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Renormalized kinetic theory of nonequilibrium many-particle classical systems

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Abstract

The far-from-equilibrium statistical dynamics of classical particle systems is formulated in terms of self-consistently determined phase-space density response, fluctuation, and vertex functions. Collective and single-particle effects are treated on an equal footing. Two approximations are discussed, one of which reduces to the Vlasov equation direct interaction approximation of Orszag and Kraichnan when terms that are explicitly due to particles are removed.

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References

  1. R. Phythian,J. Phys. A 10:777 (1977).

    Google Scholar 

  2. U. Deker and F. Haake,Phys. Rev. A 11:2043 (1975).

    Google Scholar 

  3. H. A. Rose, Thesis, Harvard University (1974).

  4. G. F. Mazenko and S. Yip,Statistical Mechanics, Part B (Plenum Press, 1977).

  5. J. Schwinger,Proc. Nat. Acad. Sci. 37:452, 455 (1951).

    Google Scholar 

  6. M. Doi,J. Phys. A. 9:1465 (1976).

    Google Scholar 

  7. A. Katz,Principles of Statistical Mechanics (Freeman, 1967).

  8. M. Doi,J. Phys. A. 9:1479 (1976).

    Google Scholar 

  9. P. C. Martin, E. D. Siggia, and H. A. Rose,Phys. Rev. A 8:423 (1973).

    Google Scholar 

  10. Y. L. Klimontovich,The Statistical Theory of Non-Equilibrium Processes in a Plasma (The MIT Press, 1967).

  11. C. DeDominicis and P. C. Martin,J. Math. Phys. 5:14 (1964).

    Google Scholar 

  12. M. Doi, private communication.

  13. U. Deker and F. Haake,Phys. Rev. A 12:1629 (1975).

    Google Scholar 

  14. L. P. Kadanoff and G. Baym,Quantum Statistical Mechanics (Benjamin, 1962).

  15. D. L. Book and E. A. Frieman,Phys. Fluids 6:1700 (1963).

    Google Scholar 

  16. S. A. Orszag and R. H. Kraichnan,Phys. Fluids 10:1720 (1967).

    Google Scholar 

  17. D. F. DuBois and M. Espedal, Direct-interaction approximation and plasma turbulence theory, submitted toJ. Plasma Phys.

  18. R. H. Kraichnan,Adv. Math. 16:305 (1975).

    Google Scholar 

  19. J. R. Herring and R. H. Kraichnan, inStatistical Models and Turbulence, M. Rosenblatt and C. Van Atta, eds. (1972).

  20. R. H. Kraichnan,J. Math. Phys,3:475, 496 (1962).

    Google Scholar 

  21. U. Deker, Perturbation theory for classical random processes with arbitrary preparation, Harvard University Department of Physics preprint (1978).

Download references

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Work performed under the auspices of the U.S. Department of Energy.

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Rose, H.A. Renormalized kinetic theory of nonequilibrium many-particle classical systems. J Stat Phys 20, 415–447 (1979). https://doi.org/10.1007/BF01011780

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  • DOI: https://doi.org/10.1007/BF01011780

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