Glenn H. Fredrickson
- Published in print:
- 2005
- Published Online:
- September 2007
- ISBN:
- 9780198567295
- eISBN:
- 9780191717956
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198567295.003.0004
- Subject:
- Physics, Condensed Matter Physics / Materials
This chapter discusses methods for converting the many body problem in interacting polymer fluids to a statistical field theory. Auxiliary field transforms are introduced, that decouple interactions ...
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This chapter discusses methods for converting the many body problem in interacting polymer fluids to a statistical field theory. Auxiliary field transforms are introduced, that decouple interactions among polymer species and reduce the problem to that of individual polymers interacting with one or more fluctuating fields — the subject of Chapter 3. Examples of models for a variety of systems are enumerated, including polymer solutions, blends, block and graft copolymers, polyelectrolytes, liquid crystalline polymers, and polymer brushes.Less
This chapter discusses methods for converting the many body problem in interacting polymer fluids to a statistical field theory. Auxiliary field transforms are introduced, that decouple interactions among polymer species and reduce the problem to that of individual polymers interacting with one or more fluctuating fields — the subject of Chapter 3. Examples of models for a variety of systems are enumerated, including polymer solutions, blends, block and graft copolymers, polyelectrolytes, liquid crystalline polymers, and polymer brushes.
Masao Doi
- Published in print:
- 2013
- Published Online:
- December 2013
- ISBN:
- 9780199652952
- eISBN:
- 9780191774942
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199652952.003.0002
- Subject:
- Physics, Soft Matter / Biological Physics, Condensed Matter Physics / Materials
Soft matter solutions are made of large solute dissolved in small solvent. The contrast in the size of solute and solvent gives special features to soft matter solutions. This chapter discusses these ...
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Soft matter solutions are made of large solute dissolved in small solvent. The contrast in the size of solute and solvent gives special features to soft matter solutions. This chapter discusses these special features from the general solution theory. It first explains general solution theory for incompressible solutions (an assumption generally made for soft matter) and then considers the relation between free energy of mixing, osmotic pressure, and chemical potentials, followed by a discussion of the conditions for having uniform solutions or phase separated solutions. A model free energy is derived for the lattice model of solutions. Next, two typical soft matter solutions – the polymer solutions and colloidal solutions – are explained. The effect of size difference on osmotic pressure and phase diagrams, and the reason why inter-surface potential is important in colloidal solutions are discussed.Less
Soft matter solutions are made of large solute dissolved in small solvent. The contrast in the size of solute and solvent gives special features to soft matter solutions. This chapter discusses these special features from the general solution theory. It first explains general solution theory for incompressible solutions (an assumption generally made for soft matter) and then considers the relation between free energy of mixing, osmotic pressure, and chemical potentials, followed by a discussion of the conditions for having uniform solutions or phase separated solutions. A model free energy is derived for the lattice model of solutions. Next, two typical soft matter solutions – the polymer solutions and colloidal solutions – are explained. The effect of size difference on osmotic pressure and phase diagrams, and the reason why inter-surface potential is important in colloidal solutions are discussed.
