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Winter 2019

Image related to interactions of gas with massive stars and fast-rotating neutron stars known as pulsars

Researching Thermal, Nonthermal Signatures in Galactic Nuclei

By Ian M. Christie

Ian M. Christie

The centers of most galaxies are believed to harbor supermassive black holes (SMBH) millions of times more massive than our Sun. Only a small fraction of these black holes are fed gas at high rates, resulting in extremely bright active galactic nuclei (AGN). These large amounts of gas are then expelled, in the form of a collimated jet, out of the galaxy at speeds close to the speed of light.

The remaining class of galactic nuclei are deemed low-luminosity AGN, in which the SMBH is starved of the local gas, thereby producing little radiation for us to observe. My doctoral research has focused on modeling the emission and inferring properties of the emission sites in both classes of galactic nuclei.

X-ray Transients and Radio Emission in Our Galactic Center

The SMBH in our Galactic Center (GC), classi­fied as Sgr A*, is a perfect target to study low-luminosity AGN. Properties of the gas surround­ing the SMBH (e.g., density, temperature, veloci­ty) remain elusive despite numerous theoretical studies and large observational campaigns (e.g., Event Horizon Telescope, Chandra X-ray Tele­scope).

We therefore require indirect methods of measuring the properties of the local gas. In my research, I’ve developed such models in which these properties can be probed via their interactions with stars residing close to the SMBH. As illustrated in Figure 1, the spherically outflowing stellar winds interact with the local gas, resulting in a shock wave forming within the stellar winds.

In my work, I’ve considered the interactions of the local gas with massive main-sequence stars as well as compact, fast-rotating neutron stars known as pulsars. I have shown that the emission produced from the shocked stellar winds can provide insights into the properties of the local gas.

To accurately estimate the intensity of the radiation produced by the shocked wind, we require detailed informa­tion regarding the structure and geometry of the shock wave forming in the stellar wind. In (Christie et al. 2016, MNRAS), I developed a semi-analytical model that describes the ge­ometry of the shock formed in the stellar wind.

My solution not only reproduces those found in previous studies of stellar wind bow shocks, but also extends the shock model by exploring the effects of high-temperature gas on the overall geometry. This solution is applicable to many astrophysical systems and is particularly important when investigating the dual interactions of stellar winds of a binary star system (Petropoulou, Vasilopoulos, Christie et al. 2018, MNRAS).

An application of my model was first per­formed for the case of S2, a massive type-B star orbiting the SMBH in our Galactic Center and characterized by having the closest ap­proach to Sgr A*. Through detailed analytical estimates and numerical hydrodynamic simulations (see right panel of Figure 1), I demonstrated that the shock stellar wind can produce a monthlong X-ray flare, via the thermal bremsstrahlung mechanism, with a peak luminosity exceeding that of current observations.

This potential flaring event is within the detection capabilities of current X-ray instruments (e.g., NASA’s Chandra X-ray telescope), and its detection would allow us to constrain the density and temperature of the local gas surrounding Sgr A*. My model and its predictions will be put on firm ground as S2 makes its closest approach to Sgr A* in spring 2018.

figure 1
Figure 1: (Left Panel) Sketch of a star’s transit through the local gas surrounding Sgr A* (Image Credit: Dr. S. Dimitrakoudis). Interac¬tions between the gas and the outflowing stellar wind result in the wind being terminated by a strong shock (maroon line). The radiation produced by the shocked stellar wind (shaded, maroon region) is observable with current instruments and can provide insights into the properties and dynamics of the local gas. (Right Panel) Density plot of a numerical, hydrodynamic simulation snapshot displaying the interactions between the stellar wind of S2 and a hot, dense medium. My solution for the geometry of the termination shock in the wind, shown in green, is well fitted to the numerical results.

The observed spectrum and luminosity produced by the gas surrounding Sgr A* from radio to X-ray frequencies is well accounted for by several theoretical models of radiatively inefficient accretion flows. Although these models require a distribution of relativistic elec­trons to be present near the SMBH, in order to reproduce the observed radio emission, they do not provide an origin for such a distribution. In (Christie et al. 2017, MNRAS), I proposed a possible origin for the required distribution via means of a pulsar orbiting the SMBH.

