Zur kinetischen Theorie der Wärmeleitung in Kristallen

1929/01/01 by R. Peierls · 993 citations
Chemistry · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Citation #Computer science #Condensed matter physics #Library science #Mathematical physics #Physics #Spectroscopy and Quantum Chemical Studies #Theoretical physics #thermodynamics and calorimetric analyses

paper · doi:10.1002/andp.19293950803

published in Annalen der Physik 395(8), 1055-1101 (Wiley)

openalex publication_date 1929/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Cited by

• Advances in thermoelectrics
• Demystifying umklapp vs normal scattering in lattice thermal conductivity
• ShengBTE: A solver of the Boltzmann transport equation for phonons
• Near-interface effects on interfacial phonon transport: Competition between phonon-phonon interference and phonon-phonon scattering
• First-principles Phonon Calculations with Phonopy and Phono3py
• Energy-Flux Operator for a Lattice
• Solution of the Linearized Phonon Boltzmann Equation
• Machine learning, phase stability, and disorder with the Automatic Flow Framework for Materials Discovery
• Long-Time Existence and Behavior of Solutions to the Inhomogeneous Kinetic FPU Equation
• Predicting the Thermal Conductivity Collapse in SWCNT Bundles: The Interplay of Symmetry Breaking and Scattering Revealed by Machine-Learning-Driven Quantum Transport
• Accelerated Discovery of Crystalline Materials with Record Ultralow Lattice Thermal Conductivity via a Universal Descriptor
• Physics Enhanced Deep Surrogates for the Phonon Boltzmann Transport Equation
• On the optimal local well-posedness of the wave kinetic equation in L^r
• An energy cascade finite volume scheme for a mixed 3- and 4-wave kinetic equation arising from the theory of finite-temperature trapped Bose gases
• A Review of AI-Driven Approaches for Nanoscale Heat Conduction and Radiation
• Quartet, higher order and near resonant interactions in nonlinear wave equations
• On the Boltzmann Equation for Weakly Nonlinear Wave Equations
• On the derivation of the homogeneous kinetic wave equation
• Towards a microscopic derivation of the large phonon Boltzmann equation
• FourPhonon_GPU: A GPU-accelerated framework for calculating phonon scattering rates and thermal conductivity
• Asymptotics for a class of singular integrals of quotients with highly degenerate denominators
• Thermal transport of carbon nanomaterials
• Kinetic Equations for Quantum Many-Particle Systems
• GENERIC formulation and small-angle limit for Kinetic wave equations
• The Cauchy problem and BEC stability for the quantum Boltzmann-Condensation system for bosons at very low temperature
• A brief review on the recent development of phonon engineering and manipulation at nanoscales
• Hydrodynamic Phonon Transport: Past, Present, and Prospect
• Propagation of chaos and the higher order statistics in the wave kinetic theory
• Giant Enhancement of Phonon Electron Coupling in Graphene under Femtosecond Laser Heating at Room Temperature
• Spectral Algorithms for 3-Wave Kinetic and C₁₂ Quantum Boltzmann Equations with General Resonance Manifolds in ℝ^d
• Wave turbulence and collective behavior models for wave equations with short- and long-range interactions
• Rigorous Derivation of the Wave Kinetic Equation for β-FPUT System
• Derivation of the homogeneous kinetic wave equation: longer time scales
• Ab initio Green-Kubo Approach for the Thermal Conductivity of Solids
• Revisiting thermal conductivity and interface conductance at the nanoscale
• ELECTRONIC TRANSPORT IN METALLIC SYSTEMS AND GENERALIZED KINETIC EQUATIONS
• Dynamische Gittertheorie der Kristalle
• Pushing the limits of unconstrained machine-learned interatomic potentials
• Quantum transport in chains with noisy off-diagonal couplings
• Numerical verification of the weak turbulent model for swell evolution
• Interpretation of the Thermal Conductivity of Glasses
• Acoustic turbulence: from the Zakharov-Sagdeev spectra to the Kadomtsev-Petviashvili spectrum
• The thermal conductivity of dielectric solids at low temperatures (Theoretical)
• From Thermal Rectifiers to Thermoelectric Devices
• Nanoscale self-assembly of thermoelectric materials: a review of chemistry-based approaches
• Fermi-Pasta-Ulamβlattice: Peierls equation and anomalous heat conductivity
• Sum rule for thermal conductivity and dynamical thermal transport coefficients in condensed matter
• Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory
• Effect of electron-electron interaction on surface transport in the Bi<mml:mrow/>2Te<mml:mrow/>3family of three-dimensional topological insulators
• Phonon-glass electron-crystal thermoelectric clathrates: Experiments and theory
• Triggering waves in nonlinear lattices: Quest for anharmonic phonons and corresponding mean-free paths
• Phononic thermal conductivity in silicene: the role of vacancy defects and boundary scattering
• Thermal conductivity of rare-earth scandates in comparison to other oxidic substrate crystals
• Nonequilibrium plasmon fluid in a Josephson junction chain
• Heat Transport in Insulators from Ab Initio Green-Kubo Theory
• Spectral non-uniform temperature and non-local heat transfer in the spin Seebeck effect
• Rudolf Peierls [wikipedia]
• Thermal transport crossover from crystalline to partial-crystalline partial-liquid state. [europepmc]
• The effect of non-analytical corrections on the phononic thermal transport in InX (X = S, Se, Te) monolayers. [europepmc]
• Tailored elastic surface to body wave Umklapp conversion. [europepmc]
• Exposing the hidden influence of selection rules on phonon-phonon scattering by pressure and temperature tuning. [europepmc]
• GaAs/GaP Superlattice Nanowires for Tailoring Phononic Properties at the Nanoscale: Implications for Thermal Engineering. [europepmc]
• Thermal conductivity of glasses: first-principles theory and applications. [europepmc]
• Nonclassical Heat Transfer and Recent Progress. [europepmc]
• Strain-driven lone pair electron expression for thermal transport in BiCuSeO. [europepmc]
• A self-assembled two-dimensional hypersonic phononic insulator. [europepmc]
• Energy Dynamics of Long-Wave Low-Amplitude Disturbances in an Anharmonic One-Dimensional Lattice. [europepmc]
• Accelerated discovery of crystalline materials with record ultralow lattice thermal conductivity via a universal descriptor. [europepmc]
• Dual phase high temperature Si 3 N 4 /Al(Ti)N films with tunable thermal conductivity. [europepmc]
• Research Progress in Thermal Functional Fibers. [europepmc]