Anomalous heat conduction in one dimensional momentum-conserving systems
arXiv:cond-mat/0205295 · doi:10.1103/PhysRevLett.89.200601
Abstract
We show that for one dimensional systems with momentum conservation, the thermal conductivity generically diverges with system size as
4 pages
References in corpus (1)
Cited by in corpus (183)
- Thermal Properties of Graphene, Carbon Nanotubes and Nanostructured Carbon Materials
- Dimensional crossover of thermal transport in few-layer graphene materials
- Length-dependent thermal conductivity in suspended single-layer graphene
- Heat Transport in low-dimensional systems
- Non equilibrium steady states: fluctuations and large deviations of the density and of the current
- Phononic thermal properties of two-dimensional materials
- Phonon Transport in Graphene
- Nonlinear fluctuating hydrodynamics for anharmonic chains
- Thermal and Thermoelectric Properties of Graphene
- Anomalous heat conduction and anomalous diffusion in one dimensional systems
- Thermal rectification and negative differential thermal resistance in lattices with mass gradient
- Exact results for anomalous transport in one dimensional Hamiltonian systems
- A momentum conserving model with anomalous thermal conductivity in low dimension
- Heat transport in harmonic lattices
- One-Dimensional van der Waals Quantum Materials -- State of the Art and Perspectives
- Heat transport in low dimensions: introduction and phenomenology
- Thermal transport in nanostructures
- Anomalous Heat Diffusion
- Anomalous Heat Diffusion
- Local Temperature and Universal Heat Conduction in FPU chains
- From anomalous energy diffusion to Levy walks and heat conductivity in one-dimensional systems
- Intriguing Heat Conduction of a Polymer Chain
- Anomalous Heat Conduction and Anomalous Diffusion in Low Dimensional Nanoscale Systems
- Fermi-Pasta-Ulam lattice: Peierls equation and anomalous heat conductivity
- Numerical test of hydrodynamic fluctuation theory in the Fermi-Pasta-Ulam chain
- Nonequilibrium Green's function method for thermal transport in junctions
- Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
- Anomalous heat conduction and anomalous diffusion in nonlinear lattices, single walled nanotubes, and billiard gas channels
- Effect of phonon-phonon interactions on localization
- On the universality of anomalous one-dimensional heat conductivity
- Self-Consistent Mode-Coupling Approach to 1D Heat Transport
- Normal heat conduction in one dimensional momentum conserving lattices with asymmetric interactions
- Heat conduction in a three dimensional anharmonic crystal
- Thermal Conductivity of Spin-1/2 Chains
- Heat conduction in the α-β-Fermi-Pasta-Ulam chain
- Energy Transport in Weakly Anharmonic Chains
- Fourier law in the alternate mass hard-core potential chain
- From GPE to KPZ: finite temperature dynamical structure factor of the 1D Bose gas
- Anomalous kinetics and transport from 1D self--consistent mode--coupling theory
- Studies of thermal conductivity in Fermi-Pasta-Ulam like lattices
- Validity of Fourier's law in one-dimensional momentum-conserving lattices with asymmetric interparticle interactions
- Mode-coupling theory and molecular dynamics simulation for heat conduction in a chain with transverse motions
- Quantum transport using the Ford-Kac-Mazur formalism
- Exact solution of a Levy walk model for anomalous heat transport
- Too Close to Integrable: Crossover from Normal to Anomalous Heat Diffusion
- Heavy Operators and Hydrodynamic Tails
- Non-Equilibrium Universality in the Heating Dynamics of Interacting Luttinger Liquids
- Diffusion of heat, energy, momentum, and mass in one-dimensional systems
- A Sum Rule for Thermal Conductivity and Dynamical Thermal Transport Coefficients in Condensed Matter -I
- Non-Fourier heat transport in nanosystems
- The effect of discrete breathers on heat conduction in nonlinear chains
- Universality of One-Dimensional Heat Conductivity
- Anomalous heat transport in one dimensional systems: a description using non-local fractional-type diffusion equation
- 1D momentum-conserving systems: the conundrum of anomalous versus normal heat transport
- Energy diffusion in hard-point systems
- Crossover from ballistic to normal heat transport in the lattice: If nonconservation of momentum is the reason, what is the mechanism?
- Crossover from ballistic to diffusive thermal transport in quantum Langevin dynamics study of a harmonic chain connected to self-consistent reservoirs
- Role of the range of the interactions in thermal conduction
- Universal power law in crossover from integrability to quantum chaos
- Transport anomaly in the low energy regime of spin chains
- Hydrodynamics of nonintegrable systems from a relaxation-time approximation
- A violation of universality in anomalous Fourier's law
- One dimensional heat conductivity exponent from random collision model
- Thermal transport in long-range interacting Fermi-Pasta-Ulam chains
- Equilibrium dynamical correlations in the Toda chain and other integrable models
- Heat conduction in simple networks: The effect of inter-chain coupling
- How Does van der Waals Confinement Enhance Phonon Transport?
