Why phase transition not possible in one dimension?

[supratimmitra]

can anybody tell me why in general phase transition is not possible in one dimension? and for a lattice gas at low temp. why it requires long range order to occur phase transition?

 

[Andy Resnick]

That's a good question, and I'm not sure of the answer. What you say sounds familiar, but I'm not sure it's true- my copy of Chaikin and Lubensky "condensed matter" is in my office so I can't check right now...