On the Derivation of a Density Functional Theory for Microphase Separation of Diblock Copolymers

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Droplet Minimizers of an Isoperimetric Problem with Long‐Range Interactions (2011, background): “Even though it is questionable whether such an energy actually describes DBCs (see Choksi and Ren [15], Muratov [39] and Niethammer and Oshita [40]), nevertheless it is a first, and mathematically non-trivial, attempt to capture some of the main features of these systems.”
On the first and second variations of a nonlocal isoperimetric problem (2007, background): “[2], [9], [22], see also the Appendix) and is closely related to models arising in the study of magnetic domains and walls (cf.”
Uniform energy distribution for an isoperimetric problem with long-range interactions (2008, background): “3) from the statistical physics of interacting block copolymers can be found in [9].”
The phase field method for geometric moving interfaces and their numerical approximations (2019, unknown): “Phase field models of diblock copolymers, such as the model due to Ohta and Kawasaki [343], have had a long history and is an active area of research [110, 361, 419, 86, 388, 305, 107].”