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- W2319005642 abstract "Above the spinodal temperature for micro-phase separation in block co-polymers, asymmetric mixtures can exhibit random heterogeneous structure. This behaviour is similar to the sub-critical regime of many pattern-forming models. In particular, there is a rich set of localised patterns and associated dynamics. This paper clarifies the nature of the bifurcation diagram of localised solutions in a density functional model of A−B diblock mixtures. The existence of saddle-node bifurcations is described, which explains both the threshold for heterogeneous disordered behaviour as well the onset of pattern propagation. A procedure to generate more complex equilibria by attaching individual structures leads to an interwoven set of solution curves. This results in a global description of the bifurcation diagram from which dynamics, in particular self-replication behaviour, can be explained." @default.
- W2319005642 created "2016-06-24" @default.
- W2319005642 creator A5035036034 @default.
- W2319005642 date "2011-12-21" @default.
- W2319005642 modified "2023-09-25" @default.
- W2319005642 title "Characterising the disordered state of block copolymers: Bifurcations of localised states and self-replication dynamics" @default.
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- W2319005642 doi "https://doi.org/10.1017/s0956792511000398" @default.
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