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Nonequilibrium steady states of long-range coupled harmonic chains
Francesco Andreucci1, Stefano Lepri2,3, Stefano Ruffo1,2
1SISSA and INFN, Sezione di Trieste, Via Bonomea 265, 34136 Trieste, Italy.
Physical Review. E
|September 19, 2023
Summary
This study reveals anomalous heat transport in long-range interacting chains. The heat current exhibits superdiffusive scaling due to the chain
Area of Science:
- Condensed matter physics
- Statistical mechanics
- Complex systems
Background:
- Understanding heat transport in low-dimensional systems is crucial for thermal management.
- Long-range interactions introduce complex behaviors not captured by simple models.
Purpose of the Study:
- To numerically investigate the transport properties of a 1D chain with power-law decaying interactions.
- To explore anomalous heat transport in the strong long-range regime (-1<σ<0).
Main Methods:
- Numerical simulations of a one-dimensional chain model.
- Analysis of energy flux and heat current under open boundary conditions.
- Investigation of the transmission spectrum and its fractal properties.
Main Results:
- Anomalous superdiffusive scaling of heat current with chain size observed.
- Departure from perturbative theory predictions at weak reservoir coupling.
- Self-similar structure in the transmission spectrum identified, with a σ-dependent fractal dimension.
Conclusions:
- The model exhibits non-trivial transport phenomena in the strong long-range regime.
- Anomalous scaling is linked to the fractal nature of the transmission spectrum.
- Further research into long-range interacting systems is warranted.
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