Heat wave propagation in a nonlinear chain

Abstract

We investigate the propagation of temperature perturbations in an array of coupled nonlinear oscillators at finite temperature. We evaluate the response function at equilibrium and show how the memory effects affect the diffusion properties. A comparison with nonequilibrium simulations reveals that the telegraph equation provides a reliable interpretative paradigm for describing quantitatively the propagation of a heat pulse at the macroscopic level. The results could be of help in understanding and modeling energy transport in individual nanotubes.

Revised version, 1 fig. added

References in corpus (9)

• Thermal conduction in classical low-dimensional lattices
• Heat conduction in one dimensional chains
• From anomalous energy diffusion to Levy walks and heat conductivity in one-dimensional systems
• Bulk Properties of Anharmonic Chains in Strong Thermal Gradients: Non-Equilibrium ${\varphi }^4$ Theory
• Towards deterministic equations for Levy walks: the fractional material derivative
• Energy Transport in Weakly Anharmonic Chains
• Optimized Forest-Ruth- and Suzuki-like algorithms for integration of motion in many-body systems
• Energy diffusion in hard-point systems
• Slow Relaxation and Phase Space Properties of a Conservative System with Many Degrees of Freedom

Cited by in corpus (6)

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• Thermal conductivities of one-dimensional anharmonic/nonlinear lattices: renormalized phonons and effective phonon theory
• Unsteady ballistic heat transport in infinite harmonic crystals
• Nonstationary heat conduction in one-dimensional models with substrate potential
• Hydrodynamics and transport in the long-range-interacting ${\phi }^4$ chain
• Computing Nonequilibrium Transport from Short-Time Transients: From Lorentz Gas to Heat Conduction in One Dimensional Chains