Anton Bovier, Immacolata Merola, Errico Presutti, Milo Zahradn k
On the Gibbs phase rule in the Pirogov-Sinai regime
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ABSTRACT.  We consider extended Pirogov-Sinai models including 
lattice and continuum particle systems with Kac potentials. Calling $\la$ an intensive 
variable conjugate to an extensive quantity $\al$ appearing in the Hamiltonian via 
the additive term $-\la\al$, 
 we prove that if a 
Pirogov-Sinai phase transition with order parameter $\al$ occurs 
at $\la=0$, then this is the only point 
 in an 
interval of values of $\la$ centered at 0, where phase transitions 
occur.