The shock wave forming in the outflowing stellar winds of the pulsar, due to the interac­tions with the local gas (see Figure 1), pro­vides an excellent mechanism for accelerating electrons to high energies. These energetic particles can enter the local gas and cool, via the synchrotron radiation mechanism, within the local magnetic fields on long timescales (i.e., tens to thousands of years). With this sim­plified model, I demonstrated that the pres­ence of a single pulsar is all that is required to reproduce the observed radio spectrum and provides a natural explanation for the origin of the required distribution of electrons.

Blazar Variability and Magnetic Reconnection Driven Plasmoids

The observed radiation from AGNs is produced within a collimated, relativistic jet emanating from an SMBH. The emission from blazars, a subclass of AGN in which the relativistic jet is aligned with our line of sight, is found to be highly variable, with its luminosity changing by orders of magni­tude on timescales ranging from minutes to weeks. This class of objects is observed to be variable across the entire electromagnetic spectrum. What powers blazar emission is ultimately related to how electrons are accelerated to ultra-relativistic speeds within magnetized fluids.

An excellent candidate, which I’ve em­ployed in my research, is referred to as mag­netic reconnection, a process in which the en­ergy stored within the local magnetic fields is transferred to electrons. This process is a result of magnetic instabilities occurring with the jet and can produce thousands of plasmoids, i.e., spherical blobs of magnetized fluid containing relativistic particles moving relativistically with­in the jet (see Figure 2). This dynamic process has been the extent of numerous theoretical and experimental studies and has many applications to various astrophysical phe­nomena (e.g., solar flares, pulsar winds). The relativistic regime of the reconnection process, most applicable to AGNs and blazars, can only be studied through detailed first-principle numerical simulations, which can nowadays properly simulate this process.
figure 2
Figure 2: (Left Panel) 3D simulation snapshot of a relativistic jet being launched from an SMBH, located at the bottom cen¬ter of the panel (Barniol-Duran et al. 2017, MNRAS). Here, the shaded turquoise region represents the density of the material within the jet, while the magnetic fields collimating the jet are presented in white. Magnetic instabilities occurring within the jet trigger the magnetic reconnection process (Top Right Pane), in which spherical blobs of plasma (i.e., plasmoids), containing relativistic electrons, are launched from the jet at relativistic speeds toward an observer (Sironi et al. 2016, MN¬RAS). The emission produced by a chain of plasmoids is highly variable with flare durations lasting on timescales of several minutes to weeks (Bottom Right Panel) (Christie et al. 2018, in prep).

In light of these recent simulations, I’ve assisted in the development of two numerical codes to test the reconnection model as a source blazar emission. The first numerical model was a Monte Carlo (MC) code used to examine the effects of the plasmoid’s dynamics on the steady-state distributions of plasmoid sizes and momenta (Petropoulou, Christie, et al. 2018, MNRAS).

This MC approach allowed for computationally fast realizations, necessary for better understanding the statistical properties of the plasmoids produced by the reconnection process. I have shown that the size distribution of plasmoids constitutes a power-law, similar to results found in previous studies, which extend over several orders of magnitudes.

In this work, I’ve also derived the power-law slope’s dependence upon individual processes that govern the motion and growth of plasmoids, thereby allowing us to pinpoint the exact processes that govern the shape of the size distribution. The results from our MC code are in good agreement with those produced from first-principle simulations and permit us to directly map them to astrophysical scales that cannot yet be directly simulated.

The second numerical code, which is the majority of my current research, is referred to as a radiative transfer code (Christie et al. 2018, in prep). This code properly tracks the evolution and resulting emission of relativistic electrons within each plasmoid throughout the entirety of the reconnection process. Here, I couple my code to the results of first-principle numerical simulations of relativistic magnetic reconnection.

In doing so, I consider a variety of radiative processes that are expect­ed to occur within a blazar jet (e.g., synchrotron, Compton processes) as well as several factors external to the jet that can affect the cumulative emission produced by a chain of plasmoids.

A preliminary result is shown in the bottom right panel of Figure 2. Here, I plot the integrated gamma-ray emission produced by a chain of 230 plasmoids, the dynamics of which are governed by first-principle numerical simulations. These results match well with current observations of blazars and can reproduce many characteristic features observed within blazar jets!

Ian Christie was advised by Professor Dimitrios Giannios. His research was supported by NASA, the National Science Foundation and the Purdue Research Foundation. He is currently a postdoctoral fellow at Northwestern University.

The Charlotte Ida Litman Tubis award recognizes clear and concise communication of scientific ideas beyond the physics and astronomy community.