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Dynamics of a stochastically driven running sandpile

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Summary

We analyze in detail a one-dimensional sandpile with spatially stochastic driving at a finite rate. The dynamics shows three different phases, depending on the on-site relaxation rate and the stochastic driving rate. Two phases are characterized by the presence of traveling waves. The third phase shows algebraic relaxation.

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References

  1. P. Bak, C. Tang, and K. Wiesenfeld,Phys. Rev. Lett. 59, 381–384 (1987).

    Google Scholar 

  2. L. Kadanoff, S. Nagel, L. Wu, and S. Zhou,Phys. Rev. A 39, 6524–6537 (1989).

    Google Scholar 

  3. H. Risken,The Fokker-Planck Equation: Methods of Solution and Applications, Springer-Verlag, Berlin, 1989.

    Google Scholar 

  4. J. M. Carlson, J. T. Chayes, E. R. Grannan, and G. H. Swindle,Phys. Rev. Lett. 65, 2547–2550 (1990).

    Google Scholar 

  5. R. Wittmann, T. Kautzky, A. Hübler, and E. Lüscher,Naturwissenschaften 78, 23–25 (1991).

    Google Scholar 

  6. T. Hwa and M. Kardar,Phys. Rev. A 45, 7002–7023 (1992).

    Google Scholar 

  7. J. M. Carlson, E. R. Grannan, and G. H. Swindle,Phys. Rev. E 47, 93–105 (1993).

    Google Scholar 

  8. J. M. Carlson, E. R. Grannan, G. H. Swindle, and J. Tour,Ann. Prob. 21, 1372–1393 (1993).

    Google Scholar 

  9. J. T. Chayes, S. J. Osher, and J. V. Ralston,Comm. Pure Appl. Math. XLVI, 1363–1377 (1993).

    Google Scholar 

  10. P. Lam and F. Family,Phys. Rev. E 47, 1570–1577 (1993).

    Google Scholar 

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Communicated by Herbert Spohn

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Becker, T., de Vries, H. & Eckhardt, B. Dynamics of a stochastically driven running sandpile. J Nonlinear Sci 5, 167–188 (1995). https://doi.org/10.1007/BF01208378

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  • DOI: https://doi.org/10.1007/BF01208378

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