Correction: Colligative Properties of Solutions: I. Fixed Concentrations (Journal of Statistical Physics, (2005), 119, 3-4, (479-507), 10.1007/s10955-005-3016-2);Colligative properties of solutions: I. Fixed concentrations

Journal of Statistical Physics

Volumn 119, Issue 3-4, 2005, Pages 479-507

  Alexander, Kenneth S ^a   Biskup, Marek ^b   Chayes, Lincoln ^b  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Canonical ensemble; Droplet transition; Freezing point depression; Ising model; Phase separation; Wulff construction

Indexed keywords

EID: 21644466203     PISSN: 00224715     EISSN: 15729613     Source Type: Journal    
DOI: 10.1007/s10955-023-03194-4     Document Type: Erratum

References (34)

1. K. S. Alexander, M. Biskup, and L. Chayes, Colligative properties of solutions II. Vanishing concentrations, next paper.
2. K. Alexander, J. T. Chayes, and L. Chayes, The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation, Commun. Math. Phys. 131:1-51, (1990).
3. Ph. Blanchard, L. Chayes, and D. Gandolfo, The random cluster representation for the infinite-spin Ising model: Application to QCD pure gauge theory, Nucl. Phys. B [FS] 588:229-252 (2000).
4. M. Biskup, L. Chayes, and R. Kotecký, Critical region for droplet formation in the two-dimensional Ising model, Commun. Math. Phys. 242(1-2):137-183 (2003).
5. M. Biskup, L. Chayes, and R. Kotecký, Comment on: "Theory of the evaporation/condensation transition of equilibrium droplets in finite volumes", Physica A 327:589-592 (2003).
6. T. Bodineau, The Wulff construction in three and more dimensions, Commun. Math. Phys. 207:197-229 (1999).
7. T. Bodineau, Slab Percolation for the Ising Model, math.PR/0309300.
8. T. Bodineau, D. Ioffe and Y. Velenik, Rigorous probabilistic analysis of equilibrium crystal shapes, J. Math. Phys. 41:1033-1098 (2000).
9. R. Cerf, Large deviations for three dimensional supercritical percolation, Astérisque 267:vi+177 (2000).
10. R. Cerf and A. Pisztora, On the Wulff crystal in the Ising model, Ann. Probab. 28:947-1017 (2000).
11. A. H. Cottrell, Theoretical Structural Metallurgy, (St. Martin's Press, New York, 1955).
12. P. Curie, Sur la formation des cristaux et sur les constantes capillaires de leurs différentes faces, Bull. Soc. Fr. Mineral. 8:145 (1885);
13. Reprinted in uvres de Pierre Curie, Gauthier-Villars, Paris, 1908, pp. 153-157.
14. A. Dembo and O. Zeitouni, Large Deviations Techniques and Applications (Springer Verlag, Inc., New York, 1998).
15. R. L. Dobrushin, R. Kotecký and S. B. Shlosman, Wulff construction. A Global Shape from Local Interaction, (Amer. Math. Soc., Providence, RI, 1992).
16. R. L. Dobrushin and S. B. Shlosman, in Probability Contributions to Statistical Mechanics, (Amer. Math. Soc., Providence, RI, 1994), pp. 91-219.
17. J. W. Gibbs, On the equilibrium of heterogeneous substances (1876), in Collected Works, Vol. 1., (Longmans, Green and Co., 1928).
18. K. M. Golden, Critical behavior of transport in sea ice, Physica B 338:274-283 (2003).
19. K. M. Golden, S. F. Ackley, and V. I. Lytle, The percolation phase transition in sea ice, Science 282:2238-2241 (1998).
20. P. E. Greenwood and J. Sun, Equivalences of the large deviation principle for Gibbs measures and critical balance in the Ising model, J. Statist. Phys. 86(1-2): 149-164 (1997).
21. P. E. Greenwood and J. Sun, On criticality for competing influences of boundary and external field in the Ising model, J. Statist. Phys. 92(1-2):35-45 (1998).
22. F. den Hollander, Large Deviations, Fields Institute Monographs, Vol 14 (American Mathematical Society, Providence, RI, 2000).
23. D. Ioffe and R. H. Schonmann, Dobrushin-Kotecký-Shlosman theorem up to the critical temperature, Commun. Math. Phys. 199:117-167 (1998).
24. R. Kotecký and I. Medved', Finite-size scaling for the 2D Ising model with minus boundary conditions, J. Statist. Phys. 104(5/6):905-943 (2001).
25. L. D. Landau and E. M. Lifshitz, Statistical Physics, Course of Theoretical Physics, Vol. 5 (Pergamon Press, New York, 1977).
26. T. D. Lee and C. N. Yang, Statistical theory of equations of state and phase transitions: II. Lattice gas and Ising model, Phys. Rev. 87:410-419 (1952).
27. M. Matsumoto, S. Saito and I. Ohmine, Molecular dynamics simulation of the ice nucleation and proces leading to water freezing, Nature 416:409-413 (2002).
28. W. J. Moore, Physical Chemistry, 4th ed. (Prentice Hall, Inc., Englewood Cliffs, NJ 1972).
29. C.-E. Pfister, Large deviations and phase separation in the two-dimensional Ising model, Helv. Phys. Acta 64:953-1054 (1991).
30. C.-E. Pfister and Y. Velenik, Large deviations and continuum limit in the 2D Ising model, Probab. Theory Rel. Fields 109:435-506 (1997).
31. R. H. Schonmann and S. B. Shlosman, Constrained variational problem with applications to the Ising model, J. Statist. Phys. 83(5-6):867-905 (1996).
32. Ya. G. Sinaǐ, Theory of Phase Transitions: Rigorous Results, International Series in Natural Philosophy, Vol. 108 (Pergamon Press, Oxford-Elmsford, NY, 1982).
33. C. Rottman and M. Wortis, Statistical mechanics of equilibrium crystal shapes: Interfacial phase diagrams and phase transitions, Phys. Rep. 103:59-79 (1984).
34. G. Wulff, Zur Frage des Geschwindigkeit des Wachsturms und der Auflösung der Krystallflachen, Z. Krystallog. Mineral. 34:449-530 (1901).