Phys. Rev. E 80, 011107 (2009) [8 pages]Continuum and lattice heat currents for oscillator chainsReceived 2 March 2009; published 7 July 2009 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/Nη) with 1>η>0.5. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.80.011107
DOI:
10.1103/PhysRevE.80.011107
PACS:
05.60.Cd, 44.10.+i, 05.70.Ln
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