Related Experiment Video
Updated: Aug 6, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Ergodicity and hydrodynamics: From quantum to classical spin systems
Jiaozi Wang1, Luca Capizzi2, Dario Poletti3,4,5,6
1University of Osnabrück, Department of Mathematics/Computer Science/Physics, D-49076 Osnabrück, Germany.
Abstract:
We show that in classical spin systems, the precise nature of the late-time hydrodynamic tails of the autocorrelation functions of a generic observable is determined by (i) the dynamical critical exponent and (ii) the equilibrium thermodynamic properties of the corresponding observable. We provide numerical results for one- and two-dimensional systems and present theoretical considerations that only rely on the notion of ergodicity. Our result extends to the classical framework the relaxation-overlap inequality, first introduced in [Phys. Rev. X 15, 011059 (2025)2160-330810.1103/PhysRevX.15.011059] for quantum many-body systems satisfying the eigenstate thermalization hypothesis.
Related Concept Videos
The Quantum-Mechanical Model of an Atom
Classical Mechanics
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
The de Broglie Wavelength
First Law: Particles in One-dimensional Equilibrium
Atomic Nuclei: Nuclear Spin State Overview
