Anomalous Heat Conduction in a Di-atomic One-Dimensional Ideal Gas
arXiv:cond-mat/0203331 · doi:10.1103/PhysRevE.67.015203
Abstract
We provide firm convincing evidence that the energy transport in a one-dimensional gas of elastically colliding free particles of unequal masses is anomalous, i.e. the Fourier Law does not hold. Our conclusions are based on the analysis of the dependence of the heat current on the number of particles, of the internal temperature profile and on the Green-Kubo formalism.
4 pages (RevTeX), 5 eps-figures
References in corpus (4)
- Heat conduction in the disordered harmonic chain revisited
- Heat conduction in a one-dimensional gas of elastically colliding particles of unequal masses
- A simple one-dimensional model of heat conduction which obeys Fourier's law
- Observation of coupled normal heat and matter transport in a simple model system
Cited by in corpus (66)
- Heat Transport in low-dimensional systems
- Molecular Transport Junctions: Vibrational Effects
- Thermal conductance through molecular wires
- Anomalous heat conduction and anomalous diffusion in one dimensional systems
- Heat transport in low dimensions: introduction and phenomenology
- 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
- Numerical test of hydrodynamic fluctuation theory in the Fermi-Pasta-Ulam chain
- Anomalous heat conduction and anomalous diffusion in nonlinear lattices, single walled nanotubes, and billiard gas channels
- On the universality of anomalous one-dimensional heat conductivity
- Heat conduction in the α-β-Fermi-Pasta-Ulam chain
- Heat conduction in 1D lattices with on-site potential
- Fourier law in the alternate mass hard-core potential chain
- Heat conductivity in linear mixing systems
- Studies of thermal conductivity in Fermi-Pasta-Ulam like lattices
- Mode-coupling theory and molecular dynamics simulation for heat conduction in a chain with transverse motions
- Quantum transport using the Ford-Kac-Mazur formalism
- Non-integrability and the Fourier heat conduction law
- Universality of One-Dimensional Heat Conductivity
- Anomalous heat transport in one dimensional systems: a description using non-local fractional-type diffusion equation
- Energy diffusion in hard-point systems
- One dimensional heat conductivity exponent from random collision model
- Heat Conduction in two-dimensional harmonic crystal with disorder
- Heat conduction in the disordered Fermi-Pasta-Ulam chain
- Heat Conduction in One-Dimensional chain of Hard Discs with Substrate Potential
- Fourier law from a chain of coupled anharmonic oscillators under energy conserving noise
- Anomalous heat conduction in a carbon nanowire: Molecular dynamics calculations
- Blast in a One-Dimensional Cold Gas: From Newtonian Dynamics to Hydrodynamics
- Fourier law in a momentum-conserving chain
- Fourier's law from a chain of coupled planar harmonic oscillators under energy conserving noise
- Heat transport via low-dimensional systems with broken time-reversal symmetry
- Anomalous Heat Conduction in Three-Dimensional Nonlinear Lattices
- Linear instability and statistical laws of physics
- Correlations and scaling in one-dimensional heat conduction
- Finite-size effects on current correlation functions
- Inverse Currents in Hamiltonian Coupled Transport
- The Taylor-von Neumann-Sedov blast-wave solution: comparisons with microscopic simulations of a one-dimensional gas
- Entropy growth during free expansion of an ideal gas
- Transport properties of the classical Toda chain: effect of a pinning potential
- A simulation study of energy transport in the Hamiltonian XY-model
- Temperature profile and boundary conditions in an anomalous heat transport model
- Exact time-averaged thermal conductance for small systems: Comparison between direct calculation and Green-Kubo formalism
- 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
- Thermoelectricity of interacting particles: A numerical approach
- Modulating heat conduction by stretching or compressing
- Anomalous Fourier's law and long range correlations in a 1D non-momentum conserving mechanical model
- Dynamic Screening in a Two-Species Asymmetric Exclusion Process
- Heat conduction in a three-dimensional momentum-conserving fluid
- A splash in a one-dimensional cold gas
- Universal scaling for recovery of Fourier's law in low-dimensional solids under momentum conservation
- Analytic calculation of energy transfer and heat flux in a one-dimensional system
- Heat perturbations spreading in the Fermi-Pasta-Ulam- system with next-nearest-neighbor coupling: Competition between phonon dispersion and nonlinearity
- Heat transport along a chain of coupled quantum harmonic oscillators
- Strong Shock Waves and Nonequilibrium Response in a One-dimensional Gas: a Boltzmann Equation Approach
- Nernst-like Effect in a Flexible Chain
- Boltzmann's entropy during free expansion of an interacting ideal gas
- On two non-ergodic reversible cellular automata, one classical, the other quantum
- Heat conduction in a chain of colliding particles with stiff repulsive potential
- Cluster sizes in a classical Lennard-Jones chain
- Autonomous Circular Heat Engine
- Super-diffusion and crossover from diffusive to anomalous transport in a one-dimensional system
- Superdiffusive transport in chaotic quantum systems with nodal interactions
- 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