Abstract
We study the conformational properties of complex polymer macromolecules, consisting in general of n subsequently connected chains (blocks) of different lengths and distinct chemical structure. Depending on the solvent conditions, the inter- or intra-chain interactions of some blocks may vanish, causing rich conformational behavior. Our main attention is focused on the universal conformational properties of such molecules. Applying the direct polymer renormalization group approach, we derive the analytical expressions for the scaling exponent , governing the number of possible conformations of n-block copolymer, and analyze the effective linear size measures of individual blocks. In particular, the degree of extension of the block sizes as functions of n and position of blocks in sequence is quantitatively estimated. The numerical simulations of the simplest n = 2-block copolymer chain on a cubic lattice are also performed to give an illustration of the conformational behavior of such molecules.
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