Skip to main content
SpringerLink
Log in

Time-displaced correlation functions in an infinite one-dimensional mixture of hard rods with different diameters

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

Time-displaced conditional distribution functions are calculated for an infinite, one-dimensional mixture of equal-mass hard rods of different diameters. The kinetic equation that describes the time dependence of the one-particle total distribution function is found to be non-Markovian, in contrast with the situation in systems of identical rods. The correlation function does not contain any isolated damped oscillation, except for systems of equal-diameter rods with discrete velocities. Thus, we generalize the one-component results of Lebowitz, Perçus, and Sykes, removing some nontypical features of that system.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. D. W. Jepsen,J. Math. Phys. 6:405 (1965).

    Google Scholar 

  2. J. L. Lebowitz and J. K. Percus,Phys. Rev. 155:122 (1967).

    Google Scholar 

  3. J. L. Lebowitz, J. K. Perçus, and J. Sykes,Phys. Rev. 171:224 (1968).

    Google Scholar 

  4. L. Van Hove,Phys. Rev. 95:249 (1954).

    Google Scholar 

  5. Ya. G. Sinai,Funct. Anal Appl. 6:35 (1972).

    Google Scholar 

  6. M. Aizenman, S. Goldstein, and J. L. Lebowitz,Comm. Math. Phys. 39:289 (1974).

    Google Scholar 

  7. M. Aizenman, Thesis, Yeshiva Univ. (1975).

  8. J. L. Lebowitz, J. K. Percus, and J. Sykes,Phys. Rev. 188:487 (1969).

    Google Scholar 

  9. P. Resibois and J. L. Lebowitz,J. Stat. Phys. 12:483 (1975).

    Google Scholar 

  10. J. K. Percus, inEquilibrium Theory of Classical Fluids, H. L. Frisch and J. L. Lebowitz, eds. (Benjamin, New York, 1964), Part II, p. 58.

    Google Scholar 

  11. J. L. Lebowitz and D. Zomick,J. Chem. Phys. 54:3335 (1971).

    Google Scholar 

  12. O. E. Lanford III, inStatistical Mechanics and Mathematical Problems (Battelle Seattle 1971 Rencontres, Springer-Verlag, 1973).

Download references

Author information

Author notes

  1. Joel Lebowitz

    Present address: Department of Mathematics, Rutgers University, New Brunswick, New Jersey

Authors and Affiliations

  1. Department of Physics, Princeton University, Princeton, New Jersey

    Michael Aizenman

  2. Centre D'etudes Nucleaires De Saclay, Gif-Sur-Yvette, France

    Joel Lebowitz

  3. Departamento de Fisica Teorica, Universidad de Barcelona, Barcelona, Spain

    Joaquin Marro

Authors
  1. Michael Aizenman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Joel Lebowitz
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Joaquin Marro
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported by NSF grant No. MCS 75-21684 A01 (M. A.), NSF grant No. MPS 75-20638 (J. L.), and USAFOSR grant No. 73-2430 B (J. M.)

John Guggenheim Fellow on sabbatical leave from Belfer Graduate School of Science, Yeshiva University, New York.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aizenman, M., Lebowitz, J. & Marro, J. Time-displaced correlation functions in an infinite one-dimensional mixture of hard rods with different diameters. J Stat Phys 18, 179–190 (1978). https://doi.org/10.1007/BF01014309

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01014309

Key words

Search

Navigation