Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions [0.03%]
短程相互作用系统中哈尔丹伪势的出现
Robert Seiringer,Jakob Yngvason
Robert Seiringer
In the setting of the fractional quantum Hall effect we study the effects of strong, repulsive two-body interaction potentials of short range. We prove that Haldane's pseudo-potential operators, including their pre-factors, emerge as mathem...
Long Paths in First Passage Percolation on the Complete Graph II. Global Branching Dynamics [0.03%]
关于完整图上的首过渗流II.全局分支动力学的长路径研究
Maren Eckhoff,Jesse Goodman,Remco van der Hofstad et al.
Maren Eckhoff et al.
We study the random geometry of first passage percolation on the complete graph equipped with independent and identically distributed positive edge weights. We consider the case where the lower extreme values of the edge weights are highly ...
Antti Kupiainen,Joona Oikarinen
Antti Kupiainen
We construct the stress-energy tensor correlation functions in probabilistic Liouville conformal field theory (LCFT) on the two-dimensional sphere S 2 by studying the variation of the LCFT correlation functions with respect to a smooth Ri...
Alessandro Giuliani,Vieri Mastropietro,Marcello Porta
Alessandro Giuliani
The Haldane model is a paradigmatic 2d lattice model exhibiting the integer quantum Hall effect. We consider an interacting version of the model, and prove that for short-range interactions, smaller than the bandwidth, the Hall conductivity...
Elliott H Lieb,Robert Seiringer
Elliott H Lieb
We consider the Fröhlich model of a polaron, and show that its effective mass diverges in the strong coupling limit. Keywords:...
Hypocoercivity and Fast Reaction Limit for Linear Reaction Networks with Kinetic Transport [0.03%]
线性反应网络的低强制性和快速反应极限（带有动力传输）
Gianluca Favre,Christian Schmeiser
Gianluca Favre
The long time behavior of a model for a first order, weakly reversible chemical reaction network is considered, where the movement of the reacting species is described by kinetic transport. The reactions are triggered by collisions with a n...
Carl P Dettmann,Jens Marklof,Andreas Strömbergsson
Carl P Dettmann
The perceived randomness in the time evolution of "chaotic" dynamical systems can be characterized by universal probabilistic limit laws, which do not depend on the fine features of the individual system. One important example is the Poisso...
Mark Pollicott
Mark Pollicott
In recent papers, Kenyon et al. (Ergod Theory Dyn Syst 32:1567-1584 2012), and Fan et al. (C R Math Acad Sci Paris 349:961-964 2011, Adv Math 295:271-333 2016) introduced a form of non-linear thermodynamic formalism based on solutions to a ...
Paul Chleboun,Stefan Grosskinsky,Andrea Pizzoferrato
Paul Chleboun
We study lower large deviations for the current of totally asymmetric zero-range processes on a ring with concave current-density relation. We use an approach by Jensen and Varadhan which has previously been applied to exclusion processes, ...
Statistical Mechanics and the Climatology of the Arctic Sea Ice Thickness Distribution [0.03%]
统计力学与北极海冰厚度分布的气候学
Srikanth Toppaladoddi,J S Wettlaufer
Srikanth Toppaladoddi
We study the seasonal changes in the thickness distribution of Arctic sea ice, g(h), under climate forcing. Our analytical and numerical approach is based on a Fokker-Planck equation for g(h) (Toppaladoddi and Wettlaufer in Phys Rev Lett 11...