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A particle method with adjustable transport properties—the generalized consistent Boltzmann algorithm

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Abstract

The consistent Boltzmann algorithm (CBA) for dense, hard-sphere gases is generalized to obtain the van der Waals equation of state and the corresponding exact viscosity at all densities except at the highest temperatures. A general scheme for adjusting any transport coefficients to higher values is presented.

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References

  1. G. A. Bird,Molecular Gas Dynamics and the Direct Simulation of Gas Flows (Clarendon, Oxford, 1994).

    Google Scholar 

  2. A. L. Garcia,Numerical Methods for Physics, Chapt. 10 (Prentice Hall, Englewood Cliffs NJ, 1994).

    Google Scholar 

  3. W. Wagner,J. Stat. Phys. 66:1011 (1992).

    Article  MATH  ADS  Google Scholar 

  4. F. J. Alexander, A. L. Garcia, and B. J. Alder,Phys. Rev. Lett. 74:5212 (1996).

    Article  ADS  Google Scholar 

  5. F. J. Alexander, A. L. Garcia, and B. J. Alder, in 25Years of Non Equilibrium Statistical Mechanics edited by J. Brey, J. Marro, M. Rubi, and M. San Miguel (Springer-Verlag, Berlin, 1995).

    Google Scholar 

  6. P. Resibois and M. De Leener,Classical Kinetic Theory of Fluids, (John Wiley and Sons, New York, 1977).

    Google Scholar 

  7. J. M. Montanero and A. Santos,Phys. Rev. E 54:438 (1996).

    Article  ADS  Google Scholar 

  8. F. J. Alexander, A. L. Garcia, and B. J. Alder,Physica A 240:196 (1997).

    Article  ADS  Google Scholar 

  9. M. Kac, G. E. Uhlenbeck, and P. C. Hemmer,J. Math. Phys. 4:216 (1963); M. Kac, G. E. Uhlenbeck, and P. C. Hemmer,J. Math. Phys. 4:229 (1963); J. L. Lebowitz and J. K. Percus,J. Math. Phys. 4:248 (1963).

    Article  ADS  MathSciNet  Google Scholar 

  10. J. J. Erpenbeck and W. W. WoodJ. Stat. Phys. 35:321 (1984); J. J. Erpenbeck and W. W. WoodJ. Stat. Phys. 40:787 (1985).

    Article  Google Scholar 

  11. T. E. Wainwright,J. Chem. Phys. 40:2932 (1964).

    Article  ADS  Google Scholar 

  12. B. J. Alder, D. M. Gass, and T. E. Wainwright,J. Chem. Phys. 53:3813 (1970).

    Article  ADS  Google Scholar 

  13. J. J. Erpenbeck and W. W. Wood,Phys. Rev. A 43:4254 (1991).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Center for Computational Sciences and Engineering, Lawrence Berkeley National Laboratory, 94720, Berkeley, California

    Alejandro L. Garcia

  2. Physics Department, San Jose State University, 95192, San Jose, California

    Alejandro L. Garcia

  3. Center for Computational Science, Boston University, 02215, Boston, Massachusetts

    Francis J. Alexander

  4. Lawrence Livermore National Laboratory, 94550, Livermore, California

    Berni J. Alder

Authors
  1. Alejandro L. Garcia
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  2. Francis J. Alexander
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  3. Berni J. Alder
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Garcia, A.L., Alexander, F.J. & Alder, B.J. A particle method with adjustable transport properties—the generalized consistent Boltzmann algorithm. J Stat Phys 89, 403–409 (1997). https://doi.org/10.1007/BF02770772

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  • DOI: https://doi.org/10.1007/BF02770772

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