Search results for "phase slips"

showing 3 items of 3 documents

Eckhaus instability of stationary patterns in hyperbolic reaction–diffusion models on large finite domains

2022

AbstractWe have theoretically investigated the phenomenon of Eckhaus instability of stationary patterns arising in hyperbolic reaction–diffusion models on large finite domains, in both supercritical and subcritical regime. Adopting multiple-scale weakly-nonlinear analysis, we have deduced the cubic and cubic–quintic real Ginzburg–Landau equations ruling the evolution of pattern amplitude close to criticality. Starting from these envelope equations, we have provided the explicit expressions of the most relevant dynamical features characterizing primary and secondary quantized branches of any order: stationary amplitude, existence and stability thresholds and linear growth rate. Particular em…

Hyperbolic reaction–diffusion models Inertial effects Pattern dynamics Ginzburg–Landau equation Eckhaus instability Phase slipsComputational MathematicsNumerical AnalysisApplied MathematicsSettore MAT/07 - Fisica MatematicaAnalysis
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Three-Dimensional Superconducting Nanohelices Grown by He+-Focused-Ion-Beam Direct Writing

2019

Novel schemes based on the design of complex three-dimensional (3D) nanoscale architectures are required for the development of the next generation of advanced electronic components. He+ focused-ion-beam (FIB) microscopy in combination with a precursor gas allows one to fabricate 3D nanostructures with an extreme resolution and a considerably higher aspect ratio than FIB-based methods, such as Ga+ FIB-induced deposition, or other additive manufacturing technologies. In this work, we report the fabrication of 3D tungsten carbide nanohelices with on-demand geometries via controlling key deposition parameters. Our results show the smallest and highest-densely packed nanohelix ever fabricated s…

Research programFocused-ion-beam-induced depositionLibrary scienceBioengineeringGinzburg−Landau equation02 engineering and technologyEuropean Social FundPhase slipsHelium ion microscopePolitical scienceSemiconductors and NanostructuresGeneral Materials ScienceCost action[PHYS.COND]Physics [physics]/Condensed Matter [cond-mat]ComputingMilieux_MISCELLANEOUSGinzburg-Landau equationNanosuperconductorsMechanical EngineeringGinzburg landau equationFísicaQuímicaGeneral ChemistryDirect writing021001 nanoscience & nanotechnologyCondensed Matter PhysicsWork (electrical)Christian ministryHigh field0210 nano-technologyThree-dimensional nanoprinting
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Three-Dimensional Superconducting Nanohelices Grown by He

2019

Novel schemes based on the design of complex three-dimensional (3D) nanoscale architectures are required for the development of the next generation of advanced electronic components. He+ focused-ion-beam (FIB) microscopy in combination with a precursor gas allows one to fabricate 3D nanostructures with an extreme resolution and a considerably higher aspect ratio than FIB-based methods, such as Ga+ FIB-induced deposition, or other additive manufacturing technologies. In this work, we report the fabrication of 3D tungsten carbide nanohelices with on-demand geometries via controlling key deposition parameters. Our results show the smallest and highest-densely packed nanohelix ever fabricated s…

nanosuperconductorsLetterphase slipsthree-dimensional nanoprintingHelium ion microscopeGinzburg−Landau equationfocused-ion-beam-induced depositionNano letters
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