Helices in the wake of precipitation fronts

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

Volumn 88, Issue 2, 2013, Pages

  Thomas, Shibi ^a   Lagzi, István ^b   Molnár, Ferenc ^c   Rácz, Zoltán ^a  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^b BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

^c Research Rensselaer Polytechnic Institute   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL CALCULATION; CAHN-HILLIARD EQUATION; CRITICAL VALUE; HELICAL PATTERN; HELICAL STRUCTURES; PRECIPITATION FRONTS; THEORETICAL STUDY; UNSTABLE STATE;

CYLINDERS (SHAPES);

WAKES;

EID: 84884225646     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.88.022141     Document Type: Article

References (37)

1. D. S. Su, Angew. Chem. Int. Ed. Engl. 1433-7851 10.1002/anie.201007147 50, 4747 (2011).
2. H. Imai and Y. Oaki, Angew. Chem. Int. Ed. Engl. 1433-7851 10.1002/anie.200352891 43, 1363 (2004).
3. P. X. Gao, Y. Ding, W. J. Mai, W. L. Hughes, C. S. Lao, and Z. L. Wang, Science SCIEAS 0036-8075 10.1126/science.1116495 309, 1700 (2005).
4. J. M. Lehn, A. Rigault, J. Siegel, J. Harrowfield, B. Chevrier, and D. Moras, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.84.9.2565 84, 2565 (1987).
5. J. H. Jung, Y. Ono, K. Hanabusa, and S. Shinkai, J. Am. Chem. Soc. JACSAT 0002-7863 10.1021/ja000449s 122, 5008 (2000).
6. S. C. Müller, S. Kai, and J. Ross, Science SCIEAS 0036-8075 10.1126/science.216.4546.635 216, 635 (1982).
7. S. Thomas, I. Lagzi, F. Molnár, Jr., and Z. Rácz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.110.078303 110, 078303 (2013).
8. S. Thomas, F. Molnár, Jr., Z. Rácz, and I. Lagzi, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/j.cplett.2013.05.031 577, 38 (2013).
9. J. W. Cahn and J. E. Hilliard, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1744102 28, 258 (1958);
10. J. W. Cahn, Acta Metall. AMETAR 0001-6160 10.1016/0001-6160(61)90182-1 9, 795 (1961).
11. D. S. Chernavskii, A. A. Polezhaev, and S. C. Müller, Physica D PDNPDT 0167-2789 10.1016/0167-2789(91)90115-P 54, 160 (1991).
12. A. A. Polezhaev and S. C. Müller, Chaos CHAOEH 1054-1500 10.1063/1.166040 4, 631 (1994).
13. W. van Saarloos, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2003.08. 001 386, 29 (2003).
14. H. K. Henisch, Periodic Precipitation (Pergamon, Oxford, 1991).
15. R. E. Liesegang, Naturwiss. Wochenschr. 11, 353 (1896).
16. S. C. Müller and J. Ross, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp030364o 107, 7997 (2003).
17. R. Matalon and A. Packter, J. Colloid Sci. JCSCA7 0095-8522 10.1016/0095-8522(55)90076-3 10, 46 (1955);
18. A. Packter, Kolloid Z. CPMSB6 0303-402X 10.1007/BF01512545 142, 109 (1955).
19. T. Antal, M. Droz, J. Magnin, Z. Rácz, and M. Zrinyi, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.477609 109, 9479 (1998).
20. M. Droz, J. Magnin, and M. Zrinyi, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.478927 110, 9618 (1999).
21. Z. Rácz, Physica A PHYADX 0378-4371 10.1016/S0378-4371(99)00432-X 274, 50 (1999).
22. P. B. Mathur and S. Ghosh, Kolloid Z. 10.1007/BF01520193 159, 143 (1958).
23. T. Karam and H. El-Rassy, and R. Sultan, J. Phys. Chem. A JPCAFH 1089-5639 10.1021/jp200619g 115, 2994 (2011).
24. A. Volford, F. Izsák, M. Ripszám, and I. Lagzi, Langmuir LANGD5 0743-7463 10.1021/la0623432 23, 961 (2007).
25. F. Molnár, F. Izsák, and I. Lagzi, Phys. Chem. Chem. Phys. PPCPFQ 1463-9076 10.1039/b715775d 10, 2368 (2008).
26. S. K. Smoukov, I. Lagzi, and B. A. Grzybowski, J. Phys. Chem. Lett. 1948-7185 10.1021/jz101679t 2, 345 (2011).
27. I. Lagzi, Langmuir LANGD5 0743-7463 10.1021/la2049025 28, 3350 (2012).
28. T. Antal, M. Droz, J. Magnin, and Z. Rácz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.2880 83, 2880 (1999).
29. T. Antal, I. Bena, M. Droz, K. Martens, and Z. Rácz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.046203 76, 046203 (2007).
30. I. Bena, M. Droz, I. Lagzi, K. Martens, Z. Rácz, and A. Volford, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.075701 101, 075701 (2008).
31. The Cahn-Hilliard equation with additive conserved noise is the much studied model B of critical dynamics [P. C. Hohenberg and B. I. Halperin, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.49.435 49, 435 (1977)].
32. F. Liu and N. Goldenfeld, Phys. Rev. A 1050-2947 10.1103/PhysRevA.39.4805 39, 4805 (1989).
33. A nice application of the d = 1 results to metallic nanowires can be found in J. Bürki, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.76.026317 76, 026317 (2007).
34. A. Krekhov, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.035302 79, 035302 (R) (2009).
35. E. M. Foard and A. J. Wagner, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.79.056710 79, 056710 (2009).
36. E. M. Foard and A. J. Wagner, Commun. Comput. Phys. 10.4208/cicp.101109. 020910s 9, 1081 (2011).
37. M. H. Köpf, S. V. Gurevich, R. Friedrich, and U. Thiele, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/14/2/023016 14, 023016 (2012).