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4
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79959723747
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The discussion is simplified. Strictly speaking, it is not the particle diffusion which sets the dynamical length scale but the diffusion of the transverse momentum (Ref.).
-
The discussion is simplified. Strictly speaking, it is not the particle diffusion which sets the dynamical length scale but the diffusion of the transverse momentum (Ref.).
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-
-
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5
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79959703967
-
-
All prefactors are omitted for simplicity. Especially, we do not distinguish between the self-diffusion of the test particle and the collective diffusion of the field which may be characterized by rather different diffusion constants.
-
All prefactors are omitted for simplicity. Especially, we do not distinguish between the self-diffusion of the test particle and the collective diffusion of the field which may be characterized by rather different diffusion constants.
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n stands for the bond vector connecting two adjacent monomers n and n 1 (Ref.).
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That this factor arises may be seen from the large-time limit where the polymer behave as effective colloids repelling each other with a penalty U(N) ≈ (N)
-
That this factor arises may be seen from the large-time limit where the polymer behave as effective colloids repelling each other with a penalty U(N) ≈ (N).
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34
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79959696608
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We have also preformed BFM simulations of polymer melts confined to effectively 2D thin slits and effectively 1D capillaries. In agreement with Eq., these simulations show that ≈ 1 for slits and ≈ 34 for capillaries.
-
We have also preformed BFM simulations of polymer melts confined to effectively 2D thin slits and effectively 1D capillaries. In agreement with Eq., these simulations show that ≈ 1 for slits and ≈ 34 for capillaries.
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79959755666
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The locality of the correlations described by Eq. or Eq. does not imply that the displacements of subchains around the reference subchain are (r)-correlated.
-
The locality of the correlations described by Eq. or Eq. does not imply that the displacements of subchains around the reference subchain are (r)-correlated.
-
-
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38
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-
79959687201
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Strictly speaking, it is not the dipole field associated with the density of the subchain center-of-masses, but to their chemical potential.
-
Strictly speaking, it is not the dipole field associated with the density of the subchain center-of-masses, but to their chemical potential.
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39
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79959689396
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-
N holds as long as a large friction constant is used for the Langevin thermostat (Ref.). Much stronger and non-local dynamical correlations are revealed, however, for → 0. These numerical results will be discussed elsewhere together with a broader theoretical analysis which contains the mechanism presented in this paper as a special limit.
-
N holds as long as a large friction constant is used for the Langevin thermostat (Ref.). Much stronger and non-local dynamical correlations are revealed, however, for → 0. These numerical results will be discussed elsewhere together with a broader theoretical analysis which contains the mechanism presented in this paper as a special limit.
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