6533b851fe1ef96bd12a965a

RESEARCH PRODUCT

Scattering from concentration fluctuations in polymer blends: A monte carlo investigation

Kurt BinderA. Sariban

subject

PhysicsSpinodalPolymers and PlasticsCondensed matter physicsScatteringMonte Carlo methodExtrapolationNeutron scatteringLight scatteringCondensed Matter::Soft Condensed MatterColloid and Surface ChemistryMaterials ChemistryPhysical and Theoretical ChemistryStructure factorRandom phase approximation

description

The collective scattering function Scoll( $$\vec q$$ ), which describes light (neutron-, x-ray) scattering under wavevector $$\vec q$$ , is obtained from Monte Carlo simulations for a symmetrical polymer mixture. The polymers are modelled by self-avoiding walks ofN A=NB=N steps on a simple cubic lattice, where a fractionφ V of sites is left vacant, and an attractive energye occurs if two neighboring sites are taken by the same kind of monomer. Spinodal curves are estimated from linear extrapolation of S coll −1 (0) vs.e/k B T, whereT is the temperature. Also the single chain structure factor is obtained and the de Gennes random phase approximation (RPA) can thus be tested. Unexpectedly, strong deviations are found if one species is very dilute. The estimation of an effective Flory-Hugginsχ-parameter from scattering data is also discussed.

https://doi.org/10.1007/bf01416052