Difference between maxwell boltzmann fermi dirac and bose einstein statistics
Answers
These three statistics concern when we speak about how particles occupy a system which consists of several energy levels (and each energy level could also have several energy states). A particle in this system can be in one of those energy levels depending on the energy particle has. It’s impossible to have just one particle in a system since in real life it needs numerous particle to constitute a system. They occupy the levels under a statistics rule. There are three statistics:
Particles which are regulated by Maxwell-Boltzmann Statistics have to be distinguishable each other and one energy state can be occupied by two or more particles. Distinguishable means that if we have 2 particles, let say A and B, also two states, 1 and 2, and we put A to state 1 and B to state 2, it will be different with the distribution A to state 2 and B to state 1. It means that A and B are distinct.
Particles which are regulated by Bose-Einstein Statistics have to be indistinguishable each other and one energy state can be occupied by two or more particles. So instead of saying it as particle A or B, we call it as just “particle” since they are the same thing.
Particles which are regulated by Fermi-Dirac Statistics have to be indistinguishable each other and one energy state can be occupied by only one particle. So we have to fill it to another state when a state has just been occupied by another particle.
When do they apply? Actually it depends on the system you are dealing with. In Physics there are a lot of system that use those systems. For instance classical gas satisfies Maxwell-Boltzmann Statistics, photon system satisfies Bose-Einstein Statistics, electron system satisfies Fermi-Dirac Statistics, and so on.
Correction: It should be: photon in BE Statistics and electron in FD Statistics. Thank you for correction