From thermal rectifiers to thermoelectric devices
arXiv:1512.06889 · doi:10.1007/978-3-319-29261-8_10
Abstract
We discuss thermal rectification and thermoelectric energy conversion from the perspective of nonequilibrium statistical mechanics and dynamical systems theory. After preliminary considerations on the dynamical foundations of the phenomenological Fourier law in classical and quantum mechanics, we illustrate ways to control the phononic heat flow and design thermal diodes. Finally, we consider the coupled transport of heat and charge and discuss several general mechanisms for optimizing the figure of merit of thermoelectric efficiency.
42 pages, 22 figures, review paper, to appear in the Springer Lecture Notes in Physics volume "Thermal transport in low dimensions: from statistical physics to nanoscale heat transfer" (S. Lepri ed.)
References in corpus (43)
- The density-matrix renormalization group in the age of matrix product states
- Real time evolution using the density matrix renormalization group
- Heat Transport in low-dimensional systems
- Efficiency at maximum power: An analytically solvable model for stochastic heat engines
- Dephasing and the steady state in quantum many-particle systems
- Optimal energy quanta to current conversion
- Thermal rectification and negative differential thermal resistance in lattices with mass gradient
- Rectification of electronic heat current by a hybrid thermal diode
- Modeling heat transport through completely positive maps
- Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs
- Strong bounds on Onsager coefficients and efficiency for three terminal thermoelectric transport in a magnetic field
- The design of a thermal rectifier
- Scattering theory of nonlinear thermoelectric transport
- Magnon-driven quantum-dot heat engine
- Thermoelectric efficiency of three-terminal quantum thermal machines
- Fourier's Law confirmed for a class of small quantum systems
- Efficiency of three-terminal thermoelectric transport under broken-time reversal symmetry
- Transport in open spin chains: A Monte Carlo wave-function approach
- Fourier's Law in a Quantum Spin Chain and the Onset of Quantum Chaos
- Thermal transport of the XXZ chain in a magnetic field
- Thermodynamic and quantum bounds on nonlinear DC thermoelectric transport
- Non-integrability and the Fourier heat conduction law
- Electron transport in a one dimensional conductor with inelastic scattering by self-consistent reservoirs
- Bound on Thermoelectric Power in a Magnetic Field within Linear Response
- Thermal Rectification in Graded Materials
- Separation of heat and charge currents for boosted thermoelectric conversion
- Heat Conduction and Entropy Production in Anharmonic Crystals with Self-Consistent Stochastic Reservoirs
- ThermoElectric Transport Properties of a Chain of Quantum Dots with Self-Consistent Reservoirs
- Heat Transport in Quantum Spin Chains: Stochastic Baths vs Quantum Trajectories
- A microscopic mechanism for increasing thermoelectric efficiency
- Conservation Laws and Thermodynamic Efficiencies
- Reconstructing Fourier's law from disorder in quantum wires
- Quantum Mechanical Heat Transport in Disordered Harmonic Chains
- Ingredients for an efficient thermal diode
- Microscopic Quantum Mechanical Foundation of Fourier's Law
- Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems
- Thermoelectric efficiency in momentum-conserving systems
- Railway switch transport model
- Gate-modulated thermopower of disordered nanowires: II. Variable-range hopping regime
- Enhanced thermoelectric coupling near electronic phase transition: the role of fluctuation Cooper pairs
- Thermoelectricity of interacting particles: A numerical approach
- Asymmetric Heat Flow in Mesoscopic Magnetic System
- Fundamental aspects of steady state heat to work conversion
Cited by in corpus (17)
- Perfect diode in quantum spin chains
- Anomalous heat transport in classical many-body systems: overview and perspectives
- Non-Fourier heat transport in nanosystems
- Single-electron thermal devices coupled to a mesoscopic gate
- All-thermal transistor based on stochastic switching
- Thermal rectification with interacting electronic channels: Exploiting degeneracy, quantum superpositions and interference
- Heat current rectification in segmented XXZ chains
- Engineering dynamical couplings for quantum thermodynamic tasks
- Thermodynamic bound on heat to power conversion
- Quantifying nonequlibrium thermodynamic operations in a multiterminal mesoscopic system
- Dynamically induced heat rectification in quantum systems
- Heat rectification with a minimal model of two harmonic oscillators
- Local rectification of heat flux
- Far-Field Radiative Thermal Rectification with Bulk Materials
- Minimal motor for powering particle motion from spin imbalance
- Autonomous Circular Heat Engine
- Dynamic in situ Control of Heat Rectification in Graphene Nano Ribbons using Electric Field-induced Strain