# Boltzmann's entropy/ Microcanonical Entropy

1. Mar 28, 2013

### Abigale

Hey guys,
And got a question.

The boltzmann entropy is defined by:

$S=k\cdot \ln{W}$

$W$ is the number of microstates connected to an given macrostate.

The entropy of the microcanonical ensemble(fixed given Energy) is defined by

$S=k \cdot \ln{\Omega}$

$\Omega$ is called the partition function and is also the number of microstates.

Thus i don't understand the difference between the two definition.
Is the microcanonical entropy a special case of the boltzmann entropy?

Thanks a bunch!
Bye
Abigale

2. May 31, 2013

### erm

I'm pretty shure they're both the same.