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Additional resources for Advanced Computer Simulation Approaches For Soft Matter Sciences
Hence, the Fourier transform of KAA can be identiﬁed with the single chain structure factor: KAA (r, r ) =– 1 δφA∗ (r) = φ¯ A δWA (r ) V KAA (q) = φ¯ A gA (q) , gA (q) eiq(r–r ) (89) q=0 ˜ Eq. 84, one oband a similar expression holds KBB . Using the deﬁnition of C, tains 1 1 1 1 1 ˜ –1 = 1 + + C = . 4 KAA KBB 4 φ¯ A gA φ¯ B gB Inserting this expression into Eq. 86, we can also obtain an explicit expression for the EP Hamiltonian H [W] ≡ G[U ∗ , W] of binary blends within the RPA: HRPA [W] – H¯ 4φ¯ A gA (q)φ¯ B gB (q) 2 1 – |Wq |2 √ (90) =+ ¯ ¯ d ¯ φ 8 χN g (q) + φ g (q) A A B B N k T(V/R ) B e q=0 Combined with Eq.
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17 Relaxation rates obtained through Monte Carlo simulations and EPD calculations with random ﬂuctuations for different time intervals. Fluctuations lead in both methods to an earlier change in the exponential behavior of the growing modes. From  The inﬂuence of the chain connectivity on the dynamics of the composition ﬂuctuations does not only inﬂuence two-point correlation functions like the global structure factor but it is also visible in the time evolution of composition proﬁles in the vicinity of a surface .