- Enhancing thermal conductivity of bulk polyethylene along two directions by paved crosswise laminate
- Heat Conduction in two-dimensional harmonic crystal with disorder
- Heat Conduction in One-Dimensional chain of Hard Discs with Substrate Potential
- Breakdown of Hydrodynamics in a Simple One-Dimensional Fluid
- Heat conduction in the disordered Fermi-Pasta-Ulam chain
- Detailed Examination of Transport Coefficients in Cubic-Plus-Quartic Oscillator Chains
- Fourier law from a chain of coupled anharmonic oscillators under energy conserving noise
- Fourier's Law from Closure Equations
- Crossover from Fermi-Pasta-Ulam to normal diffusive behaviour in heat conduction through open anharmonic lattices
- Prethermalization and Thermalization of a Quenched Interacting Luttinger Liquid
- Conservation Laws and Thermodynamic Efficiencies
- Breakdown of Diffusion on the Edge
- Graphene Helicoid: The Distinct Properties Promote Application of Graphene Related Materials in Thermal Management
- Superdiffusive transport of energy in one-dimensional metals
- Fourier law in a momentum-conserving chain
- Anomalous Heat Conduction in Three-Dimensional Nonlinear Lattices
- Heat transport via low-dimensional systems with broken time-reversal symmetry
- Correlations and scaling in one-dimensional heat conduction
- Fourier's law from a chain of coupled planar harmonic oscillators under energy conserving noise
- Key role of asymmetric interactions in low-dimensional heat transport
- Finite-size effects on current correlation functions
- Microscopic theory of the fluctuating hydrodynamics in nonlinear lattices
- Normal heat conductivity in chains capable of dissociation
- Derivation of fluctuating hydrodynamics and crossover from diffusive to anomalous transport in a hard-particle gas
- The one-dimensional Lennard-Jones system: collective fluctuations and breakdown of hydrodynamics
- Fractional diffusion equation description of an open anomalous heat conduction set-up
- Nonequilibrium Invariant Measure under Heat Flow
- The Taylor-von Neumann-Sedov blast-wave solution: comparisons with microscopic simulations of a one-dimensional gas
- Thermal conductivity of the Toda lattice with conservative noise
- Crossover between different universality classes: Scaling for thermal transport in one dimension
- Transport properties of the classical Toda chain: effect of a pinning potential
- Nonequilibrium phonon mean free paths in anharmonic chains
- Anomalous dynamical scaling in anharmonic chains and plasma models with multiparticle collisions
- Hydrodynamic effective field theory and the analyticity of hydrostatic correlators
- Temperature dependence of thermal conductivities of coupled rotator lattice and the momentum diffusion in standard map
- Thermal conductivity of a classical one dimensional spin-phonon system
- A simulation study of energy transport in the Hamiltonian XY-model
- A Billiard-Theoretic Approach to Elementary 1d Elastic Collisions
- Temperature profile and boundary conditions in an anomalous heat transport model
- Fluctuations of the heat flux of a one-dimensional hard particle gas
- Pressure-induced recovery of Fourier's law in one dimensional momentum-conserving systems
- Anomalous negative differential thermal resistance in a momentum-conserving lattice
- Kinetic Theory for Interacting Luttinger Liquids
- Tagged particle diffusion in one-dimensional gas with Hamiltonian dynamics
- Polymers in a vacuum
- Anomalous energy diffusion in two-dimensional nonlinear lattices
- One-Dimensional Self-Organization and Nonequilibrium Phase Transition in a Hamiltonian System
- Thermal Transport in One Dimensional Electronic Fluid
- Underlying mechanisms for normal heat transport in one-dimensional anharmonic oscillator systems with a double-well interparticle interaction
- Thermal conductivity for coupled charged harmonic oscillators with noise in a magnetic field
- Different thermal conductance of the inter- and intra-chain interactions in a double-stranded molecular structure
- Anomalous energy transport in FPU- chain
- Internal dissipation of a polymer
- One-dimensional Superdiffusive Heat Propagation Induced by Optical Phonon-Phonon Interactions
- Differential Multi-probe Thermal Transport Measurements of Multi-walled Carbon Nanotubes grown by Chemical Vapor Deposition
- Heat conduction in chains of non-locally coupled harmonic oscillators: mean-field limit
- Observing Golden Mean Universality Class in the Scaling of Thermal Transport
- Modulating heat conduction by stretching or compressing
- Heat conduction and energy diffusion in momentum-conserving 1D full lattice ding-a-ling model
- Anomalous Fourier's law and long range correlations in a 1D non-momentum conserving mechanical model
