IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v117y1983i2p405-426.html
   My bibliography  Save this article

A fine-grained master equation theory of chemical reaction fluctuations

Author

Listed:
  • Keizer, Joel
  • Conlan, F.J.

Abstract

We develop here a theory of molecular fluctuations caused by chemical reactions which keeps track of the chemical identity of individual molecules. The theory is Markovian and can be used to derive birth and death equations for number fluctuations which are identical to the customary coarse-grained chemical “master equation”. We also derive the hierarchy of equations which govern the correlations among groups of particles. These equations uncouple only in the case of strictly unimolecular reactions. For bimolecular reactions we prove a version of Kac's factorization theorem and use it to solve the hierarchy in the thermodynamic limit. Finally, we discuss the relationship of the birth and death theory to our fine-grained theory and examine their mutual limitations.

Suggested Citation

  • Keizer, Joel & Conlan, F.J., 1983. "A fine-grained master equation theory of chemical reaction fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(2), pages 405-426.
    • Handle: RePEc:eee:phsmap:v:117:y:1983:i:2:p:405-426
    DOI: 10.1016/0378-4371(83)90124-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437183901243
    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(83)90124-3?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. Medina-Noyola, Magdaleno & Keizer, Joel, 1981. "Spatial correlations in nonequilibrium systems: The effect of diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(3), pages 437-463.
    Full references (including those not matched with items on IDEAS)

    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. Keizer, Joel & Medina-Noyola, Magdaleno, 1982. "Spatially nonlocal fluctuation theories: Hydrodynamic fluctuations for simple fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 115(3), pages 301-338.
    2. Keizer, Joel, 1983. "Steady state thermodynamics and spatial correlations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 118(1), pages 350-359.

    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:117:y:1983:i:2:p:405-426. 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.