Transmission coefficient and heat conduction of a harmonic chain with random masses: Asymptotic estimates on products of random matrices

DOI10.1007/BF01562542zbMath0446.60056MaRDI QIDQ1145950

Theo Verheggen

Publication date: 1979

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

energy transportproducts of random matricesdisordered harmonic chainlarge-deviation-theorem for products of random matricesrandom masses

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Transport processes in time-dependent statistical mechanics (82C70) Random matrices (algebraic aspects) (15B52) Stochastic analysis (60H99)

Related Items (10)

Théorèmes limite pour les systèmes linéaires a coefficient markoviens. (Limit theorems for linear systems with Markovian coefficients) ⋮ Small perturbation of a disordered harmonic chain by a noise and an anharmonic potential ⋮ Rigorous scaling law for the heat current in disordered harmonic chain ⋮ Sur le spectre des opérateurs aux différences finies aléatoires ⋮ Hydrodynamic limit for a disordered harmonic chain ⋮ Heat transport and current fluctuations in harmonic crystals ⋮ The optimal spectral gap for regular and disordered harmonic networks of oscillators ⋮ Localization effects due to a random magnetic field on heat transport in a harmonic chain ⋮ Hydrodynamic limit for a disordered quantum harmonic chain ⋮ Derivation of Euler equations from quantum and classical microscopic dynamics

Cites Work

• Unnamed Item
• Unnamed Item
• A pure point spectrum of the stochastic one-dimensional Schrödinger operator
• A central limit theorem for the disordered harmonic chain
• On the singularity of the spectral measures of a semi-infinite random system

This page was built for publication: Transmission coefficient and heat conduction of a harmonic chain with random masses: Asymptotic estimates on products of random matrices