The cluster expansion 

Excellent lecture, very lucid and ordered.

Thank you! Very clear and helpful! Helped me understand this part is Kardar's book.

Excellent vid. It was very useful to me. Thank you!

This is awesome! Thank you very much for the upload. I found this really helpful. We used the virial expansion in my physics of macromolecules class but we didn't have time to go over its derivation.

Dear Lokesh, I have used a mixture of sources: the books by Peliti, Pathria, and old lecture notes.

I am a beginner to advanced statistical mechanics, would you mind making a playlist so that I can know the sequence of learning the subject? Thanks a lot.

I like to add that the cluster theory and van der Waals equation of state assume a radial uniform potential, this implies that the particles are spherical. For that reason this approach leads to an equation of state that is valid for spherical molecules. Nobel gases, and methane can therefore well described by these equations of states. Deviation starts for non-spherical molecules, which is the majority of molecules in daily life.

i am currently busy with a code called UNCLE (universal cluster expansion) and i am unable to discuss the ternary ground state diagram in details and been searching for for journals that can help me in that regard and with no success.

Which book did u use?