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

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  • 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
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    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.

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