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Condensed Matter > Statistical Mechanics

Title: Nonanomalous heat transport in a one-dimensional composite chain

Authors: Piero Olla
Abstract: Translation-invariant low-dimensional systems are known to exhibit anomalous heat transport. However, there are systems, such as the coupled-rotor chain, where translation invariance is satisfied, yet transport remains diffusive. It has been argued that the restoration of normal diffusion occurs due to the impossibility of defining a global stretch variable with a meaningful dynamics. In this Letter, an alternative mechanism is proposed, namely, that the transition to anomalous heat transport can occur at a scale that, under certain circumstances, may diverge to infinity. To illustrate the mechanism, I consider the case of a composite chain that conserves local energy and momentum as well as global stretch, and at the same time obeys, in the continuum limit, Fourier's law of heat transport. It is shown analytically that for vanishing elasticity the stationary temperature profile of the chain is linear; for finite elasticity, the same property holds in the continuum limit.
Comments: 7 pages 1 figure; supplemental material included
Subjects: Statistical Mechanics (cond-mat.stat-mech)
Journal reference: Phys. Rev. E 107, L062104 (2023)
DOI: 10.1103/PhysRevE.107.L062104
Cite as: arXiv:2302.04561 [cond-mat.stat-mech]
  (or arXiv:2302.04561v2 [cond-mat.stat-mech] for this version)

Submission history

From: Piero Olla [view email]
[v1] Thu, 9 Feb 2023 10:59:00 GMT (15kb)
[v2] Wed, 28 Jun 2023 15:44:19 GMT (18kb)

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