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11
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0025700396
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(a) A. M. Pedley, J. S. Higgins, D. G. Peiffer, and W. Burchard, Macromolecules 23, 1434 (1990);
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(1990)
Macromolecules
, vol.23
, pp. 1434
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Pedley, A.M.1
Higgins, J.S.2
Peiffer, D.G.3
Burchard, W.4
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12
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0025416669
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(b) A. M. Pedley, J. S. Higgins, D. G. Peiffer, and A. R. Rennie, ibid. 23, 2494 (1990).
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(1990)
Macromolecules
, vol.23
, pp. 2494
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Pedley, A.M.1
Higgins, J.S.2
Peiffer, D.G.3
Rennie, A.R.4
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20
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85033176312
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note
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1 values.
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25
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85033169796
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note
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3/2 in Eq. (20) ensures a consistent calculation of the second virial coefficient from the free energy of the "infinite cluster" and from the interaction free energy between two chains (Ref. 15).
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26
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85033175858
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note
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Neglecting cluster-cluster interactions does not amount to neglecting all polymer-polymer interactions. To some extent, these are implicitly taken into account by allowing for chain association. A similar view of real gas behavior has been around for some time: (Ref.25) the virial equation of state may be derived by considering the equilibria between single molecules and clusters, in an otherwise ideal gas mixture.
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28
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85033161047
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note
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This expression is exact in any dimensionality for a system of identical objects, as well as for a one-dimensional system of different objects with variable size and shape. It leads to the well-known entropy expression for an ideal mixture, which can be surprisingly accurate even for molecules of different sizes (Ref. 27).
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32
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85033181668
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note
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There is a subtle but important question concerning any sort of microphase separation: how large should a concentration inhomogeneity be, for it to be classifiable as a "phase"? In the present instance: how large should the chain length be, for the globular state to be classifiable as a microphase? A pragmatic answer could be that the two concepts (globule and microphase) go hand-in-hand; a short chain never undergoes a substantial reduction of its size, even at large undercoolings. In connection with this, we point out that the "universal" plots of Figs. 4-6 are truly N-independent only when N≫1; for short chains, there are important intramolecular "screened interactions" (Refs. 5 and 6) which resist collapse.
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36
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0000618056
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K. Yoshikawa, M. Takahashi, V. V. Vasilevskaya, and A. R. Khokhlov, Phys. Rev. Lett. 76, 3029 (1996).
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(1996)
Phys. Rev. Lett.
, vol.76
, pp. 3029
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Yoshikawa, K.1
Takahashi, M.2
Vasilevskaya, V.V.3
Khokhlov, A.R.4
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