Physical Properties of Polymeric GelsJ. P. Cohen Addad This book emphasizes the relationship between the microscopic structure of gels and their macroscopic behaviour. Deals with organic polymeric gels, focusing on experimental methods which have only recently been introduced to study both reversible and irreversible gels. It introduce the reader with to theory and practice of physics as applied to the study of characteristics of polymeric gels and offers several clearly described basic approaches to experimental investigations into gel properties. An outstanding resource on experimental advances and modern interpretations of polymeric gel properties written by prominent experts in the field. |
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Page 97
... mean field framework ( on a Bethe lattice ) . Thus the model is strongly dependent on computer simulation results provided by the Monte Carlo method . Table 1 gives a comparison of exponent values obtained in three - dimensional ...
... mean field framework ( on a Bethe lattice ) . Thus the model is strongly dependent on computer simulation results provided by the Monte Carlo method . Table 1 gives a comparison of exponent values obtained in three - dimensional ...
Page 99
... mean field for space dimensions larger than 6. In this sense , mean field corresponds to a particular case of the percolation model . Equation ( 29 ) , obtained from polymer physics concepts , is known in critical phenomena physics as ...
... mean field for space dimensions larger than 6. In this sense , mean field corresponds to a particular case of the percolation model . Equation ( 29 ) , obtained from polymer physics concepts , is known in critical phenomena physics as ...
Page 101
... mean field exponent values ( y = 1 , B = 1 , v = 1/2 ) leads to an estimation of the relative distance to the threshold & * above which fluctuations can be neglected and mean field becomes relevant : ɛ * = M ( d − 2 ) / ( d − 6 ) When ...
... mean field exponent values ( y = 1 , B = 1 , v = 1/2 ) leads to an estimation of the relative distance to the threshold & * above which fluctuations can be neglected and mean field becomes relevant : ɛ * = M ( d − 2 ) / ( d − 6 ) When ...
Contents
Semidilute Polymer Solutions | 1 |
Properties of Polyelectrolyte Gels | 19 |
NMR and Statistical Structures of Gels | 39 |
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Common terms and phrases
average Bastide behaviour Boué branched polymers Candau chain segments Chem chemical clusters Cohen Addad concentration fluctuations correlation length corresponding counterions crosslinking density Daoud deformation degree of swelling dependence dilute dynamics effect elastic elastic modulus excluded volume experimental exponent values Figure Flory Flory-Huggins theory fluctuations of polymer fractal dimension free energy frozen blobs function Gaussian Geissler Gennes heterogeneities idealized gels interactions larger Leibler length scales light scattering low q Macromolecules maximum swelling mean field measured mesh molecular weight molecules monomeric units monomers network chain network structure neutron scattering number of monomers observed obtained osmotic pressure PAAM parameter percolation Phys polyelectrolyte polymer chains polymer concentration polymer solutions polymeric polymeric gels polystyrene properties quenched fluctuations random relaxation sample scattering experiments scattering intensity semi-dilute solution shear modulus skeletal bonds solvent static stretching structure factor swelling degree swollen theory uniaxial vector volume fraction wave vector