Mean-field driven first-order phase transitions in systems with long-range interactions

Marek Biskup, Lincoln Chayes, Nicholas Crawford

We consider a class of spin systems on ${\mathbb{Z}}^d$ with vector valued spins $(\bS_x)$ that interact via the pair-potentials $J_{x,y} \bS_x\cdot\bS_y$. The interactions are generally spr…