IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v305y2002i1p157-171.html

Generalized parallel sampling

Author

Listed:
  • Whitfield, T.W.
  • Bu, L.
  • Straub, J.E.

Abstract

We develop a generalized version of the parallel tempering algorithm, based upon the non-extensive thermostatistics of Tsallis and coworkers. The effectiveness of the method is demonstrated on a simple one-dimensional problem and on a Lennard-Jones cluster.

Suggested Citation

  • Whitfield, T.W. & Bu, L. & Straub, J.E., 2002. "Generalized parallel sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 305(1), pages 157-171.
    • Handle: RePEc:eee:phsmap:v:305:y:2002:i:1:p:157-171
    DOI: 10.1016/S0378-4371(01)00656-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437101006562
    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/S0378-4371(01)00656-2?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Raymond D. Mountain & D. Thirumalai, 1990. "Ergodic Convergence In Liquids And Glasses," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 77-89.
    2. Tsallis, Constantino & Mendes, RenioS. & Plastino, A.R., 1998. "The role of constraints within generalized nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 261(3), pages 534-554.
    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. David Geisel & Peter Lenz, 2022. "Machine learning classification of trajectories from molecular dynamics simulations of chromosome segregation," PLOS ONE, Public Library of Science, vol. 17(1), pages 1-33, January.

    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. Naif Alotaibi & A. S. Al-Moisheer & Ibrahim Elbatal & Mansour Shrahili & Mohammed Elgarhy & Ehab M. Almetwally, 2023. "Half Logistic Inverted Nadarajah–Haghighi Distribution under Ranked Set Sampling with Applications," Mathematics, MDPI, vol. 11(7), pages 1-32, April.
    2. Gran, Joseph D. & Rundle, John B. & Turcotte, Donald L. & Holliday, James R. & Klein, William, 2011. "A damage model based on failure threshold weakening," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(7), pages 1269-1278.
    3. Meyer-Gohde, Alexander, 2019. "Generalized entropy and model uncertainty," Journal of Economic Theory, Elsevier, vol. 183(C), pages 312-343.
    4. da Silva, Sérgio Luiz Eduardo Ferreira, 2021. "Newton’s cooling law in generalised statistical mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    5. Masi, Marco, 2007. "On the extended Kolmogorov–Nagumo information-entropy theory, the q→1/q duality and its possible implications for a non-extensive two-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 67-78.
    6. Masamichi Ishihara, 2023. "Thermodynamic quantities of independent harmonic oscillators in microcanonical and canonical ensembles in the Tsallis statistics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(1), pages 1-12, January.
    7. Shigeru Furuichi, 2011. "Characterizations of Generalized Entropy Functions by Functional Equations," Advances in Mathematical Physics, John Wiley & Sons, vol. 2011(1).
    8. Liu, Wei & Ma, Qianting & Liu, Xiaoxing, 2022. "Research on the dynamic evolution and its influencing factors of stock correlation network in the Chinese new energy market," Finance Research Letters, Elsevier, vol. 45(C).
    9. Deeb, Omar El, 2023. "Entropic spatial auto-correlation of voter uncertainty and voter transitions in parliamentary elections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
    10. Han, Hongpei & Long, Liu, 2026. "Influence of magnetic fields on quantum thermodynamics of a stirling engine with Heisenberg XXX model under Dzyaloshinskii–Moriya interaction using Tsallis and Shannon entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 685(C).
    11. Cirto, Leonardo J.L. & Assis, Vladimir R.V. & Tsallis, Constantino, 2014. "Influence of the interaction range on the thermostatistics of a classical many-body system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 286-296.
    12. Campos, Diógenes, 2011. "A thermodynamic-like approach for the study of probabilistic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 214-222.
    13. Masamichi Ishihara, 2022. "Thermodynamics of the independent harmonic oscillators with different frequencies in the Tsallis statistics in the high physical temperature approximation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(3), pages 1-10, March.
    14. Naudts, Jan, 2004. "Generalized thermostatistics based on deformed exponential and logarithmic functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 32-40.
    15. Salas, Hernán D. & Poveda, Germán, 2015. "Scaling of entropy and multi-scaling of the time generalized q-entropy in rainfall and streamflows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 423(C), pages 11-26.
    16. Gayen, Atin & Kumar, M. Ashok, 2021. "Projection theorems and estimating equations for power-law models," Journal of Multivariate Analysis, Elsevier, vol. 184(C).
    17. Majid Asadi & Karthik Devarajan & Nader Ebrahimi & Ehsan Soofi & Lauren Spirko‐Burns, 2022. "Elaboration Models with Symmetric Information Divergence," International Statistical Review, International Statistical Institute, vol. 90(3), pages 499-524, December.
    18. Ou, Congjie & Huang, Zhifu & Chen, Jincan & El Kaabouchi, A. & Nivanen, L. & Le Méhauté, A. & Wang, Qiuping A., 2009. "A basic problem in the correlations between statistics and thermodynamics," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2313-2318.
    19. Asgarani, Somayeh & Mirza, Behrouz, 2015. "Two-parameter entropies, Sk,r, and their dualities," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 417(C), pages 185-192.
    20. Ishiwata, Ryosuke & Sugiyama, Yūki, 2012. "Relationships between power-law long-range interactions and fractional mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 5827-5838.

    More about this item

    Keywords

    ;
    ;
    ;

    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:305:y:2002:i:1:p:157-171. 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.