev. Sci. Instrum. RSINAK 0034-6748 10.1063/1.1344178 72, 1729 (2001).
25. J. Browaeys, J.-C. Bacri, C. Flament, S. Neveu, and R. Perzynski, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510050773 9, 335 (1999).
26. R. Richter and A. Lange, in Recent Developments in Ferrofluid Research, edited by, S. Odenbach, Lecture Notes in Physics (Springer, Berlin, to be published).
27. G. Matthies and L. Tobiska, J. Magn. Magn. Mater. JMMMDC 0304-8853 10.1016/j.jmmm.2004.11.098 289, 346 (2005).
28. J. Weilepp and H. R. Brand, J. Phys. II JPAHER 1155-4312 10.1051/jp2:1996189 6, 419 (1996).
29. B. Abou, G. N. de Surgy, and J. E. Wesfreid, J. Phys. II JPAHER 1155-4312 10.1051/jp2:1997178 7, 1159 (1997).
30. H. W. Müller, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.6199 58, 6199 (1998).
31. Due to the measurement of the material data of the actual lot of EMG 909, the values of c1 and c2 differ from those given in Ref..
32. M. Bristeau, R. Glowinski, and J. Periaux, Comput. Phys. Rep. CPHREF 0167-7977 10.1016/0167-7977(87)90011-6 6, 73 (1987).
33. R. Glowinski, Handbook of Numerical Analysis (North-Holland, Amsterdam, 2003), Vol. IX, pp. 3-1176.
34. P. Klouček and F. S. Rys, SIAM J. Numer. Anal. 31, 1312 (1994). 0036-1429
35. S. Müller-Urbaniak, Ph.D. thesis, Heidelberg University, 1993.
36. V. Girault and P.-A. Raviart, Finite Element Methods for Navier-Stokes Equations (Springer-Verlag, Berlin, 1986).
37. G. Matthies and L. Tobiska, Computing CMPTA2 0010-485X 10.1007/s00607-002-1451-3 69, 119 (2002).
38. V. John and G. Matthies, Int. J. Numer. Methods Fluids IJNFDW 0271-2091 10.1002/fld.195 37, 885 (2001).
39. V. John, Int. J. Numer. Methods Fluids IJNFDW 0271-2091 10.1002/fld.377 40, 775 (2002).
40. V. John, Large Eddy Simulation of Turbulent Incompressible Flows. Analytical and Numerical Results for a Class of LES Models, Lecture Notes in Computational Science and Engineering (Springer-Verlag, Berlin, 2004) Vol. 34.
41. V. John and G. Matthies, Comput. Visualiztion Sci. 6, 163 (2004).
42. M. Schröter, K. Kassner, I. Rehberg, J. Claret, and F. Sagues, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.041607 65, 041607 (2002).