51 citations · 121 across the 5 of their papers we have counts for
5 papers
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…
Order by disorder, without order, in a two-dimensional spin system with O(2) symmetry
Marek Biskup, Lincoln Chayes, Steven A. Kivelson
We present a rigorous proof of an ordering transition for a two-component two-dimensional antiferromagnet with nearest and next-nearest neighbor interactions. The low-temperature p…
Orbital ordering in transition-metal compounds: I. The 120-degree model
Marek Biskup, Lincoln Chayes, Zohar Nussinov
We study the classical version of the 120-degree model. This is an attractive nearest-neighbor system in three dimensions with XY (rotor) spins and interaction such that only a par…