Influence of Ferromagnetic Carbon Nanotubes on Magnetic Transitions in Liquid Crystals

Freedericksz transition in ferronematic liquid crystal under weak anchoring conditions

“…This scheme of non-dimensionalization finds resemblances with several other works pubslihed previously [38,44]. Here, in equation (15), F is the dimensionless free energy for a ferronematic, η is now our dimensionless length scale, which varies as 0 η 1, which can be found from figure 1, κ plays the role of non-dimensional elastic constant of the medium.…”

“…Following the work of Burylov and Raikher [20,21], series of experimental [25,[30][31][32][33][34] and theoretical works [35][36][37][38][39] were carried out to understand the different aspect of a ferronematic state. These include phase diagrams, Freedericksz transition and the magnetic field induced shift in isotropic to nematic transition temperature.…”

“…Though there is no specific connection between the nature of anchoring and the shape of MNPs [41], soft planar anchoring seems to reduce the Freedericksz threshold field significantly [43]. Contrary to the soft planar anchoring at the surface of the MNPs, many of the theoretical studies [35][36][37][38] assume strong rigid anchoring at the cell boundaries. In practice, however, the mesogenic molecules are weakly anchored at the cell boundaries and this effect is investigated scarcely [39,44] in literature.…”

Electric Properties of Multiwalled Carbon Nanotubes Dispersed in Liquid Crystals and Their Influence on Freedericksz Transitions

“…They are also the most studied and used in various fields, from electronic and communication engineering [ 6 , 7 , 8 ] to chemistry [ 9 , 10 ], environmental science [ 11 , 12 ] and medicine [ 13 , 14 ]. Initially, experimental and theoretical studies were made on their physical properties such as magnetic properties [ 15 , 16 , 17 , 18 ], optical transmission and absorbency [ 19 , 20 ], electrical or thermal conductivity [ 21 , 22 , 23 ] and mechanical strength or elasticity [ 24 ]. More advanced theoretical models were proposed to provide a deeper understanding of phenomena in the nanoscale world including nanoparticles and/or liquid crystal molecules [ 25 , 26 , 27 , 28 , 29 , 30 , 31 ].…”

The Influence of Single-Walled Carbon Nanotubes on the Dynamic Properties of Nematic Liquid Crystals in Magnetic Field

“…After the discovery of nanomaterials and the synthesis of new nanoparticles, interest in the analysis of their physical properties increased in order to identify as many applications as possible [1][2][3][4][5][6][7][8][9][10]. Carbon-based nanoparticles, such as nanotubes, graphene, fullerene, or nanotori were analyzed both from experimental [11][12][13][14][15][16] and theoretical points of view [17][18][19][20][21][22]. Carbon nanotubes (CNTs) are the most studied due to their mechanical, electrical, optical, or magnetic properties that make them suitable for many applications in material science, nano-electronics, medicine, and other fields.…”