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ZN-balls: Solitons from ZN-symmetric scalar field theory
28 novembre 2022, CeREF TechniqueArticle scientifiqueWe discuss the conditions under which static, finite-energy, configurations of a complex scalar field ϕ with constant phase and spherically-symmetric norm exist in a potential of the form V(ϕ*ϕ, ϕ^N, ϕ^*N) with N ∈ N and N ≥ 2, i.e., a potential with a ZN-symmetry. Such configurations are called ZN-balls. We build explicit solutions in (3 + 1)-dimensions from a model mimicking effective field ... -
Wearable Sensors Applied in Movement Analysis
30 novembre 2022, CeREF TechniqueLivre/Ouvrage ou monographieRecent advances in electronics have led to sensors whose sizes and weights are such that they can be placed on living systems without impairing their natural motion and habits. They may be worn on the body as accessories or as part of the clothing and enable personalized mobile information processing. Wearable sensors open the way for a nonintrusive and continuous monitoring of body orientation, ... -
Diffusion in Phase Space as a Tool to Assess Variability of Vertical Centre-of-Mass Motion during Long-Range Walking
06 février 2023, CeREF SantéCeREF TechniqueArticle scientifiqueWhen a Hamiltonian system undergoes a stochastic, time-dependent anharmonic perturbation, the values of its adiabatic invariants as a function of time follow a distribution whose shape obeys a Fokker–Planck equation. The effective dynamics of the body’s centre-of-mass during human walking is expected to represent such a stochastically perturbed dynamical system. By studying, in phase space, the ...