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Statistical mechanics

Macrostate versus microstate

Macrostate Microstate
Describe using state variables Positions and velocities of all particles
Specified by U,V,N Specified by xi,vi
Entropy gives the most likely macrostate At constant temperature, each microstate has probability given by the Boltzmann distribution

Boltzmann distribution

This is a distribution that gives the probability of a microstate when the system is connected to a big system at temperature T.

P(microstate i)=eEi/kTjeEj/kT