Macroscopic energy diffusion for a chain of anharmonic oscillators

Stefano Olla, Makiko Sasada

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We study the energy diffusion in a chain of anharmonic oscillators where the Hamiltonian dynamics is perturbed by a local energy conserving noise. We prove that under diffusive rescaling of space-time, energy fluctuations diffuse and evolve following an infinite dimensional linear stochastic differential equation driven by the linearized heat equation. We also give variational expressions for the thermal diffusivity and some upper and lower bounds.

Original languageEnglish
Pages (from-to)721-775
Number of pages55
JournalProbability Theory and Related Fields
Volume157
Issue number3-4
DOIs
Publication statusPublished - 2013 Dec

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Anharmonic Oscillator
Energy
Thermal Diffusivity
Hamiltonian Dynamics
Rescaling
Heat Equation
Stochastic Equations
Upper and Lower Bounds
Space-time
Fluctuations
Differential equation

ASJC Scopus subject areas

  • Statistics and Probability
  • Analysis
  • Statistics, Probability and Uncertainty

Cite this

Macroscopic energy diffusion for a chain of anharmonic oscillators. / Olla, Stefano; Sasada, Makiko.

In: Probability Theory and Related Fields, Vol. 157, No. 3-4, 12.2013, p. 721-775.

Research output: Contribution to journalArticle

Olla, Stefano ; Sasada, Makiko. / Macroscopic energy diffusion for a chain of anharmonic oscillators. In: Probability Theory and Related Fields. 2013 ; Vol. 157, No. 3-4. pp. 721-775.
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