Search results for "fluctuation [charge]"

showing 5 items of 15 documents

Time evolution of a pair of distinguishable interacting spins subjected to controllable and noisy magnetic fields

2017

The quantum dynamics of a $\hat{\mathbf{J}}^2=(\hat{\mathbf{j}}_1+\hat{\mathbf{j}}_2)^2$-conserving Hamiltonian model describing two coupled spins $\hat{\mathbf{j}}_1$ and $\hat{\mathbf{j}}_2$ under controllable and fluctuating time-dependent magnetic fields is investigated. Each eigenspace of $\hat{\mathbf{J}}^2$ is dynamically invariant and the Hamiltonian of the total system restricted to any one of such $(j_1+j_2)-|j_1-j_2|+1$ eigenspaces, possesses the SU(2) structure of the Hamiltonian of a single fictitious spin acted upon by the total magnetic field. We show that such a reducibility holds regardless of the time dependence of the externally applied field as well as of the statistical…

PhysicsQuantum PhysicsHamiltonian modelSpinsAnalytical expressionsQuantum dynamicsTime evolutionGeneral Physics and AstronomyFOS: Physical sciencesFluctuation and noiseQuantum spin model01 natural sciences010305 fluids & plasmasMagnetic fieldsymbols.namesakePhysics and Astronomy (all)0103 physical sciencessymbolsIsotropic Heisenberg interactionCondensed Matter::Strongly Correlated Electrons010306 general physicsHamiltonian (quantum mechanics)Quantum Physics (quant-ph)Eigenvalues and eigenvectorsMathematical physics
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ANALYSIS OF SUNSPOT NUMBER FLUCTUATIONS

2004

Monthly averages of the sunspot number visible on the sun, observed from 1749, Zurich Observatory, and from 1848 other observatories, have been analyzed. This time signal presents a frequency power spectra with a clear 1/fα behavior with α≃0.8±0.2. The well-known cycle of approximately 11 years, clearly present in the spectrum, does not produce a sensible distortion of that behavior. The eventual characterization of the sunspot time series as a fractal is analyzed by means of the detrended fluctuation analysis (DFA). The jump-size distribution of the signal is also studied.

SunspotSeries (mathematics)MeteorologyApplied MathematicsTime signalAstrophysicsSpectral lineFractalObservatoryModeling and SimulationDistortionDetrended fluctuation analysisGeometry and TopologyMathematicsFractals
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Persistence in complex systems

2022

Persistence is an important characteristic of many complex systems in nature, related to how long the system remains at a certain state before changing to a different one. The study of complex systems' persistence involves different definitions and uses different techniques, depending on whether short-term or long-term persistence is considered. In this paper we discuss the most important definitions, concepts, methods, literature and latest results on persistence in complex systems. Firstly, the most used definitions of persistence in short-term and long-term cases are presented. The most relevant methods to characterize persistence are then discussed in both cases. A complete literature r…

fractal dimensionFOS: Computer and information sciencesComplex systemsRenewable energyglobal solar-radiationsystems' statesComplex networksGeneral Physics and AstronomyFOS: Physical scienceslong-term and short-term methodsadaptationzero-temperature dynamicsDynamical Systems (math.DS)Physics - GeophysicsneurosciencememoryMethodology (stat.ME)PersistenceOptimization and planningMemoryMachine learningearthquake magnitude seriesFOS: MathematicsAtmosphere and climateMathematics - Dynamical SystemsAdaptationcomplex systemslow-visibility eventstime-seriesStatistics - Methodologyinflation persistenceLong-term and short-term methodsdetrended fluctuation analysislong-range correlationspersistencecomplex networksSystems’ statesEconomyneural networksrenewable energyGeophysics (physics.geo-ph)atmosphere and climateeconomymachine learningoptimization and planningNeural networkswind-speedNeuroscience
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Slow 0.1 Hz Breathing and Body Posture Induced Perturbations of RRI and Respiratory Signal Complexity and Cardiorespiratory Coupling

2020

Objective: We explored the physiological background of the non-linear operating mode of cardiorespiratory oscillators as the fundamental question of cardiorespiratory homeodynamics and as a prerequisite for the understanding of neurocardiovascular diseases. We investigated 20 healthy human subjects for changes using electrocardiac RR interval (RRI) and respiratory signal (Resp) Detrended Fluctuation Analysis (DFA, α1RRI, α2RRI, α1Resp, α2Resp), Multiple Scaling Entropy (MSERRI1−4, MSERRI5−10, MSEResp1−4, MSEResp5−10), spectral coherence (CohRRI−Resp), cross DFA (ρ1 and ρ2) and cross MSE (XMSE1−4 and XMSE5−10) indices in four physiological conditions: supine with spontaneous breathing, stand…

medicine.medical_specialtySupine positionPhysiologyslow breathing030204 cardiovascular system & hematologyRespiratory signalAutonomic regulationlcsh:Physiology03 medical and health sciences0302 clinical medicinePhysiology (medical)Internal medicinemedicinerespiration rhythm variabilityOriginal Researchlcsh:QP1-981business.industryBody postureCardiorespiratory fitnesscardiorespiratory couplingRR interval variabilityState dependentCardiologyDetrended fluctuation analysisCardiorespiratory couplingbusinesscomplexity030217 neurology & neurosurgeryorthostasis
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Gender differences in elite athletes heart rate dynamics following a supra maximal complex effort

2017

Regarding the importance of recovery in sport performance assessment of post exercise Heart Rate HR Dynamics has become a useful tool to understand such an individual process Heart Rate Variability HRV analysis is widely used as a non invasive marker of Autonomic Nervous System regulation of HR where the nonlinear methods Detrended Fluctuation Analysis DFA have become a promising complementary analysis technique In order to deepen on the effects of supra maximal complex efforts integrating specific endurance and strength requirements on cardiac autonomic regulation our research group is working in different protocols looking for the analysis of specific responses under supra maximal exertio…

medicine.medical_specialtybiologyAthletesbusiness.industryAlpha (ethology)Isometric exercisebiology.organism_classificationAutonomic nervous systemInternal medicineHeart ratemedicineDetrended fluctuation analysisCardiologyPull-upHeart rate variabilitybusinessRendiment (Esports)
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