Thermal rectification and negative differential thermal resistance in lattices with mass gradient

Abstract

We study thermal properties of one dimensional(1D) harmonic and anharmonic lattices with mass gradient. It is found that the temperature gradient can be built up in the 1D harmonic lattice with mass gradient due to the existence of gradons. The heat flow is asymmetric in the anharmonic lattices with mass gradient. Moreover, in a certain temperature region the {\it negative differential thermal resistance} is observed. Possible applications in constructing thermal rectifier and thermal transistor by using the graded material are discussed.

4 pages 5 eps figs. Accepted for pub. in Phys. Rev. B Rap. Comm

References in corpus (11)

• Thermal conduction in classical low-dimensional lattices
• Thermal diode: Rectification of heat flux
• Controlling the energy flow in nonlinear lattices: a model for a thermal rectifier
• Negative differential thermal resistance and thermal transistor
• Interface thermal resistance between dissimilar anharmonic lattice
• Anomalous heat conduction in one dimensional momentum-conserving systems
• Asymmetric Properties of Heat Conduction in a One-Dimensional Frenkel-Kontorova Model
• Heat Conduction and Entropy Production in a One-Dimensional Hard-Particle Gas
• Optical nonlinearity enhancement of graded metallic films
• Harmonic vibrational excitations in graded elastic networks: transition from phonons to gradons
• Second-harmonic generation in graded metallic films

Cited by in corpus (82)

• Phononics: Manipulating heat flow with electronic analogs and beyond
• Heat Transport in low-dimensional systems
• Thermal Logic Gates: Computation with phonons
• An oxide thermal rectifier
• Carbon Nanocone: A Promising Thermal Rectifier
• Quantum thermal transistor
• Thermal rectification in carbon nanotube intramolecular junctions: Molecular dynamics calculations
• Thermal transport in nanostructures
• Sufficient conditions for thermal rectification in hybrid quantum structures
• Thermal rectification in bulk materials with asymmetric shape
• Thermal conductivity and thermal rectification of nanoporous graphene: A molecular dynamics simulation
• Ratcheting Heat Flux against a Thermal Bias
• Radiative Thermal Rectification between SiC and SiO2
• Manipulating the flow of thermal noise in quantum devices
• Thermal rectification in thickness-asymmetric graphene nanoribbons
• Modulation and amplification of radiative far field heat transfer: Towards a simple radiative thermal transistor
• Graded anharmonic crystals as genuine thermal diodes: Analytical description of rectification and negative differential thermal resistance
• Sufficient conditions for thermal rectification in graded materials
• Thermal management and non-reciprocal control of phonon flow via optomechanics
• Nonlinear quantum heat transfer in hybrid structures: Sufficient conditions for thermal rectification
• Energy dynamics, heat production and heat-work conversion with qubits: towards the development of quantum machines
• A simple radiative thermal diode
• Shuttling heat across 1D homogenous nonlinear lattices with a Brownian heat motor
• Radiative thermal rectification using superconducting materials
• Quantum heat transfer in harmonic chains with self consistent reservoirs: Exact numerical simulations
• Heat Diode Effect and Negative Differential Thermal Conductance across Nanoscale Metal-Dielectric Interfaces
• Thermal rectifier from deformed carbon nanohorns
• The frenetic origin of negative differential response
• Non-Fourier heat transport in nanosystems
• Thermal Rectification in Graded Materials
• Quantum Optical Two-Atom Thermal Diode
• Increasing thermal rectification: Effects of long range interactions
• One-dimensional vertical dust strings in a glass box
• Designing nonlinear thermal devices and metamaterials under the Fourier's law: A route to nonlinear thermotics
• Thermal rectification in quantum graded mass systems
• Energy Rectification in Quantum Graded Spin Chains: Analysis of the XXZ Model
• Manipulate Temperature Dependence of Thermal Conductivity of Graphene Phononic Crystal
• Heat conduction in simple networks: The effect of inter-chain coupling
• Molecular wires acting as quantum heat ratchets
• A microscopic mechanism for increasing thermoelectric efficiency
• Double negative differential thermal resistance induced by the nonlinear on-site potentials
• Scaling analysis of negative differential thermal resistance
• Nonlinear transport coefficients from large deviation functions
• From thermal rectifiers to thermoelectric devices
• Thermal rectification and negative differential thermal conductance in harmonic chains with nonlinear system-bath coupling
• Ballistic magneto-thermal transport in a Heisenberg spin chain at low temperatures
• Dimension dependence of negative differential thermal resistance in graphene nanoribbons
• Quantum thermal transistors: Operation characteristics in steady state versus transient regimes
• Two-Path Phonon-Interference Resonance Induces a Stop Band in Silicon Crystal Matrix by Embedded Nanoparticles Array
• Dynamically induced heat rectification in quantum systems
• Thermal rectification of a single-wall carbon nanotube: a molecular dynamics study
• Nonlinear thermal control in an N-terminal junction
• Heat rectification with a minimal model of two harmonic oscillators
• Inhomogeneous Thermal Conductivity Enhances Thermoelectric Cooling
• Anomalous negative differential thermal resistance in a momentum-conserving lattice
• Heat current fluctuations and anomalous transport in low dimensional carbon lattices
• Thermal Rectification in Classical and Quantum Systems: Searching for Efficient Thermal Diodes
• Thermal rectification in the thermodynamic limit
• Asymmetric Heat Transport in Ion Crystals
• Heat current control in trapped BEC
• Heat conduction in chains of non-locally coupled harmonic oscillators: mean-field limit
• Wave-packet rectification in nonlinear electronic systems: A tunable Aharonov-Bohm diode
• Existence of negative differential thermal conductance in one-dimensional diffusive thermal transport
• Perturbation theory of thermal rectification
• Quantum Thermal Rectification to design thermal diodes and transistors
• Temperature gradient and Fourier's law in gradient-mass harmonic systems
• A Theoretical Paradigm for Thermal Rectification via Phonon Filtering and Energy Carrier Confinement
• Gradient-index granular crystals: From boomerang motion to asymmetric transmission of waves
• Thermal Rectification and Negative Differential Thermal Resistance in a driven two segment classical Heisenberg chain
• Thermal rectification in oscillator lattices with a ballistic spacer and next nearest-neighbor interactions
• Thermal rectification in three-dimensional mass-graded anharmonic oscillator lattices
• Eliminating the cuspidal temperature profile of a non-equilibrium chain
• Size effects on thermal rectification in mass-graded anharmonic lattices
• Negative differential thermal conductance by photonic transport in electronic circuits
• Thermally driven classical Heisenberg chain with a spatially varying magnetic field: Thermal rectification and Negative differential thermal resistance
• Thermal rectification in mass-asymmetric one-dimensional anharmonic oscillator lattices with and without a ballistic spacer
• Thermal rectification in the one-dimensional nonlinearly graded rotor lattice robust in the thermodynamical limit
• Dynamic in situ Control of Heat Rectification in Graphene Nano Ribbons using Electric Field-induced Strain
• A series circuit of thermal rectifiers: an effective way to enhance rectification ratio
• Macroscopic charge segregation in driven polyelectrolyte solutions
• Thermal rectification in segmented Frenkel-Kontorova lattices with asymmetric next-nearest-neighbor interactions
• Quantum vs Classical Thermal Transport at Low Temperatures