136 citations · 323 across the 9 of their papers we have counts for
6 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…
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…
A proof of the Gibbs-Thomson formula in the droplet formation regime
Marek Biskup, Lincoln Chayes, Roman Kotecky
We study equilibrium droplets in two-phase systems at parameter values corresponding to phase coexistence. Specifically, we give a self-contained microscopic derivation of the Gibb…
Screening effect due to heavy lower tails in one-dimensional parabolic Anderson model
Marek Biskup, Wolfgang Koenig
We consider the large-time behavior of the solution to the parabolic Anderson problem with initial data $u(0,\cdot)=…