Taking a turn through the world of astrophysical disks Right: Artist's depiction of an accretion disk Thin disks of rotating gas and dust can form around young stars, black holes, white dwarfs, neutron stars and even planets. Saturn's rings are an example of such disks, as are the disks that form around active galactic nuclei (AGN). As mass flows inward through these accretion disks to fuel giant energy outputs, many types of waves can form. Pressure forces and the rotation of the gas itself can Right: Image of an give rise to oscillations. Magnetic fields can cause accretion disk disturbances to become unstable, exciting both around a black very large and very small waves. Both hole in misalignments and the gravity of nearby stars galaxy NGC 4261 can warp and twist disks, and the deformations themselves can move inward as wavelike disturbances. Spiraling out of control Wacky Warping Spiral density waves can be excited by gravitational perturbations from planets or nearby companion stars. Spiral waves are steepening into shock fronts in the face‐ on simulation snapshot to the right, and interacting unstably with other waves in the edge‐on snapshot below. The cartoon below illustrates the warping deformations that can propagate like waves through an accretion disk. Circling the planets Saturn's rings give a nearby example of an accretion disk. W a e v o s c d i l l n a a t i s Magnetic Mayhem on s. . . Sufficiently ionized accretion disks can be threaded by magnetic fields, which exert tension and pressure forces on the gas while at the same time being pushed and pulled by the flow. Combined with the rotation of the fluid, this causes the gas to become unstable, resulting in turbulent transport and wave excitation on large and small scales. The snapshot to the right is from a simulation that has reached this turbulent state. Listening to the stars ... in a Mechanical oscillators and standing waves e j strophysical ob Stars, disks and organ pipes are all examples of mechanical oscillators. Every oscillator has its own set of special frequencies that it resonates at. Larger objects have lower frequencies, which is why longer organ pipes produce lower notes. In addition to their fundamental frequency, objects can also resonate at higher frequencies, called overtones. s t c What makes stars oscillate? Stars are balls of gas held together by gravity. Many types of waves, such as sound waves, can travel through the gas. These waves interact to form standing waves, and the entire star then "rings" with a certain frequency. This is very similar to the way organ pipes work. Some stars, such as Cepheid variables, are intrinsically unstable to oscillations. These are known as classical pulsators, and while their pulsations can be quite dramatic, these stars are relatively uncommon. Other stars, like our Sun, oscillate because they possess convection zones. The "boiling" motions in these zones pummel the star and make it ring. Stars like these are called solar‐like oscillators and are quite common. Their pulsations are much weaker than Cepheids. What happens when stars oscillate? Oscillations often involve the movement of gas inwards or outwards. Some stars, like white dwarfs, can also undergo twisting motions. Most stars are too far away for us to directly image their oscillations. However, motions of the gas cause the surface temperatures to change, producing brightness fluctuations that can be measured. Left: Right: Brightness changes over time in a red giant star called Mira. Pulsating stars similar to Mira are called Mira variables. Examples of standing waves in a half‐open pipe. Their wavelengths are determined by the length of the pipe. Why study stellar oscillations? By applying the principles of fluid mechanics, we can learn about the properties and internal structure of stars. We can derive information about their mass, radius, rotation speed, chemistry and magnetic field. Above: Sound waves bouncing around inside a star. If the waves constructively interfere, a pattern called a mode is formed. Below: The spectrum of modes in our Sun. Each peak corresponds to one frequency, or "note" in which the Sun is ringing.
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