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 (5)

• Heat Transport in low-dimensional systems
• A momentum conserving model with anomalous thermal conductivity in low dimension
• Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
• Energy transport in stochastically perturbed lattice dynamics
• Current and density fluctuations for interacting particle systems with anomalous diffusive behavior

Cited by in corpus (1)

• On energy solutions to stochastic Burgers equation