From normal diffusion to superdiffusion of energy in the evanescent flip noise limit

Abstract

We consider a harmonic chain perturbed by an energy conserving noise depending on a parameter $\gamma$. When $\gamma$ is of order one, the energy diffuses according to the standard heat equation after a space-time diffusive scaling. On the other hand, when $\gamma =0$, the energy superdiffuses according to a 3/4 fractional heat equation after a subdiffusive space-time scaling. In this paper, we study the existence of a crossover between these two regimes as a function of $\gamma$.

References in corpus (13)

• Thermal conduction in classical low-dimensional lattices
• Heat Transport in low-dimensional systems
• Nonlinear fluctuating hydrodynamics for anharmonic chains
• Exact results for anomalous transport in one dimensional Hamiltonian systems
• A momentum conserving model with anomalous thermal conductivity in low dimension
• Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
• Thermal Conductivity for a Momentum Conserving Model
• Energy transport in stochastically perturbed lattice dynamics
• Anomalous diffusion for a class of systems with two conserved quantities
• Anomalous fluctuations for a perturbed Hamiltonian system with exponential interactions
• From a kinetic equation to a diffusion under an anomalous scaling
• Energy Diffusion in Harmonic System with Conservative Noise
• Current and density fluctuations for interacting particle systems with anomalous diffusive behavior

Cited by in corpus (9)

• 3/4 Fractional superdiffusion of energy in a system of harmonic oscillators perturbed by a conservative noise
• Crossover to the stochastic Burgers equation for the WASEP with a slow bond
• Nonlinear Perturbation of a Noisy Hamiltonian Lattice Field Model: Universality Persistence
• Anomalous heat equation in a system connected to thermal reservoirs
• Equilibrium fluctuation for an anharmonic chain with boundary conditions in the Euler scaling limit
• On energy solutions to stochastic Burgers equation
• From ABC to KPZ
• Superdiffusion transition for a phonon Boltzmann equation
• Non-equilibrium stationary properties of the boundary driven zero-range process with long jumps