Graded anharmonic crystals as genuine thermal diodes: Analytical description of rectification and negative differential thermal resistance
arXiv:1101.4589 · doi:10.1103/PhysRevE.82.040101
Abstract
We address the heat flow study starting from microscopic models of matter: we develop an approach and investigate some anharmonic graded mass crystals, with weak interparticle interactions. We calculate the thermal conductivity, and show the existence of rectification and negative differential thermal resistance. Our formalism allows us to understand the mechanism behind the phenomena, and shows that the properties of graded materials make them genuine thermal diodes.
References in corpus (10)
- Heat Transport in low-dimensional systems
- Thermal Logic Gates: Computation with phonons
- Thermal rectification and negative differential thermal resistance in lattices with mass gradient
- Carbon Nanocone: A Promising Thermal Rectifier
- Sufficient conditions for thermal rectification in hybrid quantum structures
- Origin of negative differential thermal resistance in a chain of two weakly coupled nonlinear lattices
- Magnetically Induced Thermal Rectification
- Thermal Rectification in Billiard-like Systems
- Heat Conduction and Entropy Production in Anharmonic Crystals with Self-Consistent Stochastic Reservoirs
- Normal Heat Conduction in a Chain with Weak Interparticle Anharmonic Potential
Cited by in corpus (34)
- Thermal rectification in thickness-asymmetric graphene nanoribbons
- Nonlinear thermal transport and negative differential thermal conductance in graphene nanoribbons
- Sufficient conditions for thermal rectification in graded materials
- Heat Diode Effect and Negative Differential Thermal Conductance across Nanoscale Metal-Dielectric Interfaces
- Quantum heat transfer in harmonic chains with self consistent reservoirs: Exact numerical simulations
- Thermal Rectification in Graded Materials
- Increasing thermal rectification: Effects of long range interactions
- Energy Rectification in Quantum Graded Spin Chains: Analysis of the XXZ Model
- Double negative differential thermal resistance induced by the nonlinear on-site potentials
- Rectification of heat currents across nonlinear quantum chains: A versatile approach beyond weak thermal contact
- Thermal rectification and negative differential thermal conductance in harmonic chains with nonlinear system-bath coupling
- Dimension dependence of negative differential thermal resistance in graphene nanoribbons
- Rectification and One-Way Street for the Energy Current in Boundary-Driven Asymmetric Quantum Spin Chains
- Anomalous negative differential thermal resistance in a momentum-conserving lattice
- Thermal rectification in anharmonic chains under an energy-conserving noise
- Thermal Rectification in Classical and Quantum Systems: Searching for Efficient Thermal Diodes
- Thermal rectification in the thermodynamic limit
- Asymmetric Heat Transport in Ion Crystals
- Existence of negative differential thermal conductance in one-dimensional diffusive thermal transport
- Perturbation theory of thermal rectification
- Waiting-times statistics in boundary driven free fermion chains
- Rectification induced by geometry in two-dimensional quantum spin lattices
- One-way street for the energy current: A ubiquitous phenomenon in boundary-driven quantum spin chains
- Simple analytical model of a thermal diode
- Thermal rectification in oscillator lattices with a ballistic spacer and next nearest-neighbor interactions
- Quantum Thermal Amplifiers with Engineered Dissipation
- Thermal rectification in three-dimensional mass-graded anharmonic oscillator lattices
- Environment dependent vibrational heat transport in molecular Junctions : Rectification, quantum effects, vibrational mismatch
- Size effects on thermal rectification in mass-graded anharmonic lattices
- Cluster sizes in a classical Lennard-Jones chain
- Thermal rectification in mass-asymmetric one-dimensional anharmonic oscillator lattices with and without a ballistic spacer
- Heat flow in anharmonic crystals with internal and external stochastic baths: A convergent polymer expansion for a model with discrete time and long range interparticle interaction
- Thermal transport in a 2D stressed nanostructure with mass gradient
- Quantum vs Classical Thermal Transport at Low Temperatures