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Recently, Tavarone et al. (J. Chem. Phys. 143, 114505 (2015)) discussed phasebehavior of zig-zag and bow-shaped particles composed of three needles. Theauthors presented very interesting results of extensive Monte Carlo simulationswith periodic boundary conditions in the constant-NVT and the constant-NPTensembles. In addition to isotropic, nematic, and smectic phases, theyidentified a modulated nematic, which is actually the nematic splay-bend phase($N_{SB}$), long-anticipated for bent-core systems (Europhys. Lett. 56, 247(2001)). They also described isotropic-nematic and nematic-smectic transitionsusing Density Functional Theory in mean-field approximation. The authors,however, did not provided a theoretical description of the $N_{SB}$. Here, wepresent a simple theory of a phase transition to the $N_{SB}$ phase to fill thegap. In our study, we use Onsager-type Density Functional Theory with perfectorder approximation and Meyer parametrization of modulated structures. Wepresent results for arbitrary ratios of the length of central and side segmentsand opening angles of bow-shaped particles.

Note: Formation of the nematic splay-bend in two-dimensional systems of bow-shaped particles