IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v166y1990i2p229-262.html
   My bibliography  Save this article

Thermodynamics of mesoscopic soft modes in strongly disturbed lattices

Author

Listed:
  • Wagner, Max
  • Mougios, Theodor

Abstract

A generalized Lifshitz procedure is developed, which allows the evaluation of frequency densities in mesoscopically disturbed harmonic lattices. Archetypical examples are calculated explicitly. In particular it is shown that lattice softening at mesoscopically distant sites produces a low-frequency enhancement of the increase in mode density, which may be ascribed to the oscillation of mesoscopically large masses. Possible relevance for the anomalous low-temperature behaviour of amorphous systems is discussed.

Suggested Citation

  • Wagner, Max & Mougios, Theodor, 1990. "Thermodynamics of mesoscopic soft modes in strongly disturbed lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 166(2), pages 229-262.
  • Handle: RePEc:eee:phsmap:v:166:y:1990:i:2:p:229-262
    DOI: 10.1016/0378-4371(90)90015-K
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719090015K
    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(90)90015-K?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. Denos Gazis & Robert Herman & Alexei Maradudin, 1960. "The Problem of the Amber Signal Light in Traffic Flow," Operations Research, INFORMS, vol. 8(1), pages 112-132, February.
    2. Pohle, Wolfgang, 1971. "Direct investment as seen by German Industry," Intereconomics – Review of European Economic Policy (1966 - 1988), ZBW - Leibniz Information Centre for Economics, vol. 6(10), pages 314-317.
    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. Grimm, Markus & Wagner, Max, 1994. "Mode densities of defect lines in three-dimensional Montroll-Potts lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(1), pages 1-23.

    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. Grimm, Markus & Wagner, Max, 1994. "Mode densities of defect lines in three-dimensional Montroll-Potts lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(1), pages 1-23.
    2. Moon, Young J. & Coleman, Fred, 2003. "Dynamic dilemma zone based on driver behavior and car-following model at highway-rail intersections," Transportation Research Part B: Methodological, Elsevier, vol. 37(4), pages 323-344, May.
    3. Tomasz Krukowicz & Krzysztof Firląg & Józef Suda & Mirosław Czerliński, 2021. "Analysis of the Impact of Countdown Signal Timers on Driving Behavior and Road Safety," Energies, MDPI, vol. 14(21), pages 1-33, October.
    4. Kjems, Jørgen K., 1992. "Thermal transport in fractal systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 328-334.
    5. Juan Li & Xudong Jia & Chunfu Shao, 2016. "Predicting Driver Behavior during the Yellow Interval Using Video Surveillance," IJERPH, MDPI, vol. 13(12), pages 1-15, December.
    6. Lu, Guangquan & Wang, Yunpeng & Wu, Xinkai & Liu, Henry X., 2015. "Analysis of yellow-light running at signalized intersections using high-resolution traffic data," Transportation Research Part A: Policy and Practice, Elsevier, vol. 73(C), pages 39-52.
    7. Ventevogel, W.J., 1978. "On the configuration of a one-dimensional system of interacting particles with minimum potential energy per particle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 92(3), pages 343-361.
    8. Bara’ W. AL-MISTAREHI & Ahmad H. ALOMARI & Mohammed T. OBAIDAT & Areen A. AL-JAMMAL, 2021. "Driver Performance Through The Yellow Phase Using Video Cameras At Urban Signalized Intersections," Transport Problems, Silesian University of Technology, Faculty of Transport, vol. 16(1), pages 51-64, March.
    9. Bao, Ji & Chen, Qun & Luo, Dandan & Wu, Yuli & Liang, Zuli, 2018. "Exploring the impact of signal types and adjacent vehicles on drivers’ choices after the onset of yellow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 500(C), pages 222-236.
    10. Denos C. Gazis, 2002. "The Origins of Traffic Theory," Operations Research, INFORMS, vol. 50(1), pages 69-77, February.
    11. Juan Li & Qinglian He & Hang Zhou & Yunlin Guan & Wei Dai, 2016. "Modeling Driver Behavior near Intersections in Hidden Markov Model," IJERPH, MDPI, vol. 13(12), pages 1-15, December.
    12. Felderhof, B.U., 1985. "Wigner solids and diffusion controlled reactions in a regular array of spheres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(1), pages 34-56.
    13. Schober, H.R., 1993. "Soft phonons in glasses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(1), pages 14-24.
    14. Venema, P. & Bedeaux, D., 1989. "Reaction-diffusion on a periodic array of penetrable spherical sinks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 156(3), pages 835-852.

    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:166:y:1990:i:2:p:229-262. 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.