IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v140y1986i1p35-43.html
   My bibliography  Save this article

Decay of metastable and unstable states: Mechanisms, concepts and open problems

Author

Listed:
  • Binder, K.

Abstract

The decay of metastable states is initiated by a nucleation process in which a free energy barrier is overcome, while in unstable states fluctuations can grow unaffected by such a barrier. The first part of this review considers the significance of the spinodal line separating the metastable and unstable regime. A Ginzburg criterion for the validity of the spinodal line, as well as for the mean-field theory of nucleation and the linear theory of spinodal decomposition will be discussed. Evidence from simulations and experiments will be mentioned.

Suggested Citation

  • Binder, K., 1986. "Decay of metastable and unstable states: Mechanisms, concepts and open problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 35-43.
  • Handle: RePEc:eee:phsmap:v:140:y:1986:i:1:p:35-43
    DOI: 10.1016/0378-4371(86)90202-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437186902025
    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(86)90202-5?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. John D. Whittaker & Randolph P. Angle & David J. Wilson & Mitchell G. Choukalos, 1982. "Risk‐Based Zoning for Toxic‐Gas Pipelines," Risk Analysis, John Wiley & Sons, vol. 2(3), pages 163-169, September.
    2. Cassell, E.J. & Lebowitz, M.D. & Wolter, D.W. & McCarroll, J.R., 1971. "Health and the urban environment. IX. The concept of the multiplex independent variable," American Journal of Public Health, American Public Health Association, vol. 61(12), pages 2348-2353.
    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. Pawlicki, P. & Kamieniarz, G. & Dȩbski, L., 1997. "Monte Carlo analysis of the extended Ashkin-Teller model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(1), pages 290-298.
    2. Benyoussef, A. & Ez-Zahraouy, H., 1994. "Layering transitions in Ising model thin films. A real space renormalization group analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(1), pages 196-206.
    3. Nielaba, P. & Heermann, Dieter W., 1991. "Dynamical block analysis in a non-equilibrium system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 170(3), pages 471-487.
    4. Yamagata, Atsushi, 1994. "Finite-size effects in the quasi-two-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(4), pages 665-676.
    5. Privman, Vladimir, 1991. "Finite-size scaling: new results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 241-246.
    6. Gündüç, Y. & Aydin, M., 1996. "Dynamics of clusters in the two-dimensional Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 265-272.
    7. Çelik, T. & Gündüç, Y. & Aydin, M., 1997. "Two-dimensional seven-state Potts model under external magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 238(1), pages 353-360.
    8. Aydin, Meral & Gündüç, Yiğit & Çelik, Tarik, 1996. "Study of cluster fluctuations in the two-dimensional q-state Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(3), pages 651-657.
    9. Reiter, Johannes, 1993. "Phase transitions in systems of lattice-dimers with nearest neighbor interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(2), pages 149-172.
    10. Velasco, S. & White, J.A. & Güémez, J., 1996. "Spontaneous magnetization probability distribution of a mean-field finite Ising model exhibiting a tricritical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(1), pages 141-157.

    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. Tokuyama, Michio & Enomoto, Yoshihisa, 1995. "Effects of encounters on phase separation dynamics from diffusion-controlled growth to coarsening," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 261-276.
    2. Durand-Vidal, Serge & Turq, Pierre & Bernard, Olivier & Treiner, Claude & Blum, Lesser, 1996. "New perspectives in transport phenomena in electrolytes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 231(1), pages 123-143.
    3. Günther, C.C.A. & Rikvold, P.A. & Novotny, M.A., 1994. "Application of a constrained-transfer-matrix method to metastability in the d = 2 Ising ferromagnet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 212(1), pages 194-229.
    4. Wadley, David A. & Han, Jung Hoon & Elliott, Peter G., 2019. "Risk hidden in plain sight: Explaining homeowner perceptions of electricity transmission infrastructure," Energy Policy, Elsevier, vol. 132(C), pages 744-753.
    5. Colonna-Romano, Louis & Mel'cuk, Andrew I. & Gould, Harvey & Klein, W., 1994. "Relaxation to equilibrium of single cluster dynamics of the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 209(3), pages 396-409.
    6. Nieuwenhuizen, T.M., 1982. "A new approach to the problem of disordered harmonic chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 113(1), pages 173-202.
    7. Calvo, Miguel, 1991. "The character of the metastable phase singularities near the spinodal line," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 339-344.
    8. Verhaegh, Nynke A.M. & van Duijneveldt, Jeroen S. & Dhont, Jan K.G. & Lekkerkerker, Henk N.W., 1996. "Fluid-fluid phase separation in colloid-polymer mixtures studied with small angle light scattering and light microscopy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(3), pages 409-436.
    9. Enomoto, Yoshihisa & Tokuyama, Michio, 1996. "Encounter effects on the dynamics of fluctuations in phase separations of off-critically quenched binary systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 304-314.

    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:140:y:1986:i:1:p:35-43. 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.