Asymptotic analysis of mode-coupling theory of active nonlinear microrheology

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

Volumn 86, Issue 1, 2012, Pages

  Gnann, M V ^a,b   Voigtmann, Th ^b,c  

^a MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES   (Germany)

^b UNIVERSITY OF KONSTANZ   (Germany)

^c GERMAN AEROSPACE CENTER DLR   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC EXPRESSIONS; DECAY LAW; DELOCALIZATION TRANSITION; EXTERNAL FORCE; HOST MEDIUMS; MICRORHEOLOGY; MODE COUPLING THEORY; NONLINEAR FRICTION; POWER LAW VARIATION; SINGLE PROBE; STEADY-STATE VELOCITY; TIME-SCALES; TRANSIENT DENSITY; TRANSITION POINT;

ASYMPTOTIC ANALYSIS; CORRELATORS; GLASS TRANSITION;

PROBES;

EID: 84864443552     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.011406     Document Type: Article

References (35)

1. T. A. Waigh, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/68/3/R04 68, 685 (2005). (Pubitemid 40405950)
2. T. M. Squires, Langmuir LANGD5 0743-7463 10.1021/la7023692 24, 1147 (2008). (Pubitemid 351345833)
3. A. Erbe, M. Zientara, L. Baraban, C. Kreidler, and P. Leiderer, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/20/40/404215 20, 404215 (2008).
4. C. Wilhelm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101. 028101 101, 028101 (2008).
5. M. B. Hastings, C. J. Olson Reichhardt, and C. Reichhardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.098302 90, 098302 (2003).
6. P. Habdas, D. Schaar, A. C. Levitt, and E. R. Weeks, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10075-y 67, 477 (2004). (Pubitemid 39046983)
7. S. R. Williams and D. J. Evans, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.015701 96, 015701 (2006). (Pubitemid 43248367)
8. T. M. Squires and T. G. Mason, Annu. Rev. Fluid Mech. ARVFA3 0066-4189 10.1146/annurev-fluid-121108-145608 42, 413 (2010).
9. I. Gazuz, A. M. Puertas, Th. Voigtmann, and M. Fuchs, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.248302 102, 248302 (2009).
10. M. V. Gnann, I. Gazuz, A. M. Puertas, M. Fuchs, and Th. Voigtmann, Soft Matter 1744-683X 10.1039/c0sm00828a 7, 1390 (2011).
11. W. Götze and L. Sjögren, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01303763 65, 415 (1987).
12. M. Fuchs and M. E. Cates, Faraday Discuss. 1359-6640 10.1039/b205629a 123, 267 (2003).
13. W. Götze and L. L. Sjögren, J. Math. Anal. Appl. JMANAK 0022-247X 10.1006/jmaa.1995.1352 195, 230 (1995).
14. T. Franosch and Th. Voigtmann, J. Stat. Phys. JSTPBS 0022-4715 10.1023/A:1019991729106 109, 237 (2002). (Pubitemid 37141589)
15. W. Götze, Complex Dynamics of Glass-Forming Liquids (Oxford University Press, Oxford, UK, 2009).
16. M. Fuchs and M. E. Cates, J. Rheol. (NY) JORHD2 0148-6055 10.1122/1.3119084 53, 957 (2009).
17. D. Hajnal and M. Fuchs, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2008-10361-0 28, 125 (2009).
18. M. Krüger, F. Weysser, and M. Fuchs, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2011-11088-5 34, 88 (2011).
19. M. Fuchs and M. E. Cates, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.248304 89, 248304 (2002).
20. L. Sjögren, Phys. Rev. A 1050-2947 10.1103/PhysRevA.33.1254 33, 1254 (1986).
21. M. V. Gnann, Diploma thesis, Universität Konstanz (2009).
22. G. Nägele, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(95)00078-X 272, 215 (1996).
23. Th. Voigtmann, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/96/ 36006 96, 36006 (2011).
24. T. M. Squires and J. F. Brady, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1960607 17, 073101 (2005). (Pubitemid 41057208)
25. I. C. Carpen and J. F. Brady, J. Rheol. JORHD2 0148-6055 10.1122/1.2085174 49, 1483 (2005). (Pubitemid 44538289)
26. D. Widder, in The Laplace Transform, 8th ed. (Princeton University Press, Princeton, NJ, 1972), p. 406.
27. V. Arnol'd, in Catastrophe Theory, 3rd ed. (Springer, Berlin, 1992), p. 150.
28. W. Götze, in Liquids, Freezing and Glass Transition (Les Houches, Session LI), edited by, J. P. Hansen, D. Levesque, and, J. Zinn-Justin, (North-Holland, Amsterdam, 1991).
29. W. Götze, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/2/42/025 2, 8485 (1990).
30. M. Fuchs and M. R. Mayr, Phys. Rev. E 1539-3755 10.1103/PhysRevE.60.5742 60, 5742 (1999).
31. J. Brillo, A. I. Pommrich, and A. Meyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.165902 107, 165902 (2011).
32. Ch. J. Harrer, D. Winter, J. Horbach, M. Fuchs, and Th. Voigtmann, J. Phys.: Condens. Matter 24, 428429 (2012).
33. S. K. Schnyder, F. Höfling, T. Franosch, and Th. Voigtmann, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/23/23/234121 23, 234121 (2011).
34. A. S. Khair and J. F. Brady, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112006009608 557, 73 (2006). (Pubitemid 44069741)
35. D. Winter, J. Horbach, P. Virnau, and K. Binder, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.028303 108, 028303 (2012).