Orientational Order in Liquids: A Possible Scenario of Freezing

S. Dattagupta; L. A. Turski

doi:10.1103/PhysRevLett.54.2359

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Orientational Order in Liquids: A Possible Scenario of Freezing

S. Dattagupta^* and L. A. Turski^†

Institut für Festkörperforschung der Kernforschungsanlage Jülich, D-5170 Jülich, Federal Republic of Germany

^*Permanent address: School of Physics, University of Hyderabad, Hyderabad 500134, Andhra Pradesh, India.
^†Permanent address: Institute for Theoretical Physics, Polish Academy of Sciences, Al. Lotnikow 32/46, 02-668 Warszawa, Poland.

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Phys. Rev. Lett. 54, 2359 – Published 27 May, 1985Erratum Phys. Rev. Lett. 55, 1537 (1985)

DOI: https://doi.org/10.1103/PhysRevLett.54.2359

Abstract

A new model of liquid-solid freezing, based on the orientational order in a three-dimensional liquid, is proposed. The novel aspect of the model is the inclusion of the coupling between the orientational and elastic degrees of freedom in a dense liquid. This allows for the explicit computation of several thermodynamic quantities of interest near the freezing transition.

Erratum

Orientational Order in Liquids: A Possible Scenario of Freezing

S. Dattagupta and L. A. Turski

Phys. Rev. Lett. 55, 1537 (1985)

References (25)

C. A. Angell, I. H. R. Clark, and L. V. Woodcock, Adv. Chem. Phys. 48, 397 (1981)
D. Frenkel and J. P. McTauge, Annu. Rev. Phys. Chem. 31, 491 (1980)
R. C. Mountain and P. K. Basu, Phys. Rev. A 28, 370 (1983)
J. G. Kirkwood and E. Monroe, J. Chem. Phys. 9, 514 (1941)
A. Sjölander and L. A. Turski, J. Phys. C 11, 1973 (1978) H. B. Singh and A. Holz, Physica (Utrecht) 117A, 497 (1983)
Sjölander and Turski, [5]
U. Bengtzelius, W. Götze, and A. Sjölander, J. Phys. C 17, 5915 (1984)
R. D. Mountain and A. C. Brown, J. Chem. Phys. 80, 2730 (1984) [3]
P. A. Egelstaff, An Introduction to the Liquid State (Academic, London, 1967)
P. Steinhardt, D. R. Nelson, and M. Ronchetti, Phys. Rev. Lett. 47, 1297 (1981)
J. Frenkel, The Kinetic Theory of Liquids (Dover, New York, 1955)
S.Hess, Z. Naturforsch. 35a, 69 (1979)
A. S. Mitus and A. Z. Patashinskii, Zh. Eksp. Teor. Fiz. 80, 1554 (1981) [Sov. Phys. JETP 53(4), 798 (1981)]
A. D. J. Haymet, Phys. Rev. B 27, 1725 (1983)
T. Schneider et al., Phys. Rev. A 3, 2145 (1971)
L. A. Turski, Bull. Acad. Pol. Sci. Ser. Sci. Tech. 14, 289 (1966)
M. Zorawski, Théorie Mathematique des Dislocations (Dunod, Paris, 1967)
D. R. Nelson and J. Toner, Phys. Rev. B 24, 363 (1981)
L. Gunther, D. J. Bergman, and Y. Imry, Phys. Rev. Lett. 27, 558 (1971)
J. Jäckle, J. Chem. Phys. 79, 4463 (1983)
S. Dattagupta, R. Balakrishnan, and R. Ranganathan, J. Phys. F. 12, 1345 (1982)
T. V. Ramakrishnan and M. Yussouff, Phys. Rev. B 19, 2775 (1979) A. D. J. Haymet, Phys. Rev. Lett. 52, 2775 (1979)
Y. Saito and H. Müller-Krumbhaar, in Applications of the Monte-Carlo Method in Statistical Physics, edited by K. Binder (Springer-Verlag, Berlin, 1984)
Y. Saito, Phys. Rev. Lett. 48, 1114 (1982)
S. P. Das, G. F. Mazenko, S. Ramaswamy, and J. J. Toner, to be published

[c1] C. A. Angell, I. H. R. Clark, and L. V. Woodcock, Adv. Chem. Phys. 48, 397 (1981)

[c2] D. Frenkel and J. P. McTauge, Annu. Rev. Phys. Chem. 31, 491 (1980)

[c3] R. C. Mountain and P. K. Basu, Phys. Rev. A 28, 370 (1983)

[c4] J. G. Kirkwood and E. Monroe, J. Chem. Phys. 9, 514 (1941)

[c5] A. Sjölander and L. A. Turski, J. Phys. C 11, 1973 (1978) H. B. Singh and A. Holz, Physica (Utrecht) 117A, 497 (1983)

[c6] Sjölander and Turski, [5]

[c7] U. Bengtzelius, W. Götze, and A. Sjölander, J. Phys. C 17, 5915 (1984)

[c8] R. D. Mountain and A. C. Brown, J. Chem. Phys. 80, 2730 (1984) [3]

[c9] P. A. Egelstaff, An Introduction to the Liquid State (Academic, London, 1967)

[c10] P. Steinhardt, D. R. Nelson, and M. Ronchetti, Phys. Rev. Lett. 47, 1297 (1981)

[c11] J. Frenkel, The Kinetic Theory of Liquids (Dover, New York, 1955)

[c12] S.Hess, Z. Naturforsch. 35a, 69 (1979)

[c13] A. S. Mitus and A. Z. Patashinskii, Zh. Eksp. Teor. Fiz. 80, 1554 (1981) [Sov. Phys. JETP 53(4), 798 (1981)]

[c14] A. D. J. Haymet, Phys. Rev. B 27, 1725 (1983)

[c15] T. Schneider et al., Phys. Rev. A 3, 2145 (1971)

[c16] L. A. Turski, Bull. Acad. Pol. Sci. Ser. Sci. Tech. 14, 289 (1966)

[c17] M. Zorawski, Théorie Mathematique des Dislocations (Dunod, Paris, 1967)

[c18] D. R. Nelson and J. Toner, Phys. Rev. B 24, 363 (1981)

[c19] L. Gunther, D. J. Bergman, and Y. Imry, Phys. Rev. Lett. 27, 558 (1971)

[c20] J. Jäckle, J. Chem. Phys. 79, 4463 (1983)

[c21] S. Dattagupta, R. Balakrishnan, and R. Ranganathan, J. Phys. F. 12, 1345 (1982)

[c22] T. V. Ramakrishnan and M. Yussouff, Phys. Rev. B 19, 2775 (1979) A. D. J. Haymet, Phys. Rev. Lett. 52, 2775 (1979)

[c23] Y. Saito and H. Müller-Krumbhaar, in Applications of the Monte-Carlo Method in Statistical Physics, edited by K. Binder (Springer-Verlag, Berlin, 1984)

[c24] Y. Saito, Phys. Rev. Lett. 48, 1114 (1982)

[c25] S. P. Das, G. F. Mazenko, S. Ramaswamy, and J. J. Toner, to be published

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Orientational Order in Liquids: A Possible Scenario of Freezing

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Orientational Order in Liquids: A Possible Scenario of Freezing

References (25)

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