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Hayashi track

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The Hayashi track is a specific relationship between luminosity and temperature. It describes the path infant stars follow during their pre-main-sequence (PMS) phase. This phase occurs after a protostar finishes its initial rapid contraction.

PMS evolution tracks
PMS evolution tracks

The track appears as a nearly vertical curve on the Hertzsprung–Russell (HR) diagram. This diagram is a tool used to plot a star's brightness against its surface temperature. Understanding this track is vital for astronomers studying how stars evolve from clouds of gas into stable suns. It represents a state of stability for young, low-mass stars.

Stars begin as protostars within giant molecular clouds. Gravity causes these regions to collapse, which releases gravitational energy. This energy heats the protostar during a process called free fall. For a star with the mass of our Sun, this takes roughly 100,000 years. Once the temperature reaches about 4000 K, the star reaches the Hayashi boundary.

T Tauri tracks
T Tauri tracks

At this point, the object is known as a T Tauri star. It begins to follow the Hayashi track, contracting much more slowly than before. As the star shrinks, its surface area decreases. Because it has less area to emit light, its luminosity drops significantly. However, its surface temperature remains relatively constant during this descent.

This movement is driven by the way energy moves through the star. Stars on the Hayashi track are nearly fully convective. Convection is a process where hot gas rises and cooler gas sinks. This happens because these young stars are cool and highly opaque. Opacity refers to how much a material resists the flow of energy. In these stars, hydrogen ions dominate the opacity. Because the gas is so opaque, radiation cannot easily carry the energy away. Instead, the star must use convection to move heat from the inside to the surface.

There is a specific region on the HR diagram called the forbidden zone. This zone lies to the right of the Hayashi track. No star can exist here in a state of hydrostatic equilibrium. Hydrostatic equilibrium is a balance between gravity pulling inward and pressure pushing outward. If a star enters this zone, it develops a superadiabatic temperature gradient. This means the temperature changes too sharply with distance from the center.

PMS evolution tracks
PMS evolution tracks

Such a gradient causes rapid, unstable convection. This convection quickly moves the star back toward the stable Hayashi track.

We understand this process thanks to the Japanese astrophysicist Chushiro Hayashi. He lived from 1920 to 2010 and changed how we view stellar beginnings. In 1961, he published two papers that established the concept of the pre-main-sequence phase. Before Hayashi, models assumed stars were in radiative equilibrium. This meant they assumed energy moved mostly through light rather than moving gas. Hayashi realized that thick convection zones were actually necessary to explain star behavior. In 1962, he published a massive 183-page review of stellar evolution. His work allowed scientists to use star clusters to test these theories.

A star's mass determines exactly which path it takes.

T Tauri tracks
T Tauri tracks

Stars with less than 0.5 solar masses stay fully convective. They follow the Hayashi track until they begin nuclear fusion. Stars between 0.5 and 3 solar masses are more complex. They eventually develop a radiative zone, where energy moves via radiation. When this happens, they leave the Hayashi track and follow the Henyey track. This Henyey track is a path of increasing temperature at nearly constant luminosity. Even heavier stars skip the Hayashi track entirely. They are born directly onto the main sequence.

Scientists have used these models to study real star clusters. One notable example is the very young cluster NGC2264.

Ngc 2264
Ngc 2264

The stars in this cluster fit the isochrones predicted by Hayashi's models. An isochrone is a line on the HR diagram representing stars of the same age. By observing NGC2264, astronomers confirmed that these stars are rapidly contracting T Tauri stars. This evidence supports the entire framework of pre-main-sequence evolution. It connects the physics of gas and gravity to the visible life cycles of the stars we see in the sky.

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🖼️ Images & Media (4)
File:PMS evolution tracks.svg
PMS evolution tracks.svg
File:Hayashi composition.png
Hayashi composition.png
File:Ngc 2264.png
Ngc 2264.png
File:T Tauri tracks.png
T Tauri tracks.png
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