3/4 Fractional superdiffusion of energy in a system of harmonic oscillators perturbed by a conservative noise

Abstract

We consider a harmonic chain perturbed by an energy conserving noise and show that after a space-time rescaling the energy-energy correlation function is given by the solution of a skew-fractional heat equation with exponent 3/4.

References in corpus (8)

• Heat Transport in low-dimensional systems
• A momentum conserving model with anomalous thermal conductivity in low dimension
• Nonlinear Fluctuating Hydrodynamics in One Dimension: the Case of Two Conserved Fields
• Superdiffusion of energy in a chain of harmonic oscillators with noise
• Energy transport in stochastically perturbed lattice dynamics
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• Anomalous energy transport in FPU-$\beta$ chain

Cited by in corpus (22)

• Nonlinear Fluctuating Hydrodynamics in One Dimension: the Case of Two Conserved Fields
• Superdiffusion of energy in a chain of harmonic oscillators with noise
• Anomalous heat transport in classical many-body systems: overview and perspectives
• Anomalous heat transport in one dimensional systems: a description using non-local fractional-type diffusion equation
• A violation of universality in anomalous Fourier's law
• Exact confirmation of 1D nonlinear fluctuating hydrodynamics for a two-species exclusion process
• Crossover to the stochastic Burgers equation for the WASEP with a slow bond
• Kardar-Parisi-Zhang Universality of the Nagel-Schreckenberg Model
• Fractional diffusion equation description of an open anomalous heat conduction set-up
• Temperature profile and boundary conditions in an anomalous heat transport model
• Anomalous energy transport in FPU-$\beta$ chain
• Thermal conductivity for coupled charged harmonic oscillators with noise in a magnetic field
• Nonlinear Perturbation of a Noisy Hamiltonian Lattice Field Model: Universality Persistence
• Anomalous heat equation in a system connected to thermal reservoirs
• A lattice gas model for generic one-dimensional Hamiltonian Systems
• KPZ modes in $d$-dimensional directed polymers
• 5/6-Superdiffusion of energy for coupled charged harmonic oscillators in a magnetic field
• Equilibrium fluctuation for an anharmonic chain with boundary conditions in the Euler scaling limit
• Superballistic and superdiffusive scaling limits of stochastic harmonic chains with long-range interactions
• Super-diffusion and crossover from diffusive to anomalous transport in a one-dimensional system
• Quest for the golden ratio universality class
• Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps