From shannon's entropy to thermodynamics

[enricfemi]

i am trying to figure out the relationship between shannon's entropy and boltzmann's s=kInw.

can anyone help me?

 

[atyy]

Shannon=sum(-plnp)

Set p=constant (all possibilities are equal) and you get the microcanonical ensemble where all microstates consistent with the total energy are equally possible.

 

[enricfemi]

Thank you!