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A stellar core is the extremely hot, dense region at the center of a star. For an ordinary main sequence star, the core region is the volume where the temperature and pressure conditions allow for energy production through thermonuclear fusion of hydrogen into helium. This energy in turn counterbalances the mass of the star pressing inward; a process that self-maintains the conditions in thermal and hydrostatic equilibrium. The minimum temperature required for stellar hydrogen fusion exceeds 107 K (10 MK), while the density at the core of the Sun is over 100 g/cm3. The core is surrounded by the stellar envelope, which transports energy from the core to the stellar atmosphere where it is radiated away into space.[1]

Main sequence
High-mass main sequence stars have convective cores, intermediate-mass stars have radiative cores, and low-mass stars are fully convective.

Main sequence stars are distinguished by the primary energy generating mechanism in their central region, which joins four hydrogen nuclei to form a single helium atom through thermonuclear fusion. The Sun is an example of this class of star. Once stars with the mass of the Sun form, the core region reaches thermal equilibrium after about 100 million (108)[2] years and becomes radiative.[3] This means the generated energy is transported out of the core via radiation and conduction rather than through mass transport in the form of convection. Above this spherical radiation zone lies a small convection zone just below the outer atmosphere.

At lower stellar mass, the outer convection shell takes up an increasing proportion of the envelope, and for stars with a mass of around 0.35 M☉ (35% of the mass of the Sun) or less (including failed stars) the entire star is convective, including the core region.[4] These very low mass stars (VLMS) occupy the late range of the M-type main-sequence stars, or red dwarf. The VLMS form the primary stellar component of the Milky Way at over 70% of the total population. The low mass end of the VLMS range reaches about 0.075 M☉, below which ordinary (non-deuterium) hydrogen fusion does not take place and the object is designated a brown dwarf. The temperature of the core region for a VLMS decreases with decreasing mass, while the density increases. For a star with 0.1 M☉, the core temperature is about 5 MK while the density is around 500 g cm−3. Even at the low end of the temperature range, the hydrogen and helium in the core region is fully ionized.[4]

Below about 1.2 M☉, energy production in the stellar core is predominantly through the proton–proton chain reaction, a process requiring only hydrogen. For stars above this mass, the energy generation comes increasingly from the CNO cycle, a hydrogen fusion process that uses intermediary atoms of carbon, nitrogen, and oxygen. In the Sun, only 1.5% of the net energy comes from the CNO cycle. For stars at 1.5 M☉ where the core temperature reaches 18 MK, half the energy production comes from the CNO cycle and half from the pp chain.[5] The CNO process is more temperature sensitive than pp chain, with most of the energy production occurring near the very center of the star. This results in a stronger thermal gradient, which creates convective instability. Hence, the core region is convective for stars above about 1.2 M☉.[6]

For all masses of stars, as the core hydrogen is consumed, the temperature increases so as to maintain pressure equilibrium. This results in an increasing rate of energy production, which in turn causes the luminosity of the star to increase. The lifetime of the core hydrogen–fusing phase decreases with increasing stellar mass. For a star with the mass of the Sun, this period is around ten billion years. At 5 M☉ the lifetime is 65 million years while at 25 M☉ the core hydrogen–fusing period is only six million years.[7] The longest-lived stars are fully convective red dwarfs, which can stay on the main sequence for hundreds of billions of years or more.[8]

Subgiant stars

Once a star has converted all the hydrogen in its core into helium, the core is no longer able to support itself and begins to collapse. It heats up and becomes hot enough for hydrogen in a shell outside the core to start fusion. The core continues to collapse and the outer layers of the star expand. At this stage, the star is a subgiant. Very-low-mass stars never become subgiants because they are fully convective.[9]

Stars with masses between about 0.4 M☉ and 1 M☉ have small non-convective cores on the main sequence and develop thick hydrogen shells on the subgiant branch. They spend several billion years on the subgiant branch, with the mass of the helium core slowly increasing from fusion of the hydrogen shell. Eventually the core becomes degenerate and the star expands onto the red giant branch.[9]

