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Heat Conduction in the α−β Fermi–Pasta–Ulam Chain

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Abstract

Recent simulation results on heat conduction in a one-dimensional chain with an asymmetric inter-particle interaction potential and no onsite potential found non-anomalous heat transport in accordance to Fourier’s law. This is a surprising result since it was long believed that heat conduction in one-dimensional systems is in general anomalous in the sense that the thermal conductivity diverges as the system size goes to infinity. In this paper we report on detailed numerical simulations of this problem to investigate the possibility of a finite temperature phase transition in this system. Our results indicate that the unexpected results for asymmetric potentials is a result of insufficient chain length, and does not represent the asymptotic behavior.

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Acknowledgements

A.D thanks DST for support through the Swarnajayanti fellowship.

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Authors and Affiliations

  1. Raman Research Institute, Bangalore, 560080, India

    Suman G. Das

  2. International centre for theoretical sciences, TIFR, Bangalore, 560012, India

    Abhishek Dhar

  3. Department of physics, University of California, Santa Cruz, CA, 95064, USA

    Onuttom Narayan

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  1. Suman G. Das
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  2. Abhishek Dhar
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  3. Onuttom Narayan
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Correspondence to Abhishek Dhar.

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Das, S.G., Dhar, A. & Narayan, O. Heat Conduction in the α−β Fermi–Pasta–Ulam Chain. J Stat Phys 154, 204–213 (2014). https://doi.org/10.1007/s10955-013-0871-0

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  • DOI: https://doi.org/10.1007/s10955-013-0871-0

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