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Two-dimensional colloidal fluids exhibiting pattern formation

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posted on 06.01.2016, 11:53 by Blesson Chacko, Christopher Chalmers, Andrew ArcherAndrew Archer
Fluids with competing short range attraction and long range repulsive interactions between the particles can exhibit a variety of microphase separated structures. We develop a lattice-gas (generalised Ising) model and analyse the phase diagram using Monte Carlo computer simulations and also with density functional theory(DFT). The DFT predictions for the structures formed are in good agreement with the results from the simulations, which occur in the portion of the phase diagram where the theory predicts the uniform fluid to be linearly unstable. However, the mean-fieldDFT does not correctly describe the transitions between the different morphologies, which the simulations show to be analogous to micelle formation. We determine how the heat capacity varies as the model parameters are changed. There are peaks in the heat capacity at state points where the morphology changes occur. We also map the lattice model onto a continuum DFT that facilitates a simplification of the stability analysis of the uniform fluid.


B.C. and C.C. are both funded by EPSRC studentships.



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  • Mathematical Sciences


CHACKO, B., CHALMERS, C. and ARCHER, A.J., 2015. Two-dimensional colloidal fluids exhibiting pattern formation. Journal of Chemical Physics 143 (244904); doi: 10.1063/1.4937941


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This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

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This paper was published in the Journal of Chemical Physics [© American Institute of Physics]. It is also available at: http://dx.doi.org/10.1063/1.4937941



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