3-Boltzmann distribution law with their special cases (statistical mechanics)

Описание к видео 3-Boltzmann distribution law with their special cases (statistical mechanics)

The Boltzmann distribution law describes the distribution of particles in a system in thermal equilibrium based on their energy levels. It states that the probability of a system being in a particular state with energy \( E_i \) is proportional to the exponential of the negative of that energy divided by the thermal energy \( kT \):

\[ P(E_i) \propto e^{-E_i / kT} \]

where:
- \( P(E_i) \) is the probability of the system being in the state with energy \( E_i \),
- \( k \) is the Boltzmann constant,
- \( T \) is the absolute temperature of the system in Kelvin.

In other words, states with lower energy are exponentially more probable than states with higher energy.

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