A simple one-dimensional model of heat conduction which obeys Fourier's law

Details A simple one-dimensional model of heat conduction which obeys Fourier's law A simple one-dimensional model of heat conduction which obeys Fourier's law

2001-04-24

arxiv.org/abs/cond-mat/0104453v1

Phys. Rev. Lett. 86, 5486 (2001)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures, to be published in PRL

Scientific paper

10.1103/PhysRevLett.86.5486

We present the computer simulation results of a chain of hard point particles with alternating masses interacting on its extremes with two thermal baths at different temperatures. We found that the system obeys Fourier's law at the thermodynamic limit. This result is against the actual belief that one dimensional systems with momentum conservative dynamics and nonzero pressure have infinite thermal conductivity. It seems that thermal resistivity occurs in our system due to a cooperative behavior in which light particles tend to absorb much more energy than the heavier ones.

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