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Percolation in Two‐Dimensional Copolymer Systems
Author(s) -
Polanowski Piotr,
Wawrzyńska Edyta,
Sikorski Andrzej
Publication year - 2013
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/mats.201200086
Subject(s) - copolymer , monte carlo method , percolation (cognitive psychology) , percolation threshold , materials science , excluded volume , chain (unit) , statistical physics , lattice (music) , polymer , polymer chemistry , thermodynamics , physics , mathematics , statistics , composite material , quantum mechanics , astronomy , neuroscience , acoustics , biology , electrical resistivity and conductivity
The aim of the study is the investigation of the percolation phenomena in some model copolymer systems. Diblock, triblock, random copolymers, and a blend of homopolymers are studied. For this purpose, we developed an idealized model of polymeric systems. The positions of polymer segments are restricted to vertices of a simple cubic lattice. The chains are at good solvent conditions – the excluded volume is the only interaction between the segments of the chain. The properties of the model chains are determined by means of Monte Carlo simulations with a sampling algorithm based on chain's local changes of conformation. The differences and similarities in the percolation behavior are shown and discussed. The percolation threshold is found to be very weakly dependent on the chain length, however, it appears that the main factor that influenced the percolation threshold is the screening effect of other parts of chains.