Anomalous Heat Conduction in a Di-atomic One-Dimensional Ideal Gas
Giulio Casati, Tomaz Prosen
TL;DR
This paper demonstrates that energy transport in a one-dimensional diatomic ideal gas with elastic collisions is anomalous, violating Fourier's Law, based on analysis of heat current, temperature profile, and Green-Kubo formalism.
Contribution
It provides the first convincing evidence of anomalous heat conduction in a 1D diatomic gas, challenging traditional Fourier Law assumptions.
Findings
Heat current scales anomalously with system size
Temperature profile deviates from linearity
Green-Kubo analysis confirms non-Fourier behavior
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.
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