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1
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85036379231
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M. Doi and S.F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1986)
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M. Doi and S.F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, Oxford, 1986).
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2
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85036318739
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R.B. Bird, C.F. Curtiss, R.C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids: Vol. 2 Kinetic Theory (Wiley, New York, 1987)
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R.B. Bird, C.F. Curtiss, R.C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids: Vol. 2 Kinetic Theory (Wiley, New York, 1987).
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3
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85036262583
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R.G. Larson, The Structure and Rheology of Complex Fluids (Oxford University Press, Oxford, 1999)
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R.G. Larson, The Structure and Rheology of Complex Fluids (Oxford University Press, Oxford, 1999).
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14
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85036158207
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ScienceD.E. Smith and S. Chu, 281, 5381 (1998)
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(1998)
, vol.281
, pp. 5381
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Smith, D.E.1
Chu, S.2
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17
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0035272745
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J.S. Hur, E.S.G. Shaqfeh, H.P. Babcock, D.E. Smith, and S. Chu, J. Rheol. 45, 421 (2001).
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(2001)
J. Rheol.
, vol.45
, pp. 421
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Hur, J.S.1
Shaqfeh, E.S.G.2
Babcock, H.P.3
Smith, D.E.4
Chu, S.5
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23
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85036308153
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J. Chem. Phys.U.S. Agarwal3, 397 (2000
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(2000)
, vol.3
, pp. 397
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Agarwal, U.S.1
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26
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0034508074
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J. Chem. Phys.A. Dua and B.J. Cherayil, 113, 10776 (2000);
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(2000)
, vol.113
, pp. 10776
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Dua, A.1
Cherayil, B.J.2
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32
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85036393686
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C. W. Gardiner, Handbook of Stochastic Methods (Springer, Berlin, 1985)
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C. W. Gardiner, Handbook of Stochastic Methods (Springer, Berlin, 1985).
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33
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85036421636
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F. Reif, Fundamentals of Statistical and Thermal Physics (McGraw Hill, New York, 1965)
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F. Reif, Fundamentals of Statistical and Thermal Physics (McGraw Hill, New York, 1965).
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34
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85036260870
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(Formula presented) is defined as (Formula presented) where l is the Kuhn length, (Formula presented) is a dimensionless strain/shear rate, D is the diffusivity and thus (Formula presented) is a ratio of diffusion time scale and characteristic convective time scale
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(Formula presented) is defined as (Formula presented) where l is the Kuhn length, (Formula presented) is a dimensionless strain/shear rate, D is the diffusivity and thus (Formula presented) is a ratio of diffusion time scale and characteristic convective time scale.
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35
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85036211491
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(Formula presented) was determined by fitting the remaining 30% of the average molecular extension (Formula presented)] of 400–2000 initially stretched chains to a single exponential function (Formula presented). The longest relaxation time calculated in this manner is in quantitative agreement with those calculated from either normal stress or birefrigence decay
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(Formula presented) was determined by fitting the remaining 30% of the average molecular extension (Formula presented)] of 400–2000 initially stretched chains to a single exponential function (Formula presented). The longest relaxation time calculated in this manner is in quantitative agreement with those calculated from either normal stress or birefrigence decay.
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36
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85036272433
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For the Kramers’ chain simulation, we use 150 bead chains and for the worm-like and Rouse chain simulation we use 15 spring chains. The chains were equilibriated for 20 times each longest relaxation time (Formula presented) before they were put in flow. The steady simulaions were run upto (Formula presented) time steps using a single chain and the transient runs were averaged over 500-800 chains at each time step
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For the Kramers’ chain simulation, we use 150 bead chains and for the worm-like and Rouse chain simulation we use 15 spring chains. The chains were equilibriated for 20 times each longest relaxation time (Formula presented) before they were put in flow. The steady simulaions were run upto (Formula presented) time steps using a single chain and the transient runs were averaged over 500-800 chains at each time step.
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39
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85036144481
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(Formula presented) stands for 50.05% straining and 49.95% vorticity. For shear flow, there’s equal contribution from straining and vorticity. The angle between the principal axes can be defined as (Formula presented) for flows that have larger contribution from straining than vorticity and is only (Formula presented) and (Formula presented) for the (Formula presented) (Formula presented) flows respectively
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(Formula presented) stands for 50.05% straining and 49.95% vorticity. For shear flow, there’s equal contribution from straining and vorticity. The angle between the principal axes can be defined as (Formula presented) for flows that have larger contribution from straining than vorticity and is only (Formula presented) and (Formula presented) for the (Formula presented) (Formula presented) flows respectively.
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43
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85036341789
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H.P. Babcock et al. (unpublished)
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H.P. Babcock et al. (unpublished).
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44
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85036295508
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A similar overlap of birefringence data of a polymer solution at various (Formula presented) was reported by Fuller et al. 9. We have also calculated the steady birefringence of (Formula presented)-DNA molecules using Kramers’ chains and have found a universal curve for various (Formula presented) over a range of (Formula presented) suggesting that birefringence reflects the sharp coil-stretch transition of the molecule
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A similar overlap of birefringence data of a polymer solution at various (Formula presented) was reported by Fuller et al. 9. We have also calculated the steady birefringence of (Formula presented)-DNA molecules using Kramers’ chains and have found a universal curve for various (Formula presented) over a range of (Formula presented) suggesting that birefringence reflects the sharp coil-stretch transition of the molecule.
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45
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85036405206
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J.S. Hur, Ph.D. thesis, Stanford University, 2001
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J.S. Hur, Ph.D. thesis, Stanford University, 2001.
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