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Updated: Aug 6, 2026
11:03
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.
Physical Review. E
|July 24, 2026
Summary
The late-time hydrodynamic tails in classical spin systems depend on critical exponents and thermodynamic properties. This finding extends the relaxation-overlap inequality to classical systems, enhancing our understanding of dynamics.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
Background:
- Hydrodynamic tails describe late-time behavior in classical spin systems.
- Understanding these tails is crucial for characterizing system dynamics.
Purpose of the Study:
- To determine the key factors governing the late-time hydrodynamic tails of autocorrelation functions in classical spin systems.
- To extend the relaxation-overlap inequality to the classical framework.
Main Methods:
- Numerical simulations in one- and two-dimensional systems.
- Theoretical analysis based on ergodicity.
- Comparison with quantum many-body systems.
Main Results:
- Identified dynamical critical exponent and equilibrium thermodynamic properties as determinants of hydrodynamic tails.
- Provided numerical evidence for one- and two-dimensional systems.
- Extended the relaxation-overlap inequality to classical systems.
Conclusions:
- The nature of late-time hydrodynamic tails is predictable from fundamental system properties.
- The study bridges concepts between classical and quantum many-body dynamics.
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