Correlation functions for a chain of short range oscillators

DOI10.1007/s10955-021-02735-zzbMath1473.82018arXiv2010.09612OpenAlexW3138767501MaRDI QIDQ2020624

G. Mazzuca, Tamara Grava, Kenneth T.-R. McLaughlin, Thomas Kriecherbauer

Publication date: 23 April 2021

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09612

zbMATH Keywords

anharmonic chainsshort range interactionsharmonic chainsAiry scalingequilibrium time correlationsPearcey scaling

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation ⋮ Equilibrium spacetime correlations of the Toda lattice on the hydrodynamic scale ⋮ The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain

Uses Software

• GitHub

Cites Work

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• Low temperature dynamics of the one-dimensional discrete nonlinear Schrödinger equation
• Locating the zeros of partial sums of exp(z) with Riemann-Hilbert methods
• Ballistic space-time correlators of the classical toda lattice

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