Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2002-05-12
Physics
Condensed Matter
Soft Condensed Matter
15 pages(pdf), to be submitted to Macromolecules or J. Chem. Phys
Scientific paper
10.1021/ma020792c
We use experimental and simulation data from the literature to infer five characteristic lengths, denoted $\xi_s$, $\xi_f$, $\xi_\Pi$, $\xi_\phi$, and $\xi_D$ of a semidilute polymer solution. The first two of these are defined in terms of scattering from the solution, the third is defined in terms of osmotic pressure, the fourth by the spatial monomer concentration profile, and the last by co-operative diffusion. In a given solution the ratios of any of these five lengths are expected to be universal constants. Knowing these constants thus allows one to use one measured property of a solution as a means of inferring others. We calculate these ratios and estimate their uncertainties for solutions in theta as well as good-solvent conditions. The analysis is strengthened by use of scattering properties of isolated polymers inferred from computer simulations.
Huang Jung-Ren
Witten Thomas A.
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