Modulating heat conduction by stretching or compressing

Abstract

Recent studies have revealed that the symmetry of interparticle potential plays an important role in one-dimensional heat conduction problem. Here we demonstrate that by stretching or compressing the Fermi-Pasta-Ulam-\b{eta} lattice, one can control the symmetry of the potential, and thus manipulate the decaying behavior of the heat current autocorrelation function (HCAF). In fact, stretching or compressing induces a fast decaying stage (FDS) during which the HCAF decays faster than power-law manners or in a power law manner but faster than ~t -1. The time range as well as the decay amplitude of the HCAF over the FDS increase as the stretching or compressing ratio increase, or as the temperature decreases. As a consequence, the thermal conductivity calculated following the Green-Kubo formula shows a truncation-time independent window, implying a system-size independent conductivity. Stretching or compressing also changes the exponent of the power-law tail of the HCAF. The complicated heat conduction behavior induced by stretching or compressing can be connected to the change of the symmetry of the interparticle potential.

10 pages, 3 figures

References in corpus (7)

• Heat Transport in low-dimensional systems
• Local Temperature and Universal Heat Conduction in FPU chains
• Numerical test of hydrodynamic fluctuation theory in the Fermi-Pasta-Ulam chain
• Self-Consistent Mode-Coupling Approach to 1D Heat Transport
• Universality of One-Dimensional Heat Conductivity
• Detailed Examination of Transport Coefficients in Cubic-Plus-Quartic Oscillator Chains
• Crossover from Fermi-Pasta-Ulam to normal diffusive behaviour in heat conduction through open anharmonic lattices

Cited by in corpus (6)

• Crossover from ballistic to normal heat transport in the ${\varphi }^4$ lattice: If nonconservation of momentum is the reason, what is the mechanism?
• Effect of pressure on thermalization of one-dimensional nonlinear chains
• Anomalous temperature-dependent heat transport in one-dimensional momentum-conserving systems with soft-type interparticle interaction
• Universal scaling for recovery of Fourier's law in low-dimensional solids under momentum conservation
• From Near-Integrable to Far-from-Integrable: A Unified Picture of Thermalization and Heat Transport
• Thermalization in asymmetric harmonic chains