Ergodicity-breaking and the unraveling dynamics of a polymer in linear and nonlinear extensional flows

Journal of Rheology

Volumn 51, Issue 3, 2007, Pages 561-574

  Beck, Victor A ^a   Shaqfeh, Eric S G ^b  

^a Stanford University   (United States)

^b STANFORD UNIVERSITY   (United States)

Author keywords

Configuration dependent drag; Extensional flow; Hysteresis; Polymer dynamics

Indexed keywords

ACTIVATION ENERGY; COMPUTER SIMULATION; HYDRODYNAMICS; HYSTERESIS; NONLINEAR ANALYSIS; POLYMERS;

CONFIGURATION DEPENDENT DRAG; ERGODICITY; EXTENSIONAL FLOW; POLYMER DYNAMICS;

FLOW OF FLUIDS;

EID: 34247895484     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.2714820     Document Type: Article

References (25)

1. Beck, V. A., and E. S. G. Shaqfeh, " Ergodicity breaking and conformational hysteresis in the dynamics of a polymer tethered at a surface stagnation point., " J. Chem. Phys. 124, 094902-1-16 (2006).
2. Bird, R. B., C. F. Curtiss, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, Vol. 2: Kinetic Theory, 2nd ed. (Wiley Interscience, New York, 1987).
3. Chandrasekhar, S., " Stochastic problems in astronomy and physics., " Rev. Mod. Phys. 15, 1-89 (1943).
4. Darinskii, A. A., A. V. Lyulin, and M. G. Saphiannikova, " Computer simulation of kinetics of coil-stretched chain transition in elongational flow., " Int. J. Polym. Mater. 22, 15-24 (1993).
5. Darinskii, A. A., and M. G. Saphiannikova, " Kinetics of polymer chains in elongational flow., " J. Non-Cryst. Solids 172, 932-934 (1994).
6. de Gennes, P.-G., " Coil-stretch transition of dilute flexible polymers under ultrahigh velocity gradients., " J. Chem. Phys. 60, 5030-5042 (1974).
7. Dittrich, P. S., and A. Manz, " Single-molecule fluorescence detection in microfluidic channels-the Holy Grail in μtAS ?, " Anal. Bioanal. Chem. 382, 1771-1782 (2005).
8. Ediger, M. D., " Supercooled liquids and glasses., " J. Phys. Chem. 100, 13200-13212 (1996).
9. Ermak, D. L., and J. A. McCammon, " Brownian dynamics with hydrodynamic interactions., " J. Chem. Phys. 69, 1352-1360 (1978).
10. Fan, X.-J., R. B. Bird, and M. Renardy, " Configuration-dependent friction coefficients and elastic dumbbell rheology., " J. Non-Newtonian Fluid Mech. 18, 255-272 (1985).
11. Gillespie, D. T., Markov Processes: An Introduction for Physical Scientists (Academic, Boston, 1991).
12. Hänggi, P., P. Talkner, and M. Borkovic, " Recation rate theory: Fifty years after Kramers., " Rev. Mod. Phys. 62, 251-342 (1990).
13. Hinch, E. J., " Mechanical models of dilute polymer solutions for strong flows with large polymer deformations., " in Polym̀res et Lubrification, CNRS No. 233 (Editions du CNRS, Paris, 1975), pp. 351-372.
14. Hinch, E. J., " Mechanical models of dilute polymer solutions in strong flows., " Phys. Fluids 20, s22-s30 (1977).
15. Hsieh, C.-C., and R. G. Larson, " Prediction of coil-stretch hysteresis for dilute polystyrene molecules in extensional flow., " J. Rheol. 49, 1081-1089 (2005).
16. Jendrejack, R. M., D. C. Schwartz, J. J. de Pablo, and M. D. Graham, " Shear-induced migration in flowing polymer solutions: Simulation of long-chain deoxyribose nucleic acid in microchannels., " J. Chem. Phys. 120, 2513-2529 (2004).
17. Larson, R. G., H. Hu, D. E. Smith, and S. Chu, " Brownian dynamics simulations of a DNA molecule in an extensional flow field., " J. Rheol. 43, 267-304 (1999).
18. Prabhakar, R., J. Ravi Prakash, and T. Sridhar, " A successive fine-graining scheme for predicting the rheological properties of dilute polymer solutions., " J. Rheol. 48, 1251-1278 (2004).
19. Reimann, P., G. J. Schmid, and P. Hängii, " Universal equivalence of mean first passage time and Kramers-rate., " Phys. Rev. E 60, R1-4 (1999).
20. Risken, H., The Fokker-Planck Equation (Springer, Berlin, 1984).
21. Schroeder, C. M., H. P. Babcock, E. S. G. Shaqfeh, and S. Chu, " Observation of polymer conformation hysteresis in extensional flow., " Science 301, 1515-1519 (2003).
22. Schroeder, C. M., E. S. G. Shaqfeh, and S. Chu, " Effect of hydrodynamic interactions on DNA dynamics in extensional flow: Simulation and single molecule experiment., " Macromolecules 37, 9242-9256 (2004).
23. Shaqfeh, E. S. G., " The dynamics of single-molecule DNA in flow., " J. Non-Newtonian Fluid Mech. 130, 1-28 (2005).
24. Tanner, R. I., " Stresses in dilute solutions of bead nonlinear-spring macromolecules. III: Friction coefficient varying with dumbbell extension., " Trans. Soc. Rheol. 19, 557-582 (1975).
25. Wiest, J. M., L. E. Wedgewood, and R. B. Bird, " On coil-stretch transitions in dilute polymer solutions., " J. Chem. Phys. 90, 587-594 (1989).