**Authors**:
G.Gallavotti

**Title**:
*The Phase Separation Line in the Two-Dimensional Ising Model
*

Communication in Mathematical Physics, **27**, 103--136, 1972.

**Abstract:** We prove that, at low temperature,
the line of separation between the two pure phases shows large
fluctuations in shape. This implies the translation invariance of the
correlation functions associated with some non translation invariant
boundary conditions and should be a peculiarity of the dimensionality
of the model.

**Key words: **
Statistical Mechanics, Ising model, Phase coexistence, Surface
tension, Random phase boundary, Microscopic phase separation

Giovanni Gallavotti

Fisica, Universita' di Roma 1

P.le Moro 2

00185 Roma, Italia

tel +39-06-4991-4370

fax +39-06-4957697

em: giovanni.gallavotti@roma1.infn.it

http://ipparco.roma1.infn.it