Elastic constants of a nematic liquid crystal: Quadrupole–quadrupole interaction in the ellipsoidal approximation

Ponti, S.; Freire, F. C. M.; Dias, João-Paulo; Evangelista, L. R.

doi:10.1016/j.physleta.2008.08.079

Cited by 8 publications

(5 citation statements)

References 27 publications

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“…The systems with a negative effective elastic constant form steady-state patterns in the modulation of the director for the case of active systems 18,19 . This result is reminiscent of the patterns seen in equilibrium phases of liquid crystals which have a negative elastic constant due to their shape 52–54 . As this instability and its consequences have been the topic of previous theoretical and numerical investigation, we shall forgo further discussion of them here.…”

Section: Instabilities Of the Nematic Statementioning

confidence: 60%

Instabilities, defects, and defect ordering in an overdamped active nematic

et al. 2016

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We consider a phenomenological continuum theory for an extensile, overdamped active nematic liquid crystal, applicable in the dense regime. Constructed from general principles, the theory is universal, with parameters independent of any particular microscopic realization. We show that it exhibits two distinct instabilities, one of which arises due to shear forces, and the other due to active torques. Both lead to the proliferation of defects. We focus on the active torque bend instability and find three distinct nonequilibrium steady states including a defect-ordered nematic in which +12 disclinations develop polar ordering. We characterize the phenomenology of these phases and identify the relationship of this theoretical description to experimental realizations and other theoretical models of active nematics.

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Section: Instabilities Of the Nematic Statementioning

confidence: 60%

Instabilities, defects, and defect ordering in an overdamped active nematic

et al. 2016

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“…The relation between the elastic constants and the elastic tensors-consequently, the interaction potential-was extensively discussed in many other works, see, e.g., refs. [1,[9][10][11][12][13]. For a different approach, the reader can also see [1,[4][5][6].…”

Section: A Brief Discussion On the Pseudo-molecular Methodsmentioning

confidence: 99%

“…The pseudo-molecular method [1][2][3][4][5][6] has been successfully applied to determine the elastic constants of nematic liquid crystal (NLC) for the Maier-Saupe [7,8], Nehring-Saupe [9,10], and quadrupolar [11,12] interaction energies, among others. The method is very simple and has some limitations [6], but it brings a direct way to connect the elastic constants with the intermolecular interaction responsible for the NLC phase.…”

Section: Introductionmentioning

confidence: 99%

Elastic Constants of a Disc-Like Nematic Liquid Crystal: Pseudo-Molecular Approach

2015

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“…Recently Ponti et al [14] have considered quadrupolar interactions of the elliptic molecules. They predict that with increasing the eccentricity of the interaction volume, K 22 can monotonically decrease and even change sign causing possible instabilities in the nematic orientation.…”

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confidence: 99%