Aspects of the disordered harmonic chain
arXiv:2103.10848 · doi:10.1088/1751-8121/abe5cd
Abstract
We discuss the driven harmonic chain with fixed boundary conditions subject to weak coupling strength disorder. We discuss the evaluation of the Liapunov exponent in some detail expanding on the dynamical system theory approach by Levi et al. We show that including mass disorder the mass and coupling strength disorder can be combined in a renormalised mass disorder. We review the method of Dhar regarding the disorder-averaged heat current, apply the approach to the disorder-averaged large deviation function and finally comment on the validity of the Gallavotti-Cohen fluctuation theorem. The paper is also intended as an introduction to the field and includes detailed calculations.
22 pages, 7 figures, latex document
References in corpus (23)
- The large deviation approach to statistical mechanics
- Heat Transport in low-dimensional systems
- An Extension of the Fluctuation Theorem
- Nonequilibrium fluctuations in a resistor
- Stationary and Transient Work-Fluctuation Theorems for a Dragged Brownian Particle
- Heat transport in harmonic lattices
- Extended Heat-Fluctuation Theorems for a System with Deterministic and Stochastic Forces
- Power and heat fluctuation theorems for electric circuits
- Work fluctuation theorems for harmonic oscillators
- Work and heat probability distribution of an optically driven Brownian particle: Theory and experiments
- Measurement of Stochastic Entropy Production
- Effect of phonon-phonon interactions on localization
- Fluctuation relations for a driven Brownian particle
- Large deviations of heat flow in harmonic chains
- Probability density functions of work and heat near the stochastic resonance of a colloidal particle
- Heat transport in ordered harmonic lattices
- Heat conduction in disordered harmonic lattices with energy conserving noise
- Bound particle coupled to two thermostats
- Role of pinning potentials in heat transport through disordered harmonic chain
- Heat conduction and phonon localization in disordered harmonic crystals
- Non-monotonic disorder-induced enhanced tunneling
- Anomalous thermal properties of a harmonic chain with correlated isotopic disorder
- Ballistic Heat Conduction and Mass Disorder in One Dimension