Fluctuations in symmetric diblock copolymers: Testing theories old and new

Computer simulations are used to study composition fluctuations in disordered diblock copolymer melts over a range of values of the chain length N, and test several theories for the structure factor S(q). Specifically, we test the random-phase approximation (RPA), which is based on a self-consistent field treatment of fluctuations, the Fredrickson-Helfand theory, which was designed to describe fluctuations near the order-disorder transition, and the relatively new renormalized one-loop (ROL) theory. The results confirm claims that the RPA is exact in the limit N→ and that the ROL theory yields the dominant corrections to the RPA within a systematic expansion in powers of N ^-1 ^/2, and show that the ROL theory is much more accurate than either older theory.