Written by: Russ Nelson November 13, 2024 Swedish physicist Hannes Alfv茅n combined the mathematics of fluid mechanics and electromagnetism in 1942 to predict plasmas could support wave-like variation in the magnetic field, a phenomenon now known as Alfv茅n waves. Courtesy NASA Syed Ayaz, a researcher at The University of 91大神 in Huntsville (91大神), has published that builds on an that examined kinetic Alfv茅n waves (KAW) as a possible explanation for why the solar corona, the outermost layer of the sun鈥檚 atmosphere, is approximately 200 times hotter than the surface of the sun itself. The new study, also a first, further confirms that these electromagnetic phenomena 鈥 abundant throughout the plasma universe 鈥 could prove vital to unlocking the biggest mystery of heliophysics. 鈥淚n our earlier work, we explored wave-particle interactions, focusing on the dynamics of kinetic Alfv茅n waves in plasmas,鈥 notes Ayaz, a graduate research assistant in the Center for Space Plasma and Aeronomic Research (CSPAR) at 91大神, a part of The University of 91大神 System. 鈥淗owever, certain critical aspects 鈥 such as the energy distribution of KAWs, the net resonance speed of particles and the characteristic damping length of KAWs 鈥 remained unexplored.鈥 Syed Ayaz, a graduate research assistant in the Center for Space Plasma and Aeronomic Research (CSPAR). Michael Mercier | 91大神 Kinetic Alfv茅n waves are oscillations of the charged particles and magnetic field as they move through the solar plasma. The waves are formed by motions in the photosphere, the sun鈥檚 outer shell that radiates visible light. 鈥淒amping鈥 is a physical phenomenon that occurs in plasmas when charged particles interact with wave electric fields where KAWs transfer energy to particles, leading to plasma heating over extended distances. 鈥淚n this new study, we addressed these critical issues, which have not been investigated in existing literature,鈥 Ayaz says. 鈥淏y comparing our analytical findings with data from NASA's and the European Space Agency鈥檚 missions, we found strong consistency validating our theoretical results. Notably, this work represents the first investigation of these phenomena in non-thermal plasma, marking a significant advancement in understanding KAW dynamics in the solar corona and solar wind.鈥 A need for speed 鈥淕roup velocity,鈥 the speed at which the energy of a wave propagates through a medium, is a key factor in understanding how KAWs transport energy across different spatial regions, such as the solar corona and solar wind 鈥 regions central to Ayaz鈥檚 research. This velocity helps researchers examine the flow and distribution of wave energy, enabling a better understanding of its role in energy transfer in astrophysical environments. One critical piece of the puzzle is the precise velocity of the particles 鈥 called the resonance speed 鈥 after they gain energy from waves such as KAWs. 鈥淲hen particles absorb energy from KAWs, at what speed do they move? The resonance velocity provides crucial insights into the flow and distribution of particle acceleration, enabling a better understanding of its role in energy transfer in astrophysical environments,鈥 says Ayaz. 鈥淚n our current study, we derive analytical expressions for the net resonance speed of particles, offering a quantitative measure of particle acceleration. The new study also reveals the damping length of KAWs, a parameter that derives the distance over which these waves can transport energy before being damped, providing valuable insights into the efficiency and reach of energy transfer mediated by KAWs in space plasmas.鈥 All three aspects 鈥 the group velocity of KAWs, the net resonance speed of particles and the damping length of KAWs 鈥 play pivotal roles in understanding wave-particle interactions in space plasmas. 鈥淭he phenomenon of the net resonance speed of particles stands out as especially significant,鈥 Ayaz says. 鈥淭his is because it directly quantifies how particles gain energy from KAWs and how their motion evolves in response to this energy transfer. For the first time, we have derived generalized analytical expressions for the net resonance speed of particles, providing a robust framework for understanding particle acceleration and heating mechanisms in non-thermal plasmas, offering insights into both localized and large-scale dynamics in the solar corona and solar wind.鈥 鈥淪yed has undertaken an extensive and very important investigation into the direct mechanism by which ions, especially protons, are heated by magnetic fluctuations that terminate the cascade of energy from large to small scales,鈥 says Dr. Gary Zank, Aerojet/Rocketdyne Chair in Space Science, as well as director of the Center for Space Physics and Aeronomic Research (CSPAR). 鈥淜AWs have long been regarded as the mechanism by which magnetic energy at small scales is converted to heat, but the precise mechanism by which this process occurs has not been understood. Syed鈥檚 work offers a clear path for how this process occurs.鈥 Looking ahead, this revolutionary work lays the foundation for future research projects aimed at deepening the understanding of the intricate processes at play in space plasma environments. 鈥淭he derived expressions have significant practical value for the broader scientific community, especially for data simulation experts,鈥 Ayaz concludes. 鈥淏y incorporating these generalized formulas into their coding frameworks, researchers can simulate more accurate models of wave-particle interactions, improving predictions of space weather phenomena. This interdisciplinary applicability underscores the potential of our findings to advance not only theoretical plasma physics but also its practical applications in computational astrophysics and beyond.鈥 Learn More College of Science The Center for Space Plasma and Aeronomic Research (CSPAR) Contact Kristina Hendrix 256-824-6341 kristina.hendrix@uah.edu Julie Jansen 256-824-6926julie.jansen@uah.edu