Evidence of Nonlinear Signatures in Solar Wind Proton Density at the L1 Lagrange point

2025/04/15 by Dario Javier Zamora, Zamora, Dario Javier, Facundo Abaca +5 · 1 voice
Physics and Astronomy · #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Physical sciences #Plasma Physics (physics.plasm-ph) #Solar and Stellar Astrophysics (astro-ph.SR) #Space Physics (physics.space-ph) #astro-ph.EP #astro-ph.SR #physics.plasm-ph #physics.space-ph

paper · pdf · doi:10.48550/arxiv.2504.11265

Abstract

The solar wind is a medium characterized by strong turbulence and significant field fluctuations on various scales. Recent observations have revealed that magnetic turbulence exhibits a self-similar behavior. Similarly, high-resolution measurements of the proton density have shown comparable characteristics, prompting several studies into the multifractal properties of these density fluctuations. In this work, we show that low-resolution observations of the solar wind proton density over time, recorded by various spacecraft at Lagrange point L1, also exhibit non-linear and multifractal structures. The novelty of our study lies in the fact that this is the first systematic analysis of solar wind proton density using low-resolution (hourly) data collected by multiple spacecraft at the L1 Lagrange point over a span of 17 years. Furthermore, we interpret our results within the framework of non-extensive statistical mechanics, which appears to be consistent with the observed nonlinear behavior. Based on the data, we successfully validate the q-triplet predicted by non-extensive statistical theory. To the best of our knowledge, this represents the most rigorous and systematic validation to date of the q-triplet in the solar wind.

Citations

• Möbius transforms, cycles and q-triplets in statistical mechanics
• The multi-scale nature of the solar wind
• Dimensionally regularized Tsallis’ statistical mechanics and two-body Newton’s gravitation
• Long-Term Trends In The Solar Wind Proton Measurements
• A first order Tsallis theory
• Relaxation Processes in Solar Wind Turbulence
• Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma. Part two: Solar Flares dynamics
• Tsallis non-extensive statistics, intermittent turbulence, SOC and chaos in the solar plasma. Part one: Sunspot dynamics
• FRAME DEPENDENCE OF THE ELECTRIC FIELD SPECTRUM OF SOLAR WIND TURBULENCE
• Turbulent Density Spectrum in Solar Wind Plasma
• Nonadditive entropy: the concept and its use
• Analytical predictions of non-Gaussian distribution parameters for stellar plasmas
• On a q-Central Limit Theorem Consistent with Nonextensive Statistical Mechanics
• Triangle for the entropic index q of non-extensive statistical mechanics observed by Voyager 1 in the distant heliosphere
• Asymptotically scale-invariant occupancy of phase space makes the entropy S q extensive
• Dynamical scenario for nonextensive statistical mechanics
• Entropic nonextensivity: A possible measure of complexity
• Interpretation of the nonextensitivity parameter q in some applications of Tsallis statistics and Lévy distributions
• Nonextensivity and multifractality in low-dimensional dissipative systems

Discussions

• Dario Javier Zamora, Facundo Abaca, Bruno Zossi, Ana Georgina Elias: Evidence of Nonlinear Signatures in Solar Wind Proton Density at the L1 Lagrange point https://arxiv.org/abs/2504.11265 https://arx [bsky, 0 points, 1 comments]

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