Liquid Equilibrium States

  • Gert R. Strobl


After having considered the structural behavior of single chains we turn now to the collective properties of polymers in bulk phases and discuss in this chapter liquid states of order. Liquid polymers are in thermal equilibrium, so that statistical thermodynamics can be applied. At first view one might think that theoretical analysis presents a formidable problem since each polymer may interact with many other chains. This multitude of interactions of course can create a complex situation, however, cases also exist, where conditions allow for a facilitated treatment. Important representatives for simpler behavior are melts and liquid polymer mixtures, and the basic reason is easy to see: As here each monomer encounters, on average, the same surroundings, the chain as a whole experiences in summary a ‘mean field’, thus fulfilling the requirements for an application of a well established theoretical scheme, the ‘mean-field treatment’. We shall deal with this approach in the second part of this chapter, when discussing the properties of polymer mixtures.


Gibbs Free Energy Block Copolymer Spinodal Decomposition Virial Coefficient Liquid Equilibrium 
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Further Reading

Polymer solutions

  1. J. des Cloizeaux, G. Jannink: Polymers in Solution: Their Modelling and Structure, Oxford Science Publishers, 1990Google Scholar
  2. M. Doi, S.F. Edwards: The Theory of Polymer Dynamics, Clarendon Press, 1986Google Scholar
  3. A.Y. Grosberg, A.R. Khokhlov: Statistical Physics of Macromolecules, AIP Press, 1994Google Scholar

Polymer mixtures and block copolymers

  1. K. Binder: Spinodal Decomposition in P. Haasen (Ed.): Material Science and Technology Vol.5 Phase Transitions in Materials, VCH Publishers, 1991Google Scholar
  2. P.J. Flory: Principles of Polymer Chemistry, Cornell University Press, 1953Google Scholar
  3. P.-G. de Gennes: Scaling Concepts in Polymer Physics, Cornell University Press, 1979Google Scholar
  4. I. Goodman: Developments in Block Copolymers Vol.1, Applied Science Publishers, 1982Google Scholar
  5. I. Goodman: Developments in Block Copolymers Vol.2, Applied Science Publishers, 1985Google Scholar
  6. T. Hashimoto: Structure Formation in Polymer Systems by Spinodal Decomposition in R.M. Ottenbrite, L.A. Utracki, S. Inoue (Eds.): Current Topics in Polymer Science Vol.2, Hanser, 1987Google Scholar
  7. D.R. Paul, S. Newman (Eds.): Polymer Blends, Vols.1 and 2, Academic Press, 1978Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Gert R. Strobl
    • 1
  1. 1.Fakultät für PhysikAlbert-Ludwigs-UniversitätFreiburg im BreisgauGermany

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