Deuterium fusion

Deuterium fusion, also called deuterium burning, is a nuclear fusion reaction that occurs in stars and some substellar objects, in which a deuterium nucleus and a proton combine to form a helium-3 nucleus. It occurs as the second stage of the proton–proton chain reaction, in which a deuterium nucleus formed from two protons fuses with another proton, but can also proceed from primordial deuterium.

In protostars

Deuterium is the most easily fused nucleus available to accreting protostars,[1] and such fusion in the center of protostars can proceed when temperatures exceed 106 K.[2] The reaction rate is so sensitive to temperature that the temperature does not rise very much above this.[2] The energy generated by fusion drives convection, which carries the heat generated to the surface.[1]

If there was no deuterium fusion, there would be no stars with masses more than about two or three times the mass of the Sun in the pre-main-sequence phase as the more intense hydrogen fusion would occur and prevent the object from accreting matter.[2] Deuterium fusion allows further accretion of mass by acting as a thermostat that temporarily stops the central temperature from rising above about one million degrees, a temperature not hot enough for hydrogen fusion, but allowing time for the accumulation of more mass.[3] When the energy transport mechanism switches from convective to radiative, energy transport slows, allowing the temperature to rise and hydrogen fusion take over in a stable and sustained way. Hydrogen fusion will begin at 107 K.

The rate of energy generation is proportional to (deuterium concentration)×(density)×(temperature)11.8. If the core is in a stable state, the energy generation will be constant. If one variable in the equation increases, the other two must decrease to keep energy generation constant. As the temperature is raised to the power of 11.8, it would require very large changes in either the deuterium concentration or its density to result in even a small change in temperature.[2][3] The deuterium concentration reflects the fact that the gasses are a mixture of ordinary hydrogen and helium and deuterium.

The mass surrounding the radiative zone is still rich in deuterium, and deuterium fusion proceeds in an increasingly thin shell that gradually moves outwards as the radiative core of the star grows. The generation of nuclear energy in these low-density outer regions causes the protostar to swell, delaying the gravitational contraction of the object and postponing its arrival on the main sequence.[2] The total energy available by deuterium fusion is comparable to that released by gravitational contraction.[3]

Due to the scarcity of deuterium in the Universe, a protostar's supply of it is limited. After a few million years, it will have effectively been completely consumed.[4]

In substellar objects

Hydrogen fusion requires much higher temperatures and pressures than does deuterium fusion, hence, there are objects massive enough to burn deuterium but not massive enough to burn hydrogen. These objects are called brown dwarfs, and have masses between about 13 and 80 times the mass of Jupiter.[5] Brown dwarfs may shine for a hundred million years before their deuterium supply is burned out.[6]

Objects above the deuterium-fusion minimum mass (deuterium burning minimum mass, DBMM) will fuse all their deuterium in a very short time (∼4–50 Myr), whereas objects below that will burn little, and hence, preserve their original deuterium abundance. "The apparent identification of free-floating objects, or rogue planets below the DBMM would suggest that the formation of star-like objects extends below the DBMM."[7]

In planets

It has been shown that deuterium fusion should also be possible in objects that form from circumstellar disks by the core-accretion paradigm, commonly called "planets". The mass threshold for the onset of deuterium fusion atop the solid cores is also at roughly 13 Jupiter masses.[8][9]

Other reactions

Though fusion with a proton is the dominant method of consuming deuterium, other reactions are possible. These include fusion with another deuterium nucleus to form helium-3, tritium, or (more rarely) helium-4, or with helium to form various isotopes of lithium.[10]

References

  1. 1 2 Adams, Fred C. (1996). Zuckerman, Ben; Malkan, Mathew, eds. The Origin and Evolution of the Universe. United Kingdom: Jones & Bartlett. p. 47.
  2. 1 2 3 4 5 Palla, Francesco; Zinnecker, Hans (2002). Physics of Star Formation in Galaxies. Springer-Verlag. pp. 21–22, 24–25. ISBN 3-540-43102-0.
  3. 1 2 3 Bally, John; Reipurth, Bo (2006). The birth of stars and planets. Cambridge University Press. p. 61.
  4. ↑ Adams, Fred (2002). Origins of existence: how life emerged in the universe. The Free Press. p. 102. ISBN 0-7432-1262-2.
  5. ↑ LeBlanc, Francis (2010). An Introduction to Stellar Astrophysics. United Kingdom: John Wiley & Sons. p. 218. ISBN 978-0-470-69956-0.
  6. ↑ Lewis, John S. (2004). Physics and chemistry of the solar system. United Kingdom: Elsevier Academic Press. p. 600. ISBN 0-12-446744-X.
  7. ↑ "Deuterium Burning in Substellar Objects". IOPscience. The American Astronomical Society. Retrieved 2 January 2015.
  8. ↑ Mollière, P.; Mordasini, C. (7 November 2012). "Deuterium burning in objects forming via the core accretion scenario". Astronomy & Astrophysics. 547: A105. arXiv:1210.0538Freely accessible. Bibcode:2012A&A...547A.105M. doi:10.1051/0004-6361/201219844.
  9. ↑ Bodenheimer, Peter; D'Angelo, Gennaro; Lissauer, Jack J.; Fortney, Jonathan J.; Saumon, Didier (20 June 2013). "Deuterium Burning in Massive Giant Planets and Low-mass Brown Dwarfs Formed by Core-nucleated Accretion". The Astrophysical Journal. 770 (2): 120. arXiv:1305.0980Freely accessible. Bibcode:2013ApJ...770..120B. doi:10.1088/0004-637X/770/2/120.
  10. ↑ Rolfs, Claus E.; Rodney, William S. (1988). Cauldrons in the cosmos: nuclear astrophysics. University of Chicago Press. p. 338. ISBN 0-226-72456-5.
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