Current fluctuations for anharmonic chains in thermal equilibrium

DOI10.1088/1742-5468/2015/03/P03007zbMath1456.82869arXiv1412.4609OpenAlexW1976781715WikidataQ59792947 ScholiaQ59792947MaRDI QIDQ3302209

Herbert Spohn, Christian B. Mendl

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4609

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70)

Related Items (14)

Current correlations, Drude weights and large deviations in a box–ball system ⋮ Nonlinear fluctuating hydrodynamics for the classical XXZ spin chain ⋮ Simulations of transport in hard particle systems ⋮ Perturbative solution for the spectral gap of the weakly asymmetric exclusion process ⋮ Low temperature dynamics of the one-dimensional discrete nonlinear Schrödinger equation ⋮ Dynamics of hard rods with initial domain wall state ⋮ Generalized Langevin equations for systems with local interactions ⋮ On the asymptotic behavior of the kernel function in the generalized Langevin equation: a one-dimensional lattice model ⋮ Shocks, rarefaction waves, and current fluctuations for anharmonic chains ⋮ Interacting and noninteracting integrable systems ⋮ Fluctuations in ballistic transport from Euler hydrodynamics ⋮ Generalized hydrodynamics of the classical Toda system ⋮ Diffusion and superdiffusion from hydrodynamic projections ⋮ Cumulants of conserved charges in GGE and cumulants of total transport in GHD: exact summation of matrix elements?

Cites Work

• Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process
• Exact scaling functions for one-dimensional stationary KPZ growth
• Estimating the Lieb-Robinson velocity for classical anharmonic lattice systems
• Current fluctuations for the asymmetric simple exclusion process
• Limiting distributions for a polynuclear growth model with external sources
• Stationary correlations for the 1D KPZ equation
• Nonlinear fluctuating hydrodynamics for anharmonic chains
• On the propagation of a perturbation in an anharmonic system
• Comment on a Paper of Mori on Time-Correlation Expressions for Transport Properties
• Limit process of stationary TASEP near the characteristic line

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