Federbush, Paul
Published in
Journal of Statistical Physics

We consider two ensembles of 0-1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$0-1$$\end{document}n×n\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{was...

Derbyshev, A. E. Povolotsky, A. M.
Published in
Journal of Statistical Physics

We study the model of the totally asymmetric exclusion process with generalized update, which compared to the usual totally asymmetric exclusion process, has an additional parameter enhancing clustering of particles. We derive the exact multiparticle distributions of distances travelled by particles on the infinite lattice for two types of initial ...

Hairer, Martin Steele, Rhys
Published in
Journal of Statistical Physics

We provide a very simple argument showing that the Φ34\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Phi ^4_3$$\end{document} measure does have quartic exponential ta...

Henheik, Joscha Lauritsen, Asbjørn Bækgaard
Published in
Journal of statistical physics

We study the BCS energy gap Ξ in the high-density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (Math. Phys. Anal. Geom. 25, 3, 2022) on the critical temperature T c at high densities, we prove the universality of...

Tamura, Kensuke Katsura, Hosho
Published in
Journal of Statistical Physics

We present rigorous results for the SU(n) Fermi–Hubbard models with finite-range hopping in d (≥2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ge 2$$\end{document}) ...

Chen, Li Lee, Jinyeop Liew, Matthew
Published in
Journal of Statistical Physics

We study the time dependent Schrödinger equation for large spinless fermions with the semiclassical scale ħ=N-1/3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbar =...

Haimi, Antti Koliander, Günther Romero, José Luis

We study Gaussian random functions on the complex plane whose stochastics are invariant under the Weyl-Heisenberg group (twisted stationarity). The theory is modeled on translation invariant Gaussian entire functions, but allows for non-analytic examples, in which case winding numbers can be either positive or negative. We calculate the first inten...

Wand, Tobias
Published in
Journal of statistical physics

Using publicly available data from the football database transfermarkt.co.uk, it is possible to construct a trade network between football clubs. This work regards the network of the flow of transfer fees between European top league clubs from eight countries between 1992 and 2020 to analyse the network of each year's transfer market. With the tran...

Wirth, Melchior
Published in
Journal of statistical physics

In this article we study the noncommutative transport distance introduced by Carlen and Maas and its entropic regularization defined by Becker and Li. We prove a duality formula that can be understood as a quantum version of the dual Benamou-Brenier formulation of the Wasserstein distance in terms of subsolutions of a Hamilton-Jacobi-Bellmann equat...

Boyd, Alexander B Patra, Ayoti Jarzynski, Christopher Crutchfield, James P
Published in
Journal of statistical physics

Landauer's Principle states that the energy cost of information processing must exceed the product of the temperature, Boltzmann's constant, and the change in Shannon entropy of the information-bearing degrees of freedom. However, this lower bound is achievable only for quasistatic, near-equilibrium computations-that is, only over infinite time. In...