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(Color online) Effective potentials between bonded (right-hand scale, continuous line) and between nonbonded (left-hand scale, crosses) effective segments in units of , as computed by MC simulations of an SAW polymer, divided into two equal segments. is accurately fitted by the Gaussian [Eq. (1)] with and . is represented by the form [Eq. (2)] (dashed curve) with the harmonic tethering potential fitted by (dots).
(Color online) Intramolecular structure factor of a single SAW polymer vs on a log-log scale. Squares: MC data for an SAW polymer: closed circles and open circles: MC data for and segment representations, respectively. Full line: scaling regime , with ; dashed line: Debye structure factor for a Gaussian chain.
(Color online) Total (closed symbols) and intramolecular (open symbols) structure factors vs from MC simulations of (circles), (squares), and (triangles) segment representations of SAW polymers at (left frame) and 9.23 (right frame). The straight lines correspond to the scaling regime as in Fig. 2.
(Color online) Intermolecular structure factor from MC simulation of (circles), 10 (squares), and 20 (triangles) segment representations of SAW polymers at densities (closed symbols) and 9.23 (open symbols) vs . The dashed curves are predictions of the RPA expression [Eq. (5)], using the intramolecular form factor (for ). The RPA is seen to be accurate for , but to underestimate short-range correlations .
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