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Invariant states of a thermally conducting barrier

Abstract

For an infinite one-dimensional system representing a thermally conducting barrier and two semi-infinite reservoirs which it separates, we prove the existence of a unique stationary probability distribution, to which essentially any initial distribution converges for large times.

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Additional information

Research partially supported by NSF grant No. PHY-8003298.

Research partially supported by NSF grant No. PHY-8201708.

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Farmer, J., Goldstein, S. & Speer, E.R. Invariant states of a thermally conducting barrier. J Stat Phys 34, 263–277 (1984). https://doi.org/10.1007/BF01770358

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Key words

  • Invariant states
  • thermally conducting barrier