Stars with higher masses have at least partially convective cores while on the main sequence, and they develop a relatively large helium core before exhausting hydrogen throughout the convective region, and possibly in a larger region due to convective overshoot. When core fusion ceases, the core starts to collapse and it is so large that the gravitational energy actually increases the temperature and luminosity of the star for several million years before it becomes hot enough to ignite a hydrogen shell. Once hydrogen starts fusing in the shell, the star cools and it is considered to be a subgiant. When the core of a star is no longer undergoing fusion, but its temperature is maintained by fusion of a surrounding shell, there is a maximum mass called the Schönberg–Chandrasekhar limit. When the mass exceeds that limit, the core collapses and the outer layers of the star expand rapidly to become a red giant. In stars up to approximately 2 M☉, this occurs only a few million years after the star becomes a subgiant. Stars more massive than 2 M☉ have cores above the Schönberg–Chandrasekhar limit before they leave the main sequence.[9]

Giant stars
Differences in structure between a star on the main sequence, on the red giant branch, and on the horizontal branch

Once the supply of hydrogen at the core of a low mass star with at least 0.25 M☉[8] is depleted, it will leave the main sequence and evolve along the red giant branch of the Hertzsprung–Russell diagram. Those evolving stars with up to about 1.2 M☉ will contract their core until hydrogen begins fusing through the pp chain along a shell around the inert helium core, passing along the subgiant branch. This process will steadily increase the mass of the helium core, causing the hydrogen-fusing shell to increase in temperature until it can generate energy through the CNO cycle. Due to the temperature sensitivity of the CNO process, this hydrogen fusing shell will be thinner than before. Non-core convecting stars above 1.2 M☉ that have consumed their core hydrogen through the CNO process, contract their cores and directly evolve into the giant stage. The increasing mass and density of the helium core will cause the star to increase in size and luminosity as it evolves up the red giant branch.[10]

For stars in the mass range 0.4–1.5 M☉, the helium core becomes degenerate before it is hot enough for helium to start fusion. When the density of the degenerate helium at the core is sufficiently high − at around 10×106 g cm−3 with a temperature of about 10×108 K − it undergoes a nuclear explosion known as a "helium flash". This event is not observed outside the star, as the unleashed energy is entirely used up to lift the core from electron degeneracy to normal gas state. The helium fusing core expands, with the density decreasing to about 103 − 104 g cm−3, while the stellar envelope undergoes a contraction. The star is now on the horizontal branch, with the photosphere showing a rapid decrease in luminosity combined with an increase in the effective temperature.[11]

In the more massive main-sequence stars with core convection, the helium produced by fusion becomes mixed throughout the convective zone. Once the core hydrogen is consumed, it is thus effectively exhausted across the entire convection region. At this point the helium core starts to contract and hydrogen fusion begins along a shell around the perimeter, which then steadily adds more helium to the inert core.[7] At stellar masses above 2.25 M☉, the core does not become degenerate before initiating helium fusion.[12] Hence, as the star ages, the core continues to contract and heat up until a triple alpha process can be maintained at the center, fusing helium into carbon. However, most of the energy generated at this stage continues to come from the hydrogen fusing shell.[7]

For stars above 10 M☉, helium fusion at the core begins immediately as the main sequence comes to an end. Two hydrogen fusing shells are formed around the helium core: a thin CNO cycle inner shell and an outer pp chain shell.[13]
See also

Solar core
Stellar evolution

References

Pradhan & Nahar 2008, p. 624
Lodders & Fegley, Jr 2015, p. 126
Maeder 2008, p. 519
Chabrier & Baraffe 1997, pp. 1039−1053
Lang 2013, p. 339
Maeder 2008, p. 624
Iben 2013, p. 45
Adams, Fred C.; Laughlin, Gregory; Graves, Genevieve J. M. (2004), Red Dwarfs and the End of the Main Sequence, Revista Mexicana de Astronomía y Astrofísica, pp. 46–49, Bibcode:2004RMxAC..22...46A.
Salaris & Cassisi 2005, p. 140
Rose 1998, p. 267
Hansen, Kawaler & Trimble 2004, p. 63
Bisnovatyi-Kogan 2001, p. 66

