IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v214y1995i4p547-559.html
   My bibliography  Save this article

Damage spreading and critical exponents for “model A” Ising dynamics

Author

Listed:
  • Grassberger, Peter

Abstract

Using damage spreading and heat bath dynamics, we study the Ising model in 2 and 3 dimensions with non-conservative dynamics. Our algorithm differs in some important points from previous ones, which makes it rather efficient. We give estimates for the exponent z which seem to be the most precise published so far (2.172 ± 0.006 for d = 2, 2.032 ± 0.004 for d = 3). We also give precise estimates of the exponent θ′ introduced by Janssen et al. (Z. Phys. B 73 (1989) 539) and of analogous but in principle independent exponents. We find surprisingly that some of the latter agree with θ′, and give an explanation for this.

Suggested Citation

  • Grassberger, Peter, 1995. "Damage spreading and critical exponents for “model A” Ising dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(4), pages 547-559.
    • Handle: RePEc:eee:phsmap:v:214:y:1995:i:4:p:547-559
    DOI: 10.1016/0378-4371(94)00285-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437194002852
    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(94)00285-2?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. Bray, R.M. & Marsden, M.E. & Peterson, M.R., 1991. "Standardized comparisons of the use of alcohol, drugs, and cigarettes among military personnel and civilians," American Journal of Public Health, American Public Health Association, vol. 81(7), pages 865-869.
    2. Giancarlo Gandolfo & Pier Carlo Padoan & Giuseppe De Arcangelis & Clifford R. Wymer, 1994. "The Italian Continuous Time Model: Results of the Nonlinear Estimation," CESifo Working Paper Series 69, CESifo.
    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. Rubio Puzzo, M. Leticia & Saracco, Gustavo P. & Bab, Marisa A., 2016. "Phase transitions and damage spreading in a nonequilibrium lattice gas model with mixed dynamic rules," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 476-486.
    2. Wang, Fugao & Suzuki, Masuo, 1995. "Finite-size scaling properties of the damage distance and dynamical critical exponent for the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 534-541.

    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. Gropengiesser, Uwe, 1995. "Damage spreading and critical exponents for ‘model A’ Ising dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 215(3), pages 308-310.
    2. Ben Schram & Robin Orr & Timothy Rigby & Rodney Pope, 2018. "An Analysis of Reported Dangerous Incidents, Exposures, and Near Misses amongst Army Soldiers," IJERPH, MDPI, vol. 15(8), pages 1-13, July.
    3. Wang, Fugao & Suzuki, Masuo, 1995. "Finite-size scaling properties of the damage distance and dynamical critical exponent for the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 534-541.
    4. Grassberger, Peter & Stauffer, Dietrich, 1996. "Stretched and non-stretched exponential relaxation in Ising ferromagnets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 171-179.
    5. Makowiec, Danuta, 1996. "Chaos in cellular automaton systems with Toom rule," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 435-442.
    6. Perlsman, Ehud & Schwartz, Moshe, 1996. "The directed polymer problem in general dimension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 234(1), pages 523-528.
    7. Jay Teachman & Lucky Tedrow, 2013. "Veteran Status and Body Weight: A Longitudinal Fixed-Effects Approach," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 32(2), pages 199-220, April.
    8. Antoniuk, M. & Kułakowski, K., 1996. "Damage spreading in non-frustrated phase of a triangular antiferromagnet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 162-170.
    9. Wang, Fugao & Suzuki, Masuo, 1996. "Time-evolution of damage in the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 223(1), pages 34-49.
    10. Z.B. Li, & X.W. Liu, & Schülke, L. & Zheng, B., 1997. "The short-time behaviour of a kinetic Ashkin-Teller model on the critical line," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 485-493.

    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:214:y:1995:i:4:p:547-559. 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.