Boltzmann equation

[Jeremiah Betito 3A]

Can someone elaborate on boltzmann equation? In my notes, I jotted that its the relationship btwn W and entropy and the equation S = kBlnW. What would be an example of a scenario that would use boltzmann equation and is there anything I need to know on when to use it?

[Eugene Chung 3A]

You can use the equation to study the behavior of the thermodynamic system when it's NOT at equilibrium.
W is the degeneracy (different ways a particle can take up space/micro states while keeping the same energy). An increase in W correlates with higher entropy.