51 citations · 58 across the 3 of their papers we have counts for
4 papers · 1 filter
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 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…
Colligative properties of solutions: II. Vanishing concentrations
Kenneth Alexander, Marek Biskup, Lincoln Chayes
We continue our study of colligative properties of solutions initiated in math-ph/0407034. We focus on the situations where, in a system of linear size , the concentration and t…
Colligative properties of solutions: I. Fixed concentrations
Kenneth Alexander, Marek Biskup, Lincoln Chayes
Using the formalism of rigorous statistical mechanics, we study the phenomena of phase separation and freezing-point depression upon freezing of solutions. Specifically, we devise…
Partition function zeros at first-order phase transitions: Pirogov-Sinai theory
Marek Biskup, Christian Borgs, Jennifer T. Chayes +1
This paper is a continuation of our previous analysis [BBCKK] of partition functions zeros in models with first-order phase transitions and periodic boundary conditions. Here it is…