Understanding entropic contributions to common ordering transitions is essential for the design of self-assembling systems with addressable complexity.
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References
Onsager, L. Ann. NY Acad. Sci. 51, 627–659 (1949).
Vroege, G. J. & Lekkerkerker, H. N. W. Rep. Prog. Phys. 55, 1241–1309 (1992).
Wood, W. W. & Jacobson, J. D. J. Chem. Phys. 27, 1207–1208 (1957).
Alder, B. J. & Wainwright, T. E. J. Chem. Phys. 27, 1208–1209 (1957).
Percus, J. K. (ed.) The Many-Body Problem (Interscience, 1963).
Pusey, P. N. & van Megen, W. Nature 320, 340–342 (1986).
de Nijs, B. et al. Nature Mater. 14, 56–60 (2015).
Frenkel, D. in Advances in the Computer Simulations of Liquid Crystals (eds Pasini, P. & Zannoni, C.) 51–72 (Kluwer, 2000).
Damasceno, P. F. et al. Science 337, 453–457 (2012).
Aarts, D. G. A. L., Schmidt, M. & Lekkerkerker, H. N. W. Science 304, 847–850 (2004).
Asakura, S. & Oosawa, F. J. Chem. Phys. 22, 1255–1256 (1954).
Vrij, A. Pure Appl. Chem. 48, 471–483 (1976).
Lekkerkerker, H. N. W. & Tuinier, R. Colloids and the Depletion Interaction (Springer, 2011).
Feng, L., Laderman, B., Sacanna, S. & Chaikin, P. Nature Mater. 14, 61–65 (2015).
Ke, Y., Ong, L. L., Shih, W. M. & Yin, P. Science 338, 1177–1183 (2012).
Whitelam, S. & Jack, R. L. Preprint at http://arxiv.org/abs/1407.2505 (2014).
Cadermartiri, L. & Bishop, K. J. M. Nature Mater. 14, 2–9 (2015).
Dobzhansky, T. Am. Biol. Teach. 35, 125–129 (1973).
Clausius, R. Annalen der Physik 125, 353400 (1865).
Planck, M. Annalen der Physik 309, 553–563 (1901).
Frenkel, D. Mol. Phys. 112, 2325–2329 (2014).
Acknowledgements
This work has been supported by the ERC Advanced Grant 227758 and the EPSRC Programme Grant EP/I001352/1.
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Frenkel, D. Order through entropy. Nature Mater 14, 9–12 (2015). https://doi.org/10.1038/nmat4178
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DOI: https://doi.org/10.1038/nmat4178
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