Dimensional crossover of heat conduction in low dimensions

Lei Yang; Peter Grassberger; Bambi Hu

doi:10.1103/PhysRevE.74.062101

Dimensional crossover of heat conduction in low dimensions

Lei Yang^*, Peter Grassberger, Bambi Hu

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › peer-review

51 Citations (Scopus)

Abstract

The dimensional crossover phenomena of heat conduction is studied by a two-dimensional (2D) Fermi-Pasta-Ulam lattice. The 2D divergence law of the thermal conductivity is confirmed by the simulations results. The divergence law of the thermal conductivity will change from the 2D class to 1D class as δ= N/ Nx decreases, here Ny is the size in transverse direction and Nx in longitude direction. The simulation's results suggest that the dimensional crossover happens in δ* →0 as Nx →.

Original language	English
Article number	062101
Journal	Physical Review E
Volume	74
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.74.062101
Publication status	Published - 8 Dec 2006

Scopus Subject Areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.74.062101

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title = "Dimensional crossover of heat conduction in low dimensions",

abstract = "The dimensional crossover phenomena of heat conduction is studied by a two-dimensional (2D) Fermi-Pasta-Ulam lattice. The 2D divergence law of the thermal conductivity is confirmed by the simulations results. The divergence law of the thermal conductivity will change from the 2D class to 1D class as δ= N/ Nx decreases, here Ny is the size in transverse direction and Nx in longitude direction. The simulation's results suggest that the dimensional crossover happens in δ* →0 as Nx →.",

author = "Lei Yang and Peter Grassberger and Bambi Hu",

note = "This work was supported in part by grants from the Hong Kong Research Grants Council RGC and the Hong Kong Baptist University Faculty Research Grant FRG.",

year = "2006",

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doi = "10.1103/PhysRevE.74.062101",

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T1 - Dimensional crossover of heat conduction in low dimensions

AU - Yang, Lei

AU - Grassberger, Peter

AU - Hu, Bambi

N1 - This work was supported in part by grants from the Hong Kong Research Grants Council RGC and the Hong Kong Baptist University Faculty Research Grant FRG.

PY - 2006/12/8

Y1 - 2006/12/8

N2 - The dimensional crossover phenomena of heat conduction is studied by a two-dimensional (2D) Fermi-Pasta-Ulam lattice. The 2D divergence law of the thermal conductivity is confirmed by the simulations results. The divergence law of the thermal conductivity will change from the 2D class to 1D class as δ= N/ Nx decreases, here Ny is the size in transverse direction and Nx in longitude direction. The simulation's results suggest that the dimensional crossover happens in δ* →0 as Nx →.

AB - The dimensional crossover phenomena of heat conduction is studied by a two-dimensional (2D) Fermi-Pasta-Ulam lattice. The 2D divergence law of the thermal conductivity is confirmed by the simulations results. The divergence law of the thermal conductivity will change from the 2D class to 1D class as δ= N/ Nx decreases, here Ny is the size in transverse direction and Nx in longitude direction. The simulation's results suggest that the dimensional crossover happens in δ* →0 as Nx →.

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DO - 10.1103/PhysRevE.74.062101

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JF - Physical Review E

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Dimensional crossover of heat conduction in low dimensions

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