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Updated: Oct 29, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Long range correlations and slow time scales in a boundary driven granular model
Andrea Plati1, Andrea Puglisi2,3
1Dipartimento di Fisica, Università di Roma Sapienza, P.le Aldo Moro 2, 00185, Rome, Italy. andrea.plati@uniroma1.it.
Boundary-driven lattices exhibit scale-free spatial correlations and long time-scales. Bulk-coupled systems show exponential decay, with correlation length growing diffusively in free cooling regimes.
Area of Science:
- Statistical Physics
- Condensed Matter Physics
- Non-equilibrium Systems
Background:
- Investigates a one-dimensional lattice with linear viscous interactions.
- Explores coupling with Brownian baths at boundary and bulk sites.
- Examines non-equilibrium steady states and free-cooling dynamics.
Purpose of the Study:
- Analyze spatial and temporal correlations in driven lattice systems.
- Determine the impact of boundary versus bulk driving on system dynamics.
- Establish analogies with granular materials and active matter.
Main Methods:
- Analytical diagonalization of system equations in the infinite size limit.
- Derivation of analytical results for spatial and temporal correlations.
- Comparison of boundary-driven and bulk-coupled scenarios.
Main Results:
- Boundary driving leads to scale-free spatial correlations and long time-scales.
- Bulk coupling results in exponential correlation decay with finite characteristic length.
- Free cooling regime shows diffusive growth of correlation length over time.
Conclusions:
- Boundary driving is crucial for long-range correlations and slow dynamics.
- The model provides insights into dense vibro-fluidized granular materials.
- Suggests connections to active matter and further model generalizations.
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