Continuum and lattice heat currents for oscillator chains

Details Continuum and lattice heat currents for oscillator chains Continuum and lattice heat currents for oscillator chains

2009-05-20

arxiv.org/abs/0905.3202v1

Phys. Rev. E, 80, 011107 (2009)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 4 figures

Scientific paper

We show that two commonly used definitions for the heat current give different results--through the Kubo formula--for the heat conductivity of oscillator chains. The difference exists for finite chains, and is expected to be important more generally for small structures. For a chain of N particles that are tethered at the ends, the ratio of the heat conductivities calculated with the two currents differs from unity by O(1/N). For a chain held at constant pressure, the difference from unity decays more slowly, and is consistent with O(1/N^eta) with 1 > eta > 0.5.

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