Single polymer dynamics in elongational flow and the confluent Heun equation

Journal of Physics A: Mathematical and General

Volumn 39, Issue 34, 2006, Pages 10691-10701

  Vincenzi, D ^a,b   Bodenschatz, E ^a,b  

^a MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

^b Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747160982     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/34/007     Document Type: Article

References (47)

1. Babcock H P, Teixeira R E, Hur J S, Shaqfeh E S and Chu S 2003 Macromolecules 36 4544-8
2. Bird R B, Hassager O, Armstrong R C and Curtiss C F 1987 Dynamics of Polymeric Liquids, Fluid Mechanics vol 2 (New York: Wiley)
3. Brochard-Wyart F 1995 Europhys. Lett. 30 387-92
4. Celani A, Musacchio S and Vincenzi D 2005a J. Stat. Phys. 118 531-54
5. Celani A, Puliafito A and Turitsyn K 2005b Europhys. Lett. 70 464-70
6. Celani A, Puliafito A and Vincenzi D 2006 Phys. Rev. Lett. (submitted)
7. Davoudi J and Schumacher J 2006 Phys. Fluids 18 025103
8. Decarreau A, Dumont-Lepage M-Cl, Maroni P, Robert A and Ronveaux A 1978a Ann. Soc. Sci. Brux. 92 53-78
9. Decarreau A, Maroni P and Robert A 1978b Ann. Soc. Sci. Brux. 92 151-89
10. Erdélyi A 1942 Duke Math. J. 9 48-58
11. Erdélyi A 1944 Q. J. Math. 15 62-9
12. Erdélyi, Magnus W, Oberhettinger F and Tricomi F G 1953 Higher Transcendental Functions (New York: McGraw-Hill)
13. Gautschi W 1967 SIAM Rev. 9 24-82
14. de Gennes P G 1974 J. Chem. Phys. 60 5030-42
15. Gerashchenko S and Steinberg V 2006 Phys. Rev. Lett. 96 038304
16. Hatfield J W and Quake S R 1999 Phys. Rev. Lett. 82 3548-51
17. Hernndez Cifre J G and García de la Torre J 1998 J. Non-Cryst. Solids 235-237 717-22
18. Hernndez Cifre J G and García de la Torre J 1999 J. Rheol. 43 339-58
19. Hur J S, Shaqfeh E S, Babcock H P and Chu S 2002 Phys. Rev. E 66 011915
20. Jaffé G 1933 Z. Phys. 87 535-44
21. Larson R G, Perkins T T, Smith D E and Chu S 1997 Phys. Rev. E 55 1794-7
22. Larson R G 2005 J. Rheol. 49 1-70
23. Leaver E W 1985 Proc. R. Soc. A 402 285-98
24. Manneville S, Cluzel Ph, Viovy J-L, Chatenay D and Caron F 1996 Europhys. Lett. 36 413-8
25. Martins Afonso M and Vincenzi D 2005 J. Fluid Mech. 540 99-108
26. Morse P M and Feshbach H 1953 Methods of Theoretical Physics (New York: McGraw-Hill)
27. Perkins T T, Quake S R, Smith D E and Chu S 1994 Science 264 822
28. Perkins T T, Smith D E and Chu S 1997 Science 276 2016-21
29. Puliafito A and Turitsyn K 2005 Physica D 211 9-22
30. Quake S R, Babcock H and Chu S 1997 Nature 388 151-4
31. Rouse P E 1953 J. Chem. Phys. 21 1272-80
32. Rzehak R and Zimmermann W 2002 Europhys. Lett. 59 779-85
33. Schenzle A and Brand H 1979 Phys. Rev. A 20 1628-47
34. Schroeder C M, Babcock H P, Shaqfeh E S G and Chu S 2003 Science 301 1515-9
35. Schroeder C M, Shaqfeh E S G and Chu S 2004 Macromolecules 37 9242-56
36. Shaqfeh E S G 2005 J. Non-Newtonian Fluid Mech. 130 1-28
37. Slavyanov S Yu 1995 Confluent Heun Equation, Heun's Differential Equations ed A Ronveaux (New York: Oxford University Press)
38. Slavyanov S Yu and Lay W 2000 Special Functions. A Unified Theory Based on Singularities (New York: Oxford University Press)
39. Smith D E, Babcock H P and Chu S 1999 Science 283 1724-7
40. Smith D E and Chu S 1998 Science 281 1335-40
41. Sreenivasan K R and White C M 2000 J. Fluid Mech. 409 149-64
42. Stratonovich R L 1963 Topics in the Theory of Random Noise (New York: Gordon and Breach)
43. Svartholm N 1939 Math. Ann. 116 413-21
44. Szegö G 1939 Orthogonal Polynomials (Providence, RI: American Mathematical Society)
45. Wiest J L, Wedgewood L and Bird R B 1989 J. Chem. Phys. 90 587-94
46. Wimp J 1984 Computation with Recurrence Relations (Boston, MA: Pitman)
47. Zimm B H 1956 J. Chem. Phys. 24 269-78