What is the effect of ionization at low densities?

  • I
  • Thread starter Swamp Thing
  • Start date
  • Tags
    Ionization
In summary, John Baez explains that all matter, except for black holes, will eventually lose atoms or electrons and protons through sublimation or ionization, even at low temperatures. This is due to the competition between minimizing energy and maximizing entropy. The technical term for this process is the statistical mechanical partition function, and there are online resources, such as a paper by Miranda, that provide more detail on this concept.
  • #1
Swamp Thing
Insights Author
906
570
John Baez says here http://math.ucr.edu/home/baez/end.html

... everything except the black holes will have a tendency to "sublimate" or "ionize", gradually losing atoms or even electrons and protons, despite the low temperature. ... If you take a box of hydrogen and keep making the box bigger while keeping its temperature fixed, it will eventually ionize. This happens no matter how low the temperature is, as long as it's not exactly absolute zero — which is forbidden by the 3rd law of thermodynamics, anyway.

This may seem odd, but the reason is simple: in thermal equilibrium any sort of stuff minimizes its free energy, E - TS: the energy minus the temperature times the entropy. This means there is a competition between wanting to minimize its energy and wanting to maximize its entropy. Maximizing entropy becomes more important at higher temperatures; minimizing energy becomes more important at lower temperatures — but both effects matter as long as the temperature isn't zero or infinite.

What is the technical term for this process? Is there some online stuff that explains this in more detail?
 
Last edited:
Physics news on Phys.org
  • #2
I think he’s probably referring to the somewhat surprising fact that the statistical mechanical partition function of the hydrogen atom is divergent, which implies that you’ll never find a proton bound to an electron. The reason is a little contrived: in an infinite universe with only one proton and one electron, there is essentially no chance that the proton or electron will ever interact; in other words, entropy wins (there are far more states where the proton and electron are unbound than states where they are bound).

However, the divergence of the partition function is extraordinarily slow: even putting a proton and an electron into an empty box the size of the observable universe—not infinite but ridiculously big—predicts that the two will be bound.

Edit: here’s a paper with more info:
https://www-liphy.ujf-grenoble.fr/pagesperso/bahram/Phys_Stat/Biblio/Miranda_Hydrogen_2001.pdf
 

1. What is ionization at low densities?

Ionization at low densities refers to the process by which atoms or molecules lose one or more of their electrons, resulting in the formation of ions, in an environment where the number of particles per unit volume is relatively low.

2. What causes ionization at low densities?

Ionization at low densities can be caused by a variety of factors, including exposure to high-energy radiation, collisions with other particles, or chemical reactions. It can also occur naturally in outer space due to the presence of cosmic rays.

3. What are some applications of ionization at low densities?

One common application of ionization at low densities is in plasma generation, which is used in many technologies such as fluorescent lighting, plasma TVs, and particle accelerators. It is also important to study in fields such as astrophysics, where ionization at low densities plays a significant role in the behavior of interstellar matter.

4. How is ionization at low densities measured?

Ionization at low densities can be measured using a variety of techniques, depending on the specific environment being studied. Some common methods include using mass spectrometry to detect the presence of ions, or using spectroscopy to analyze the wavelengths of light emitted by ionized particles.

5. What are the effects of ionization at low densities on biological systems?

Ionization at low densities can have both beneficial and harmful effects on biological systems. On one hand, it is used in medical treatments such as radiation therapy to kill cancer cells. On the other hand, excessive exposure to ionizing radiation can lead to DNA damage and increase the risk of cancer. It is important to carefully control and monitor ionization levels to ensure the safety of living organisms.

Similar threads

  • Astronomy and Astrophysics
2
Replies
49
Views
2K
Replies
2
Views
1K
Replies
46
Views
2K
Replies
5
Views
1K
Replies
5
Views
2K
  • Other Physics Topics
Replies
1
Views
1K
Replies
33
Views
2K
  • Classical Physics
Replies
6
Views
1K
Replies
2
Views
2K
Back
Top