On convergence to equilibrium for one-dimensional chain of harmonic oscillators on the half-line

DOI10.1063/1.4979629zbMath1372.35352arXiv1504.05132OpenAlexW3103059899MaRDI QIDQ2981039

Tat'yana V. Dudnikova

Publication date: 8 May 2017

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

Full work available at URL: https://arxiv.org/abs/1504.05132

zbMATH Keywords

asymptotic behaviorGaussian distributionchainharmonic oscillator

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Hamilton's equations (70H05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Linear boundary value problems for ordinary differential equations (34B05) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (5)

Stabilization of statistical solutions for an infinite inhomogeneous chain of harmonic oscillators ⋮ Behavior for large time of a two-component chain of harmonic oscillators ⋮ On the energy current for the harmonic crystals in the half-space ⋮ Large-time behavior of an infinite system of harmonic oscillators on the half-line ⋮ Convergence to stationary states and energy current for infinite harmonic crystals

Cites Work

• Unnamed Item
• Unnamed Item
• On the convergence to a statistical equilibrium in the crystal coupled to a scalar field
• On the asymptotical normality of statistical solutions for harmonic crystals in half-space
• Spectral properties of Schrödinger operators and time-decay of the wave functions
• On some generalizations o f Bellman's lemma
• Ergodic properties of classical dissipative systems. I
• Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures
• Ergodic properties of the non-Markovian Langevin equation
• On two-temperature problem for harmonic crystals
• Dispersive estimates for 1D discrete Schrödinger and Klein–Gordon equations
• Mathematical Problems of Statistical Hydromechanics
• On the convergence to statistical equilibrium for harmonic crystals

This page was built for publication: On convergence to equilibrium for one-dimensional chain of harmonic oscillators on the half-line