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Updated: Jul 23, 2025
05:20
Characterization of Thermal Transport in One-dimensional Solid Materials
Published on: January 26, 2014
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Nonanomalous heat transport in a one-dimensional composite chain
1ISAC-CNR and Istituto Nazionale di Fisica Nucleare, Section Cagliari, I-09042 Monserrato, Italy.
Physical Review. E
|July 19, 2023
Summary
Anomalous heat transport in translation-invariant systems can transition to normal diffusion. This study proposes a new mechanism where the transition scale may diverge, explaining diffusive transport in systems like the coupled-rotor chain.
Area of Science:
- Physics
- Condensed Matter Physics
- Statistical Mechanics
Background:
- Translation-invariant low-dimensional systems often exhibit anomalous heat transport.
- The coupled-rotor chain is an example where translation invariance does not lead to anomalous transport.
- Previous explanations for normal diffusion in such systems involve the lack of a global stretch variable dynamics.
Purpose of the Study:
- To propose an alternative mechanism for the transition to anomalous heat transport.
- To investigate the role of scale in the transition to anomalous heat transport.
- To analyze a composite chain model exhibiting both conserved quantities and Fourier's law.
Main Methods:
- Analytical investigation of a composite chain model.
- Analysis of energy and momentum conservation laws.
- Examination of the continuum limit and stationary temperature profiles.
Main Results:
- A mechanism is proposed where the transition scale to anomalous heat transport can diverge.
- The composite chain model conserves local energy, momentum, and global stretch.
- The model obeys Fourier's law in the continuum limit.
- Analytical results show a linear stationary temperature profile for vanishing and finite elasticity.
Conclusions:
- The proposed mechanism offers a new perspective on the transition from anomalous to normal heat transport.
- Scale-dependent transitions, potentially with diverging scales, can explain diffusive transport in translation-invariant systems.
- The composite chain model serves as an analytical example demonstrating these principles.
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