Monomer density profiles for polymer chains in confined geometries: massive field theory approach.
Taking into account the well known correspondence between the field theoretical ϕ(4) O(n)-vector model in the limit n → 0 and the behavior of long flexible polymer chains in a good solvent, the universal density-force relation is analyzed and the corresponding universal amplitude ratio B(real) is obtained using the massive field theory approach in fixed space dimensions d < 4. The monomer density profiles of ideal chains and real polymer chains with excluded volume interaction in a good solvent between two parallel repulsive walls, one repulsive and one inert wall, are obtained in the framework of the massive field theory approach up to one-loop order. Besides, the monomer density profiles for the dilute polymer solution confined in semi-infinite space containing mesoscopic spherical particle of big radius are calculated. The obtained results are in qualitative agreement with previous theoretical investigations and with the results of Monte Carlo simulations.
Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, 79011 Lviv, Ukraine. z_usat@th.if.uj.edu.pl
Z
Z
Usatenko
D008280:Magnetics; D056004:Molecular Dynamics Simulation; D009010:Monte Carlo Method; D010316:Particle Size; D011108:Polymers / Q000737:chemistry*; D012996:Solutions; D013696:Temperature
D011108:Polymers; D012996:Solutions