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Updated: Nov 9, 2025
05:20
Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
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Thermalization in the one-dimensional Salerno model lattice
Thudiyangal Mithun1, Aleksandra Maluckov2,3, Bertin Many Manda4
1Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA.
Physical Review. E
|April 17, 2021
Summary
This study explores the statistical mechanics of the Salerno model, revealing how varying parameters expand thermalization regions. Finite system size significantly impacts thermalization in non-Gibbs regimes.
Area of Science:
- Statistical mechanics
- Nonlinear physics
- Condensed matter theory
Background:
- The Salerno model interpolates between integrable (Ablowitz-Ladik) and nonintegrable (discrete nonlinear Schrödinger) models.
- Thermalization is governed by the interplay of local on-site nonlinearity and nonlinear dispersion.
Purpose of the Study:
- Investigate the statistical mechanics of the 1D Salerno lattice in the nonintegrable regime.
- Illustrate thermalization within the Gibbs regime.
- Analyze the impact of varying interpolation parameters on thermalization.
Main Methods:
- Statistical mechanics analysis.
- Direct numerical computations for finite systems.
- Exploration of different parametric regimes.
Main Results:
- The region leading to thermalization expands as the parameter shifts from DNLS towards AL.
- Thermalization in the non-Gibbs regime is highly dependent on finite system size.
- Demonstration of thermalization in the Gibbs regime.
Conclusions:
- The Salerno model exhibits complex thermalization dynamics influenced by nonlinearity, dispersion, and system parameters.
- Finite-size effects are crucial for understanding thermalization in non-Gibbs regimes.
- The study provides insights into the statistical mechanics of interpolating nonlinear lattice models.
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