2019
DOI: 10.1103/physreve.100.012703
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Magnetic nanoparticles in a nematic channel: A one-dimensional study

Abstract: We study a ferromagnetic suspension or a suspension of magnetic nanoparticles in an anisotropic nematic medium, in three different one-dimensional variational settings, ordered in terms of increasing complexity. The three models are featured by a nematic energy, a magnetic energy and a magneto-nematic coupling energy and the experimentally observed patterns are modelled as local or global energy minimizers.We numerically observe polydomains with distinct states of magnetization for weak to moderate magneto-nem… Show more

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Cited by 17 publications
(17 citation statements)
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“…Hence, we expect our work to be foundational for subsequent cutting-edge numerical studies of interfacial phenomena, higher-dimensional defects, quenching phenomena for LCs which are necessarily characterized by singular behavior. A particularly interesting application would be the dG formulation of the continuum theory of ferronematics [10]. Ferronematics in confinement naturally exhibit domain walls and interior point defects and it would be interesting to see how dG results compare to numerical results from confoming FEM, particularly near structural defects e.g.…”
Section: Resultsmentioning
confidence: 99%
“…Hence, we expect our work to be foundational for subsequent cutting-edge numerical studies of interfacial phenomena, higher-dimensional defects, quenching phenomena for LCs which are necessarily characterized by singular behavior. A particularly interesting application would be the dG formulation of the continuum theory of ferronematics [10]. Ferronematics in confinement naturally exhibit domain walls and interior point defects and it would be interesting to see how dG results compare to numerical results from confoming FEM, particularly near structural defects e.g.…”
Section: Resultsmentioning
confidence: 99%
“…The Dirichlet conditions are special in the sense that we impose a topologically non-trivial boundary condition on M, which necessarily creates an interior magnetic vortex for the M-profiles. Our work is motivated by dilute ferronematic suspensions in 2D frameworks (see [18,21,25]) and we study observable, physically relevant states in terms of local or global minimizers of an appropriately defined free energy. This approach may apply more widely to model systems with polar and apolar order parameters.…”
Section: Discussionmentioning
confidence: 99%
“…In [21] and [18], the authors study a dilute suspension of MNPs in a one-dimensional NLC-filled channel and a NLC-filled 2D square, respectively. They report exotic stable morphologies for the nematic director and the associated magnetization profile, without any external fields.…”
Section: Introductionmentioning
confidence: 99%
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“…For dilute MNP-NLC suspensions, it is reasonable to treat the nematic order and the averaged magnetic moment of the nanoparticles as continuous variables [20,21].…”
Section: Introductionmentioning
confidence: 99%