Titlebook: Knotted Fields; Renzo L. Ricca,Xin Liu Book 2024 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Natu

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Keshan-disease

A Topological Approach to Vortex Knots and Links,a conserved quantity of ideal fluid mechanics, focusing on the topological interpretation in terms of linking numbers. Then we proceed to consider the derivation from helicity of the Jones and HOMFLYPT knot polynomials, showing that their adapted formulation can be expressed in terms of writhe and t

人工制品

Diastole

Multi-Valued Potentials in Topological Field Theory,ult of Gauss on the interpretation of the magnetic potential in terms of solid angle to show the relevance of these earlier results in modern topological field theory. This is done by considering some particular case studies. First we re-derive the Biot-Savart induction law in terms of solid angle,

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Excitable and Magnetic Knots,table knots and links is both complex and fascinating, as shown by examples of knot untangling and the collision of knots and links. Even the simple threading of a circular filament by other filaments is shown to produce exotic behaviour. This is illustrated within a chemical excitable medium via nu

Canvas

Designing Knotted Fields in Light and Electromagnetism, topology of complex-valued scalar fields of three dimensional space, and in particular their nodal lines (phase singularities, vortices), the story builds through several different optical settings (random waves, holographically controlled laser light, magnetostatics, time-dependent electromagnetic

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mydriatic

莎草

Observe

Renzo L. Ricca,Xin LiuIt provides a comprehensive review of the rapidly expanding field of Knotted Fields.It highlights role and effects of low dimensional topology on the dynamics and energetics of physical knotted fields