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Finite thermal conductivity in 1D lattices

Giardina1, Livi, Politi

  • 1Dipartimento di Fisica, via Irnerio 46, 40126 Bologna, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, Bologna, Italy.

Physical Review Letters
|October 4, 2000
PubMed
Summary

This study demonstrates that a 1D nonlinear lattice of coupled rotators exhibits normal thermal transport, a key finding for understanding heat diffusion in nonlinear systems without on-site potentials.

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Area of Science:

  • Physics
  • Condensed Matter Physics
  • Statistical Mechanics

Background:

  • Understanding thermal transport in one-dimensional (1D) nonlinear systems is crucial for various fields.
  • Previous models often required on-site potentials to exhibit normal transport properties.
  • The behavior of heat diffusion in nonlinear lattices remains an active area of research.

Purpose of the Study:

  • To investigate the thermal conductivity of a 1D nonlinear lattice of coupled rotators.
  • To determine if normal transport properties can be observed in the absence of an on-site potential.
  • To provide numerical and theoretical evidence for energy diffusion mechanisms.

Main Methods:

  • Simulating a chain of coupled rotators in contact with two thermal baths at different temperatures.

Related Experiment Videos

  • Employing linear response theory to estimate thermal conductivity.
  • Analyzing the dynamics of Fourier modes to observe energy diffusion.
  • Examining two variants of the model to confirm findings.

    • Main Results:

    • The coupled rotator chain is identified as the first 1D nonlinear lattice exhibiting normal transport without an on-site potential.
    • Numerical estimates for thermal conductivity align with predictions from linear response theory.
    • Direct evidence of energy diffusion was observed through the dynamics of Fourier modes.
    • The finiteness of thermal conductivity was attributed to the occurrence of phase jumps.

    Conclusions:

    • The coupled rotator model provides a fundamental example of normal heat transport in a 1D nonlinear system.
    • Phase jumps are identified as the critical factor limiting thermal conductivity in this model.
    • The findings are robust and confirmed by analyzing model variants.