Diffusion in the presence of a chiral topological defect

Manapany, A.; Moueddene, L.; Berche, Bertrand; Fumeron, Sébastien

doi:10.1140/epjb/s10051-022-00384-z

Cited by 4 publications

(4 citation statements)

References 27 publications

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“…Therefore, curvature/torsion can be taken advantage of to taylor the outgoing fluxes for applications in mechanical engineering (acoustics, electronics, thermotronics, optics..., see e.g. [103][104][105][106]). Such perspectives are also under investigations in biology, where the possibility to control the dynamics of defects pairs was shown for tissues prepatterned from photoaligned liquid crystal elastomer [107].…”

Section: Miscellaneamentioning

confidence: 99%

Introduction to topological defects: from liquid crystals to particle physics

Fumeron¹,

Berche²

2022

Preprint

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Liquid crystals are assemblies of rod-like molecules which self-organize to form mesophases, inbetween ordinary liquids and anisotropic crystals. At each point, the molecules collectively orient themselves along a privileged direction, which locally defines an orientational order. Sometimes, this order is broken and singularities appear in the form of topological defects. This tutorial article is dedicated to the geometry, topology and physics of these defects. We introduce the main models used to describe the nematic phase and discuss the isotropic-nematic phase transition. Then, we present the different families of defects in nematics and examine some of their physical outcomes.Finally, we show that topological defects are universal patterns of nature, appearing not only in soft matter, but also in biology, cosmology, geology and even particle physics.

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Section: Miscellaneamentioning

confidence: 99%

Introduction to topological defects: from liquid crystals to particle physics

Fumeron¹,

Berche²

2022

Preprint

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“…Another important part of BB's work concerns the history and philosophy of science [19,25,28,42,50]. Even in his PhD thesis [2], he began with an extended historic introduction to critical phenomena [an "avant-propos"].…”

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confidence: 99%

“…This included publications to mark the anniversary of the death of Cagniard de la Tour [25] as well as the history of Ernst Ising and the Ising model [42]. Quite recently he again contributed [50] to the Ising lectures with a topic which, while at first sight might seem to be far away from Ising, but which in fact related general relativity to solid state physics by considering torsion in spacetime. In several papers it is shown how this transdisciplinary relation is useful for the understanding of the behavior of quasiparticles in systems with topological defects [33,50].…”

mentioning

confidence: 99%

“…Quite recently he again contributed [50] to the Ising lectures with a topic which, while at first sight might seem to be far away from Ising, but which in fact related general relativity to solid state physics by considering torsion in spacetime. In several papers it is shown how this transdisciplinary relation is useful for the understanding of the behavior of quasiparticles in systems with topological defects [33,50]. For that purpose he used the analogy between the classical Maxwell theory and the Kalb-Ramond theory [49].…”

mentioning

confidence: 99%

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