Maeder 2008, p. 760

Bibliography

Bisnovatyi-Kogan, G.S. (2001), Stellar Physics: Stellar Evolution and Stability, Astronomy and Astrophysics Library, translated by Blinov, A.Y.; Romanova, M., Springer Science & Business Media, ISBN 9783540669876
Chabrier, Gilles; Baraffe, Isabelle (November 1997), "Structure and evolution of low-mass stars", Astronomy and Astrophysics, 327: 1039−1053, arXiv:astro-ph/9704118, Bibcode:1997A&A...327.1039C.
Hansen, Carl J.; Kawaler, Steven D.; Trimble, Virginia (2004), Stellar Interiors: Physical Principles, Structure, and Evolution, Astronomy and Astrophysics Library (2nd ed.), Springer Science & Business Media, ISBN 9780387200897
Iben, Icko (2013), Stellar Evolution Physics: Physical processes in stellar interiors, Cambridge University Press, p. 45, ISBN 9781107016569.
Lang, Kenneth R. (2013), Essential Astrophysics, Undergraduate Lecture Notes in Physics, Springer Science & Business Media, p. 339, ISBN 978-3642359637.
Lodders, Katharina; Fegley, Jr, Bruce (2015), Chemistry of the Solar System, Royal Society of Chemistry, p. 126, ISBN 9781782626015.
Maeder, Andre (2008), Physics, Formation and Evolution of Rotating Stars, Astronomy and Astrophysics Library, Springer Science & Business Media, ISBN 9783540769491.
Pradhan, Anil K.; Nahar, Sultana N. (2011), Atomic Astrophysics and Spectroscopy, Cambridge University Press, pp. 226−227, ISBN 978-1139494977.
Rose, William K. (1998), Advanced Stellar Astrophysics, Cambridge University Press, p. 267, ISBN 9780521588331
Salaris, Maurizio; Cassisi, Santi (2005), Evolution of Stars and Stellar Populations, John Wiley & Sons, ISBN 9780470092224

Stars
Formation

Accretion Molecular cloud Bok globule Young stellar object
Protostar Pre-main-sequence Herbig Ae/Be T Tauri FU Orionis Herbig–Haro object Hayashi track Henyey track

Evolution

Main sequence Red-giant branch Horizontal branch
Red clump Asymptotic giant branch
super-AGB Blue loop Protoplanetary nebula Planetary nebula PG1159 Dredge-up OH/IR Instability strip Luminous blue variable Blue straggler Stellar population Supernova Superluminous supernova / Hypernova

Spectral classification

Early Late Main sequence
O B A F G K M Brown dwarf WR OB Subdwarf
O B Subgiant Giant
Blue Red Yellow Bright giant Supergiant
Blue Red Yellow Hypergiant
Yellow Carbon
S CN CH White dwarf Chemically peculiar
Am Ap/Bp HgMn Helium-weak Barium Extreme helium Lambda Boötis Lead Technetium Be
Shell B[e]

Remnants

White dwarf
Helium planet Black dwarf Neutron
Radio-quiet Pulsar
Binary X-ray Magnetar Stellar black hole X-ray binary
Burster

Hypothetical

Blue dwarf Green Black dwarf Exotic
Boson Electroweak Strange Preon Planck Dark Dark-energy Quark Q Black Gravastar Frozen Quasi-star Thorne–Żytkow object Iron Blitzar

Stellar nucleosynthesis

Deuterium burning Lithium burning Proton–proton chain CNO cycle Helium flash Triple-alpha process Alpha process Carbon burning Neon burning Oxygen burning Silicon burning S-process R-process Fusor Nova
Symbiotic Remnant Luminous red nova

Structure

Core Convection zone
Microturbulence Oscillations Radiation zone Atmosphere
Photosphere Starspot Chromosphere Stellar corona Stellar wind
Bubble Bipolar outflow Accretion disk Asteroseismology
Helioseismology Eddington luminosity Kelvin–Helmholtz mechanism

Properties

Designation Dynamics Effective temperature Luminosity Kinematics Magnetic field Absolute magnitude Mass Metallicity Rotation Starlight Variable Photometric system Color index Hertzsprung–Russell diagram Color–color diagram

Star systems

Binary
Contact Common envelope Eclipsing Symbiotic Multiple Cluster
Open Globular Super Planetary system

Earth-centric
observations

Sun
Solar System Sunlight Pole star Circumpolar Constellation Asterism Magnitude
Apparent Extinction Photographic Radial velocity Proper motion Parallax Photometric-standard

Lists

Proper names
Arabic Chinese Extremes Most massive Highest temperature Lowest temperature Largest volume Smallest volume Brightest
Historical Most luminous Nearest
Nearest bright With exoplanets Brown dwarfs White dwarfs Milky Way novae Supernovae
Candidates Remnants Planetary nebulae Timeline of stellar astronomy

Related articles

Substellar object
Brown dwarf Sub-brown dwarf Planet Galactic year Galaxy Guest Gravity Intergalactic Planet-hosting stars Tidal disruption event

Physics Encyclopedia

World

Index

Hellenica World - Scientific Library

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