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Correlation dimension of the sheared hard-disk Lorentz gas

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Abstract

The correlation dimension for the isokinetic Lorentz gas is calculated for hard disks using nonequilibrium molecular dynamics simulation. The trajectories are confined to a strange attractor embedded in a four-dimensional phase space—the additional degree of freedom having not been included properly until this work. This degree of freedom accounts for the explicit time dependence of the system (as quantified by the moving periodic cells under shear) and is significant because the collisions tend to synchronize with the periodic change of symmetry of the lattice at high shear rates.

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References

  1. D. J. Evans and G. P. Morriss,Phys. Rev. A 30:1528 (1984).

    Google Scholar 

  2. D. J. Evans and G. P. Morriss,Comp. Phys. Rep. 1:297 (1984).

    Google Scholar 

  3. B. Holian, W. G. Hoover, and H. A. Posch,Phys. Rev. Lett. 59:10 (1987); W. G. Hooveret al., Mol. Simul. 1:79 (1987).

    Google Scholar 

  4. G. P. Morriss,Phys. Rev. A 37:2188 (1988).

    Google Scholar 

  5. D. J. Evans, E. G. D. Cohen, and G. P. Morriss,Phys. Rev. A 42:5990 (1990).

    Google Scholar 

  6. H. A. Posch and W. G. Hoover,Phys. Rev. A 39:2175 (1989).

    Google Scholar 

  7. W. G. Hoover and H. A. Posch,Phys. Lett. 123A:227 (1987).

    Google Scholar 

  8. H. A. Posch and W. G. Hoover,Phys. Rev. A 38:473 (1988).

    Google Scholar 

  9. J. D. Farmer, E. Ott, and A. Yorke,Physica 7D:153 (1983).

    Google Scholar 

  10. W. G. Hoover and B. Moran,Phys. Rev. A 40:5319 (1989).

    Google Scholar 

  11. G. P. Morriss,Phys. Rev. A 39:4811 (1989).

    Google Scholar 

  12. A. W. Lees and S. F. Edwards,J. Phys. Chem. 5:1921 (1972).

    Google Scholar 

  13. J. C. Ladd and W. G. Hoover,J. Stat. Phys. 38:973 (1985).

    Google Scholar 

  14. W. G. Hoover and B. Moran,Chaos 2:599 (1992).

    Google Scholar 

  15. W. G. Hoover and K. W. Kratky,J. Stat. Phys. 42:1103 (1986); K. W. Kratky and W. G. Hoover,J. Stat. Phys. 48:873 (1987).

    Google Scholar 

  16. P. Grassberger and I. Procaccia,Phys. Rev. Lett. 50:346 (1983).

    Google Scholar 

  17. P. Berge, Y. Pomeau, and C. Vidal,L'Ordre Dans le Chaos, (Hermann, Paris, 1984).

    Google Scholar 

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Authors and Affiliations

  1. Department of Physics, University of NSW, University College, ADFA, 2600, Canberra, ACT, Australia

    Janka Petravic & Dennis J. Isbister

  2. School of Physics, University of NSW, 2033, Kensington, NSW, Australia

    Gary P. Morriss

Authors
  1. Janka Petravic
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  2. Dennis J. Isbister
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  3. Gary P. Morriss
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Petravic, J., Isbister, D.J. & Morriss, G.P. Correlation dimension of the sheared hard-disk Lorentz gas. J Stat Phys 76, 1045–1063 (1994). https://doi.org/10.1007/BF02188697

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  • DOI: https://doi.org/10.1007/BF02188697

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