- Quantum transport in chains with noisy off-diagonal couplings
- Temperature-dependent thermal conductivities of one-dimensional nonlinear Klein-Gordon lattices with soft on-site potential
- Thermal conductance of one dimensional disordered harmonic chains
- Dynamic Screening in a Two-Species Asymmetric Exclusion Process
- The Role of Chaos in One-Dimensional Heat Conductivity
- Kinetic and hydrodynamic regimes in multi-particle-collision dynamics of a one-dimensional fluid with thermal walls
- Anomalous Hydrodynamics in One Dimensional Electronic Fluid
- Thermal conductance of the coupled-rotator chain: Influence of temperature and size
- Solitons as candidates for energy carriers in Fermi-Pasta-Ulam lattices
- Navier-Stokes equations for nearly integrable quantum gases
- Normal heat conduction in lattice models with asymmetry harmonic interparticle interactions
- Universal scaling for recovery of Fourier's law in low-dimensional solids under momentum conservation
- Anomalous temperature-dependent heat transport in one-dimensional momentum-conserving systems with soft-type interparticle interaction
- Stretch diffusion and heat conduction in 1D nonlinear lattices
- Probing local equilibrium in nonequilibrium fluids
- Anomalous heat equation in a system connected to thermal reservoirs
- Heat conduction in a three-dimensional momentum-conserving fluid
- Divergent Thermal Conductivity in Three-dimensional Nonlinear lattices
- Heat perturbations spreading in the Fermi-Pasta-Ulam- system with next-nearest-neighbor coupling: Competition between phonon dispersion and nonlinearity
- Analytic calculation of energy transfer and heat flux in a one-dimensional system
- Heat transport along a chain of coupled quantum harmonic oscillators
- Thermal conductivity of a weakly interacting Bose gas in quasi-one-dimension
- Scaling laws and bulk-boundary decoupling in heat flow
- Strong Shock Waves and Nonequilibrium Response in a One-dimensional Gas: a Boltzmann Equation Approach
- Tagged particle diffusion in one-dimensional systems with Hamiltonian dynamics - II
- On the derivation of Fourier's law for coupled anharmonic oscillators
- L{é}vy walks on finite intervals: A step beyond asymptotics
- Heat conduction in a chain of colliding particles with stiff repulsive potential
- Thermal Transport in Graphene and Graphene Multilayers
- Quantum noise theory for phonon transport through nanostructures
- Temperature dependent divergence of thermal conductivity in momentum conserving 1D lattice with asymmetric potential
- Super diffusive length dependent thermal conductivity in one-dimensional materials with structural defects: longitudinal to transverse phonon scattering leads to law
- Plasmon localization and relaxation, and thermal transport in one-dimensional conductors
- Heat conduction and diffusion of hard disks in a narrow channel
- Inelastic Maxwell models for monodisperse gas-solid flows
- Confinement and non-universality of anomalous heat transport and superdiffusion of energy in low-dimensional systems
- Glassy dynamics in disordered oscillator chains
- Approaching the perfect diode limit through a nonlinear interface
- A Symmetry Property of Momentum Distribution Functions in the Nonequilibrium Steady State of Lattice Thermal Conduction
- Chapman-Enskog theory and crossover between diffusion and superdiffusion for nearly integrable quantum gases
- Microscopic and hydrodynamic correlation in 1d hard rod gas
- Nonanomalous heat transport in a one-dimensional composite chain
- Heat conductivity in the presence of a quantized degree of freedom
- Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories
- Superdiffusive transport in chaotic quantum systems with nodal interactions
- Weighted average temperature as the effective temperature of a system in contact with two thermal baths
- Unconventional Relaxation of Hydrodynamic Modes in Anharmonic Chains
- Heat conductivity in the beta-FPU lattice. Solitons and breathers as energy carriers
- Dynamical correlations of conserved quantities in the one-dimensional equal mass hard particle gas
- Coupled elastic membranes model for quantum heat transport in semiconductor nanowires
- Unifying renormalized and bare viscosity in two-dimensional molecular dynamics simulations
- The hidden role of coupled wave network topology on the dynamics of nonlinear lattices
- Spin and thermal current scaling at a -junction of XX spin chains
- From Near-Integrable to Far-from-Integrable: A Unified Picture of Thermalization and Heat Transport
- Nonlinearity-induced transition in heat conduction through a topological metamaterial of rotors
- Recent progress on thermal transport in one-dimensional long-range interacting Fermi-Pasta-Ulam-Tsingou lattice systems