Meet the Researcher: Bridging Mathematics and Solar Physics at RoCS

- My name is Elisabeth, and I’m from Os. I am pursuing a joint PhD between RoCS and the University of St Andrews in Scotland.

Running woman at the Edinburgh half-marathon 2023

Doctoral Research Fellow Elisabeth Enerhaug joined RoCS in 2021. Photo: Ola Gamst Sæther

Academic journey and early influences

I did my undergraduate degree in St Andrews, Scotland, and masters at NTNU in Trondheim, both in mathematics.

I embarked on my academic journey at the University of St Andrews in Scotland, where I focused primarily on applied mathematics. It was here that my interest in solar physics, numerical simulations, and programming began to take shape. This foundational period was crucial, as it not only provided me with essential mathematical skills but also introduced me to the fascinating complexities of solar phenomena.

Following my undergraduate degree, I returned to Norway to pursue a master’s degree at the Norwegian University of Science and Technology (NTNU) in Trondheim. My master's studies took a slightly different turn towards applied algebra, culminating in a thesis on cryptography. Additionally, I took a semester off to work for Cappelen-Damm, a book publisher, where I contributed to an online educational platform by creating math problems aimed at pupils aged 10 to 15. This experience broadened my perspective on mathematical applications and education.

Bridging Mathematics and physics

My background in mathematics has certainly influenced my approach to research, particularly in a field as interdisciplinary as solar physics. Mathematicians, especially those focused on pure mathematics, build and apply theories based on logical arguments. Physicists, on the other hand, often base their theories on observations. Applied mathematics, which forms the core of my expertise, straddles these two disciplines, leveraging rigorous logical frameworks while being deeply rooted in practical applications. This unique blend allows me to approach problems in solar physics from a fresh, integrative perspective.

Research focus

In 2021, I began my PhD, a joint endeavor between the University of St Andrews and the University of Oslo. My work at the Rosseland Centre for Solar Physics (RoCS) has been both challenging and rewarding. After multiple visits to Oslo, I relocated here in mid-September 2023, where I will complete the final 1.5 years of my PhD.

My research is centered on identifying magnetohydrodynamic (MHD) wave modes in the solar corona. While these wave modes are well-defined in uniform plasma, the non-uniformity of the solar corona makes them difficult to distinguish. Successfully identifying these wave modes can significantly enhance our understanding of coronal heating and advance the field of coronal seismology.

Figure: The Alfvén identifier νA of a transverse, oscillating loop. Left: numerical simulation and right: MUSE synthetic emission . For the synthetic emission ν =∂vy/∂x where vy is the Doppler velocity observed from the direction parallel to the loop. For the numerical simulation νA = ( × v) · B/B (i.e. includes derivatives and magnetic field in all directions). (Enerhaug et al., 2024)

Research methodology

Over the past eight months, I have been developing methods to isolate properties such as the direction of propagation and compressibility of MHD wave modes from plasma flow. Our primary focus has been on numerical simulations of coronal loops to understand these properties better. Recently, we have begun applying these methods to observations, using synthetic emissions as seen by future telescopes like MUSE.

Our preliminary results are promising. For instance, the Alfvén wave identifier has shown consistent results between numerical simulations and synthetic emissions, particularly in detecting azimuthal Alfvén waves at the loop boundary.

The appeal of RoCS

The connection between St Andrews and Oslo was well-known to me during my undergraduate studies. When I discovered a PhD position that combined these institutions and focused on solar theory, it felt like an ideal fit. The opportunity to work within such a prominent research group was too good to pass up.

Young woman skiing
Skiing in Nesbyen this winter. Photo: Private 

Reflections and expectations

Being part of two esteemed research communities has been a privilege. The learning experience has been immense, and I have enjoyed observing the similarities and differences between the institutions. Now that I am based in Oslo, the welcoming environment at RoCS and ITA has been incredibly supportive.

Looking ahead, I expect to continue expanding my knowledge of solar physics and refining my research skills. Being surrounded by passionate and knowledgeable colleagues is both motivating and inspiring.

Running woman
Rare shot of me looking happy while running the Edinburgh half-marathon last year. Photo: Private

Life outside the lab

Outside of my academic pursuits, I embrace the stereotypical Norwegian love for the outdoors. Whether it's hiking in the mountains, running in the forest or by the sea, or skiing in the winter, I relish being active in nature. For more leisurely activities, I enjoy knitting and listening to audiobooks and podcasts. I'm always on the lookout for new podcast recommendations, so feel free to share your favorites!

Tags: Solar Physics, Mathematics, PhD By Elisabeth Enerhaug, Eyrun Thune
Published May 21, 2024 11:36 AM - Last modified May 21, 2024 11:49 AM