Thanks! Would it then be correct to say that, due to neutrinos being relatively non interactive compared to other fermions, the thermal-equilibrium distribution cannot predict their distribution in a system?vanhees71 said:Neutrinos are indeed fermions. I'm not sure what you mean by "Fermi-Dirac distribution". Usually one understands it to be the thermal-equilibrium distribution,
$$f=\frac{1}{\exp(E/T)+1}.$$
Since neutrinos are very elusive guys, it's very hard to imagine to have them in thermal equilibrium. Of course, in the very early universe they in fact were in thermal equilibrium.
Neutrinos are subatomic particles that are electrically neutral and have a very small mass. They are produced by various nuclear reactions, such as those that occur in the Sun, and can also be created in high-energy collisions.
The Fermi-Dirac distribution is a mathematical model that describes the distribution of fermions (particles with half-integer spin) in a system at thermal equilibrium. Neutrinos are fermions, so the Fermi-Dirac distribution can be used to describe their behavior and interactions at the subatomic level.
Neutrinos are difficult to detect because they have a very small mass and interact very weakly with other particles. This means they can pass through matter without leaving a trace, making them almost impossible to detect directly.
Scientists study neutrinos by using large detectors, such as underground tanks filled with liquid or special instruments placed in deep mines or underwater. These detectors can measure the tiny amount of light or heat produced when a neutrino interacts with other particles, providing information about their properties.
Neutrinos and the Fermi-Dirac distribution have important implications in particle physics, as they can help us understand the fundamental building blocks of the universe and the interactions between them. The study of neutrinos also has potential applications in fields such as astrophysics and cosmology, as they can provide insight into the workings of stars and galaxies.