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4 papers · 1 filter
Soft elasticity of RNA gels and negative Poisson ratio
Amir Ahsan, Joseph Rudnick, Robijn Bruinsma
We propose a model for the elastic properties of RNA gels. The model predicts anomalous elastic properties in the form of a negative Poisson ratio and shape instabilities. The anom…
The Brascamp-Lieb inequalities: finiteness, structure, and extremals
Jonathan Bennett, Anthony Carbery, Michael Christ +1
We consider the Brascamp--Lieb inequalities concerning multilinear integrals of products of functions in several dimensions. We give a complete treatment of the issues of finitenes…
A nonlocal continuum model for biological aggregation
Chad M. Topaz, Andrea L. Bertozzi, Mark A. Lewis
We construct a continuum model for biological aggregations in which individuals experience long-range social attraction and short range dispersal. For the case of one spatial dimen…
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…