## Molecular basis of polymer networks: proceedings of the 5th IFF-Ill Workshop, Jülich, Fed. Rep. of Germany, October 5-7, 1988The contributors to this volume appraise our knowledge of the molecular physics of polymer networks and pinpoint areas of research where significant advances can be made using new theories and techniques. They describe both theoretical approaches, based on new theoretical concepts and original network models, and recent experimental investigations using SANS, 2H NMR or QELS. These new techniques provide precise information about network behaviour at the molecular level. Reported results of the application of these and more traditional techniques include the microscopic conformation and properties of permanent networks or gels formed by specific interchain interactions, the behaviour of elastomer liquid crystals, and the static and dynamic properties of star-branched polymers. |

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Page 18

The power law correction in (l) is universal with an

only on the topology of Q, on the space dimension d, and on the universality

class of the solvent : a good solvent or a 0-solvent, or even,in two dimensions, a

melt.

The power law correction in (l) is universal with an

**exponent**"ys which dependsonly on the topology of Q, on the space dimension d, and on the universality

class of the solvent : a good solvent or a 0-solvent, or even,in two dimensions, a

melt.

Page 20

In particular, the configuration

+ 9L(3-L))/64 (13) It is interesting to note that the analytic continuation to L — ▻ 0

of (10) gives to all orders in e : 7, - 1 = 0, while (13) gives in 22? : 70 - 1 = 1/16.

In particular, the configuration

**exponents**of star polymers read in 2Z?l1l It, -l = [4+ 9L(3-L))/64 (13) It is interesting to note that the analytic continuation to L — ▻ 0

of (10) gives to all orders in e : 7, - 1 = 0, while (13) gives in 22? : 70 - 1 = 1/16.

Page 23

The associated probability scales likel2,5! PL (z) ~z", z — > 0 where the proximal

Special Transition A similar scaling theory exists for the special transition, where

...

The associated probability scales likel2,5! PL (z) ~z", z — > 0 where the proximal

**exponent**reads ?t =l(i-^)+0(<-2), d = 4-e (24) and fc, = (3L + 2)2 /48, d = 2 . (25)Special Transition A similar scaling theory exists for the special transition, where

...

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### Contents

Remarks | 2 |

Statistical Mechanics of dDimensional Polymer Networks and Exact | 17 |

FluctuationInduced Deformation Dependence of the FloryHuggins | 35 |

Copyright | |

12 other sections not shown

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anisotropy Basis of Polymer Bastide behaviour blends calculated carrageenan chain segments Chem chemical chemical potential configuration conformation constant constraints corresponding crosslinking curves deformation density dependence deswelling deuterated deviatoric distribution dynamics Editors effect elastic free energy elementary strand elongation entanglements entropy equation equilibrium excluded volume experimental experiments exponent factor Flory Flory-Huggins fluctuations fractal dimension free chains free energy Gaussian gelation Gennes increases interaction parameter isotropic labelled paths length linear Macromolecules macroscopic measurements melt modulus Molecular Basis molecular weight monomers network chains neutron scattering observed obtained P.G. de Gennes PDMS chains phantom network Phys Picot polyelectrolyte Polymer Networks polymeric fractals polystyrene Proceedings in Physics properties radius of gyration ratio reptation rod network Rouse model rubber elasticity sample scaling solution solvent Springer Proceedings star molecules star polymers structure surface swelling swollen temperature theory topological uniaxial values vector viscoelastic viscosity volume fraction