IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v478y2017icp103-112.html
   My bibliography  Save this article

Three-particle correlations in liquid and amorphous aluminium

Author

Listed:
  • Galimzyanov, Bulat N.
  • Mokshin, Anatolii V.

Abstract

Analysis of three-particle correlations is performed on the basis of simulation data of atomic dynamics in liquid and amorphous aluminium. A three-particle correlation function is introduced to characterize the relative positions of various three particles—the so-called triplets. Various configurations of triplets are found by calculation of pair and three-particle correlation functions. It was found that in the case of liquid aluminium with temperatures 1000 K, 1500 K, and 2000 K the three-particle correlations are more pronounced within the spatial scales, comparable with a size of the second coordination sphere. In the case of amorphous aluminium with temperatures 50 K, 100 K, and 150 K these correlations in the mutual arrangement of three particles are manifested up to spatial scales, which are comparable with a size of the third coordination sphere. Temporal evolution of three-particle correlations is analyzed by using a time-dependent three-particle correlation function, for which an integro-differential equation of type of the generalized Langevin equation is output with help of projection operators technique. A solution of this equation by means of mode-coupling theory is compared with our simulation results. It was found that this solution correctly reproduces the behavior of the time-dependent three-particle correlation functions for liquid and amorphous aluminium.

Suggested Citation

  • Galimzyanov, Bulat N. & Mokshin, Anatolii V., 2017. "Three-particle correlations in liquid and amorphous aluminium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 478(C), pages 103-112.
    • Handle: RePEc:eee:phsmap:v:478:y:2017:i:c:p:103-112
    DOI: 10.1016/j.physa.2017.02.077
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117302005
    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/j.physa.2017.02.077?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. Khusnutdinoff, Ramil M. & Mokshin, Anatolii V., 2012. "Vibrational features of water at the low-density/high-density liquid structural transformations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(9), pages 2842-2847.
    2. Yulmetyev, Renat M. & Mokshin, Anatolii V. & Hänggi, Peter, 2005. "Universal approach to overcoming nonstationarity, unsteadiness and non-Markovity of stochastic processes in complex systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 303-325.
    3. Poole, Peter H. & Donati, Claudio & Glotzer, Sharon C., 1998. "Spatial correlations of particle displacements in a glass-forming liquid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(1), pages 51-59.
    4. Tokuyama, Michio, 2007. "Similarities in diversely different glass-forming systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 157-166.
    5. Yulmetyev, Renat & Khusnutdinoff, Ramil & Tezel, Timur & Iravul, Yildiz & Tuzel, Bekir & Hänggi, Peter, 2009. "The study of dynamic singularities of seismic signals by the generalized Langevin equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3629-3635.
    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. Yulmetyev, R.M. & Demin, S.A. & Panischev, O. Yu. & Hänggi, Peter & Timashev, S.F. & Vstovsky, G.V., 2006. "Regular and stochastic behavior of Parkinsonian pathological tremor signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 655-678.

    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:478:y:2017:i:c:p:103-112. 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.