We present here computational work on the center-of-mass displacements in thin polymer films of finite width without topological constraints and without momentum conservation obtained using a well-known lattice Monte Carlo algorithm with chain lengths ranging up to N = 8192. Computing directly the center-of-mass displacement correlation function CN(t) allows to make manifest the existence of scale-free colored forces acting on a reference chain. As suggested by the scaling arguments put forward in a recent work on three-dimensional melts, we obtain a negative algebraic decay CN(t) ∼ −1/(N t) for times t ≪ TN with TN being the chain relaxation time. This implies a logarithmic correction to the related center-of-mass mean square-displacement hN(t) as has been checked directly.
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14 November 2011
Brief Report|
November 14 2011
Note: Scale-free center-of-mass displacement correlations in polymer films without topological constraints and momentum conservation
J. P. Wittmer;
J. P. Wittmer
a)
Institut Charles Sadron,
Université de Strasbourg
, CNRS, 23 rue du Loess, 67034 Strasbourg Cedex, France
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N. Schulmann;
N. Schulmann
Institut Charles Sadron,
Université de Strasbourg
, CNRS, 23 rue du Loess, 67034 Strasbourg Cedex, France
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P. Polińska;
P. Polińska
Institut Charles Sadron,
Université de Strasbourg
, CNRS, 23 rue du Loess, 67034 Strasbourg Cedex, France
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J. Baschnagel
J. Baschnagel
Institut Charles Sadron,
Université de Strasbourg
, CNRS, 23 rue du Loess, 67034 Strasbourg Cedex, France
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a)
Electronic mail: joachim.wittmer@ics-cnrs.unistra.fr.
J. Chem. Phys. 135, 186101 (2011)
Article history
Received:
September 15 2011
Accepted:
October 27 2011
Citation
J. P. Wittmer, N. Schulmann, P. Polińska, J. Baschnagel; Note: Scale-free center-of-mass displacement correlations in polymer films without topological constraints and momentum conservation. J. Chem. Phys. 14 November 2011; 135 (18): 186101. https://doi.org/10.1063/1.3662132
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