Journal
SOFT MATTER
Volume 11, Issue 29, Pages 5828-5838Publisher
ROYAL SOC CHEMISTRY
DOI: 10.1039/c5sm00559k
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Funding
- Portuguese Foundation for Science and Tecnhology [EXCL/FIS-NAN/0083/2012, UID/FIS/00618/2013]
- Direccion General de Investigacion Cientfica y Tecnica [FIS2013-47350-C5-4-R]
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We generalize Wertheim's first order perturbation theory to account for the effect in the thermodynamics of the self-assembly of rings characterized by two energy scales. The theory is applied to a lattice model of patchy particles and tested against Monte Carlo simulations on a fcc lattice. These particles have 2 patches of type A and 10 patches of type B, which may form bonds AA or AB that decrease the energy by epsilon(AA) and by epsilon(AB) = r epsilon(AA), respectively. The angle theta between the 2 A-patches on each particle is fixed at 601, 90 degrees or 120 degrees. For values of r below 1/2 and above a threshold r(th)(theta) the models exhibit a phase diagram with two critical points. Both theory and simulation predict that rth increases when theta decreases. We show that the mechanism that prevents phase separation for models with decreasing values of theta is related to the formation of loops containing AB bonds. Moreover, we show that by including the free energy of B-rings ( loops containing one AB bond), the theory describes the trends observed in the simulation results, but that for the lowest values of theta, the theoretical description deteriorates due to the increasing number of loops containing more than one AB bond.
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