The optimal spectral gap for regular and disordered harmonic networks of oscillators
From MaRDI portal
Publication:2056411
DOI10.1016/j.jfa.2021.109286zbMath1490.82015arXiv2009.06572OpenAlexW3209929512MaRDI QIDQ2056411
Simon Becker, Angeliki Menegaki
Publication date: 2 December 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.06572
Fokker-Planck equationSchrödinger operatorsspectral gapharmonic chain of oscillatorsnon-Hermitian perturbation
Interacting particle systems in time-dependent statistical mechanics (82C22) Eigenvalues, singular values, and eigenvectors (15A18) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Entropic fluctuations in thermally driven harmonic networks
- Rigorous scaling law for the heat current in disordered harmonic chain
- A new proof of localization in the Anderson tight binding model
- How hot can a heat bath get?
- Absence of diffusion in the Anderson tight binding model for large disorder or low energy
- Localization for off-diagonal disorder and for continuous Schrödinger operators
- Transmission coefficient and heat conduction of a harmonic chain with random masses: Asymptotic estimates on products of random matrices
- Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures
- Entropy production in nonlinear, thermally driven Hamiltonian systems
- Exponential convergence to non-equilibrium stationary states in classical statistical mechanics
- Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators.
- Non-equilibrium steady states for networks of oscillators
- Hydrodynamic limit for a disordered harmonic chain
- A note on Harris' ergodic theorem, controllability and perturbations of harmonic networks
- Generalized \(\Gamma\) calculus and application to interacting particles on a graph
- Spectrum of Ornstein-Uhlenbeck operators in \(L ^{p}\) spaces with respect to invariant measures
- Almost-Hermitian random matrices: Eigenvalue density in the complex plane
- Quantitative rates of convergence to non-equilibrium steady state for a weakly anharmonic chain of oscillators
- On the relaxation rate of short chains of rotors interacting with Langevin thermostats
- Existence and uniqueness of an invariant measure for a chain of oscillators in contact with two heat baths
- Simplicity of eigenvalues in the Anderson model
- Hypoelliptic second order differential equations
- Large-time behavior in non-symmetric Fokker-Planck equations
- Non-equilibrium steady state and subgeometric ergodicity for a chain of three coupled rotors
- Hypocoercivity
- One-dimensional wave equations in disordered media
- Slow energy dissipation in anharmonic oscillator chains