Thermal transport in long-range interacting harmonic chains perturbed by long-range conservative noise
arXiv:2409.11832 · doi:10.1007/s10955-024-03383-9
Abstract
We study non-equilibrium properties of a chain of oscillators with both long-ranged harmonic interactions and long-range conservative noise that exchange momenta of particle pairs. We derive exact expressions for the (deterministic) energy-current auto-correlation at equilibrium, based on the kinetic approximation of the normal mode dynamics. In all cases the decay is algebraic in the thermodynamic limit. We distinguish four distinct regimes of correlation decay depending on the exponents controlling the range of deterministic and stochastic interactions. Surprisingly, we find that long-range noise breaks down the long-range correlations characteristic of low dimensional models, suggesting a normal regime in which heat transport becomes diffusive. For finite systems, we do also derive exact expressions for the finite-size corrections to the algebraic decay of the correlation. In certain regimes, these corrections are considerably large, rendering hard the estimation of transport properties from numerical data for the finite chains. Our results are tested against numerical simulations, performed with an efficient algorithm.
arXiv commentSubmitted to Journal of Statistical Physics
References in corpus (20)
- Thermal conduction in classical low-dimensional lattices
- Statistical mechanics and dynamics of solvable models with long-range interactions
- Heat Transport in low-dimensional systems
- Nonlinear fluctuating hydrodynamics for anharmonic chains
- A momentum conserving model with anomalous thermal conductivity in low dimension
- Controlling and measuring quantum transport of heat in trapped-ion crystals
- Thermal Conductivity for a Momentum Conserving Model
- Energy transport in stochastically perturbed lattice dynamics
- A stochastic model of anomalous heat transport: analytical solution of the steady state
- Anomalous heat transport in classical many-body systems: overview and perspectives
- Non-Fourier heat transport in nanosystems
- Harmonic Systems With Bulk Noises
- Anomalous fluctuations for a perturbed Hamiltonian system with exponential interactions
- Equilibrium time-correlation functions of the long-range interacting Fermi-Pasta-Ulam model
- Nonlinear Excitations in Magnetic Lattices with Long-Range Interactions
- Nonequilibrium dynamics of a stochastic model of anomalous heat transport: numerical analysis
- Thermal conductivity of the Toda lattice with conservative noise
- Harmonic chain with velocity flips: thermalization and kinetic theory
- Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions
- Thermalization of isolated harmonic networks under conservative noise