IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v90y1978i3p365-409.html
   My bibliography  Save this article

Three-particle collision effects in the transport properties of a gas of hard spheres

Author

Listed:
  • Sengers, J.V.
  • Gillespie, D.T.
  • Perez-Esandi, J.J.

Abstract

A complete description of the kinetic behavior of a moderately dense gas requires an assessment of the effects of three-particle correlations. These correlations are of both a statistical and a dynamical nature. For a gas of hard spheres they can be classified as related to sequences of one, two, three and four successive collisions among three molecules. A quantitative analysis is made of the contributions of these collision sequences to the initial density dependence of the transport properties.

Suggested Citation

  • Sengers, J.V. & Gillespie, D.T. & Perez-Esandi, J.J., 1978. "Three-particle collision effects in the transport properties of a gas of hard spheres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(3), pages 365-409.
    • Handle: RePEc:eee:phsmap:v:90:y:1978:i:3:p:365-409
    DOI: 10.1016/0378-4371(78)90001-8
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437178900018
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(78)90001-8?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Dorfman, Robert, 1969. "An Economic Interpretation of Optimal Control Theory," American Economic Review, American Economic Association, vol. 59(5), pages 817-831, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Anisimov, M.A & Gorodetskii, E.E & Kulikov, V.D & Povodyrev, A.A & Sengers, J.V, 1995. "A general isomorphism approach to thermodynamic and transport properties of binary fluid mixtures near critical points," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 277-324.
    2. van Leeuwen, J.M.J. & Sengers, J.V., 1984. "Gravity effects on the correlation length in gases near the critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(1), pages 99-131.
    3. Morita, T. & Sato, H. & Uematsu, M. & Watanabe, K., 1989. "PVT properties and vapor-pressures of ordinary water substance in the critical region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 156(1), pages 436-453.
    4. Sengers, J.V. & Bedeaux, D. & Mazur, P. & Greer, S.C., 1980. "Behavior of the dielectric constant of fluids near a critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(3), pages 573-594.
    5. Tang, S. & Sengers, J.V. & Chen, Z.Y., 1991. "Nonasymptotic critical thermodynamical behavior of fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 179(3), pages 344-377.
    6. Trappeniers, N.J. & Boots, H.M.J. & Huijser, R.H. & Michels, A.C., 1980. "Investigation of multiple scattering contributions to the depolarization of light scattered by xenon and carbon dioxide in the critical region," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 103(3), pages 455-467.
    7. Sengers, J.V. & Van Leeuwen, J.M.J., 1982. "Nonlocal gravity-induced density profiles in gases near the critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 116(3), pages 345-367.
    8. Van Leeuwen, J.M.J. & Sengers, J.V., 1989. "Capillary waves of a vapor-liquid interface in a gravitational field very close to the critical temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(2), pages 839-856.
    9. Povodyrev, A.A. & Anisimov, M.A. & Sengers, J.V. & Levelt Sengers, J.M.H., 1997. "Vapor-liquid equilibria, scaling, and crossover in aqueous solutions of sodium chloride near the critical line," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 298-328.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cairns, Robert D. & Del Campo, Stellio & Martinet, Vincent, 2019. "Sustainability of an economy relying on two reproducible assets," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 145-160.
    2. Trapp, James N., 1989. "The Dawning Of The Age Of Dynamic Theory: Its Implications For Agricultural Economics Research And Teaching," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 21(1), pages 1-11, July.
    3. de La Grandville Olivier, 2012. "How Much Should a Nation Save? A New Answer," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(2), pages 1-36, April.
    4. Marcel Savioz, 1990. "Investment and Maintenance in the Aviation Industry," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 126(I), pages 17-38, March.
    5. Thorsten Wichmann, 1995. "Food Consumption and Growth in a Two Sector Economy - A Theoretical Model and Numerical Simulations," Berlecon Research Papers 0001, Berlecon Research.
    6. Guerrazzi, Marco, 2012. "The animal spirits hypothesis and the Benhabib–Farmer condition for indeterminacy," Economic Modelling, Elsevier, vol. 29(4), pages 1489-1497.
    7. Altobello, Marilyn A. & Diamond, Joseph E., 1980. "The Use Of Optimal Control Techniques For Managing The International Radio Spectrum," Northeastern Journal of Agricultural and Resource Economics, Northeastern Agricultural and Resource Economics Association, vol. 0(Number 2), pages 1-5, October.
    8. Steger, Thomas M., 2005. "Stochastic growth under Wiener and Poisson uncertainty," Economics Letters, Elsevier, vol. 86(3), pages 311-316, March.
    9. Sasmal, Joydeb & Weikard, Hans-Peter, 2013. "Soil Degradation, Policy Intervention and Sustainable Agricultural Growth," Quarterly Journal of International Agriculture, Humboldt-Universitaat zu Berlin, vol. 52(4), pages 1-20, November.
    10. Ekbom, Anders & Brown, Gardner M. & Sterner, Thomas, 2009. "Muddy Waters: Soil Erosion and Downstream Externalities," Working Papers in Economics 341, University of Gothenburg, Department of Economics.
    11. Siebert, Horst, 1974. "Infrastruktur und Wachstum," Open Access Publications from Kiel Institute for the World Economy 4276, Kiel Institute for the World Economy (IfW Kiel).
    12. Elkhan Richard Sadik-Zada, 2021. "An Ode to ODA against all Odds? A Novel Game-Theoretical and Empirical Reappraisal of the Terrorism-Aid Nexus," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 49(2), pages 221-240, June.
    13. Thomas M. Steger, 2000. "Productive Consumption and Growth in Developing Countries," Review of Development Economics, Wiley Blackwell, vol. 4(3), pages 365-375, October.
    14. Barry, Peter J., 1985. "A Dynamic Model Of The Debt-Equity Structure Of A Proprietory Firm: Discussion," Regional Research Projects > 1985: S-180 Annual Meeting, March 24-27, 1985, Charleston, South Carolina 271802, Regional Research Projects > S-180: An Economic Analysis of Risk Management Strategies for Agricultural Production Firms.
    15. Codastefano, P. & Rocca, D. & Zanza, V., 1979. "Search for a logarithmic term in the density expansion of the diffusion coefficient of Kr in Xe," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 96(3), pages 454-464.
    16. Arnott, Richard & Kraus, Marvin, 1998. "When are anonymous congestion charges consistent with marginal cost pricing?," Journal of Public Economics, Elsevier, vol. 67(1), pages 45-64, January.
    17. Pongkijvorasin, Sittidaj & Pitafi, Basharat A.K. & Roumasset, James A., 2006. "Pricing Resource Extraction With Stock Externalities," 2006 Annual meeting, July 23-26, Long Beach, CA 21340, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    18. Leighty, Wayne, 2008. "Modeling of Energy Production Decisions: An Alaska Oil Case Study," Institute of Transportation Studies, Working Paper Series qt8005v9q4, Institute of Transportation Studies, UC Davis.
    19. Felderhof, B.U. & Jones, R.B., 1983. "Cluster expansion of the diffusion kernel of a suspension of interacting Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(1), pages 329-344.
    20. Sasmal, Joydeb, 2014. "Foodgrains Production in India – How Serious is the Shortage of Water Supply for Future Growth?," Indian Journal of Agricultural Economics, Indian Society of Agricultural Economics, vol. 69(2), pages 1-14.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:90:y:1978:i:3:p:365-409. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.