Abstract
In Chap. 2, we introduced kinetic Ising models and the corresponding coarse-grained models for order-parameter kinetics. We also discussed the utility of these models in the context of phase ordering dynamics or domain growth kinetics, viz., the far-from-equilibrium evolution of a homogeneous multiphase mixture which has been rendered thermodynamically unstable by a rapid change of parameters, e.g., temperature, pressure, etc. These nonequilibrium problems have been the subject of intense experimental, theoretical and numerical investigation in recent years [67,80–82].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
K. Binder, in Materials Science and Technology Vol. 5: Phase Transformations of Materials, ed. by R.W. Cahn, P. Haasen and E.J. Kramer ( VCH, Weinheim 1991 ), p. 405
A.J. Bray, Adv. Phys. 43, 357 (1994)
A. Onuki, Phase Transition Dynamics ( Cambridge University Press, Cambridge 2002 )
I.M. Lifshitz, Sov. Phys. JETP 15, 939 (1962); S.M. Allen and J.W. Cahn, Acta Metall. 27, 1085 (1979)
K. Binder and D. Stauffer, Phys. Rev. Lett. 33, 1006 (1974); Z. Phys. B 24, 406 (1976)
G. Porod, in Small-Angle X-Ray Scattering, ed. by O. Glatter and O. Kratky ( Academic Press, New York 1982 )
A.J. Bray and K. Humayun, Phys. Rev. E 47, R9 (1993)
H. Tomita, Prog. Theor. Phys. 72, 656 (1984); Prog. Theor. Phys. 75, 482 (1986)
T. Ohta, D. Jasnow and K. Kawasaki, Phys. Rev. Lett. 49, 1223 (1982)
Y. Oono and S. Puri, Mod. Phys. Lett. B 2, 861 (1988)
A.J. Bray and S. Puri, Phys. Rev. Lett. 67, 2670 (1991)
H. Toyoki, Phys. Rev. B 45, 1965 (1992)
A.N. Pargellis, P. Finn, J.W. Goodby, P. Panizza, B. Yurke and P.E. Cladis, Phys. Rev. A 46, 7765 (1992)
T.J. Newman, A.J. Bray and M.A. Moore, Phys. Rev. B 42, 4514 (1990)
M. Zapotocky and W. Zakrzewski, Phys. Rev. E 51, R5189 (1995)
R.E. Blundell, A.J. Bray and S. Sattler, Phys. Rev. E 48, 2476 (1993)
Y. Oono and S. Puri, Phys. Rev. Lett. 58, 836 (1987); Phys. Rev. A 38, 434 (1988); S. Puri and Y. Oono, Phys. Rev. A 38, 1542 (1988)
G.F. Mazenko, Phys. Rev. Lett. 63, 1605 (1989); Phys. Rev. B 42, 4487 (1990); Phys. Rev. B 43, 5747 (1991)
G.F. Mazenko, Phys. Rev. E 58, 1543 (1998); Phys. Rev. E 61, 1088 (2000)
H. Nishimori and A. Onuki, Phys. Rev. B 42, 980 (1990); A. Onuki and H. Nishimori, Phys. Rev. B 43, 13649 (1991)
F. Langmayr, P. Fratzl, G. Vogl and W. Miekeley, Phys. Rev. B 49, 11759 (1994)
P. Fratzl, O. Penrose and J.L. Lebowitz, J. Stat. Phys. 95, 1429 (1999)
I.M. Lifshitz and V.V. Slyozov, J. Phys. Chem. Solids 19, 35 (1961)
D.A. Huse, Phys. Rev. B 34, 7845 (1986)
C. Yeung, Phys. Rev. Lett. 61, 1135 (1988)
H. Furukawa, Prog. Theor. Phys. 99, 358 (1989)
A. Shinozaki and Y. Oono, Phys. Rev. Lett. 66, 173 (1991); Phys. Rev. E 48, 2622 (1993)
T.M. Rogers, K.R. Elder and R.C. Desai, Phys. Rev. B 37, 9638 (1988)
J. Amar, F. Sullivan and R.D. Mountain, Phys. Rev. B 37, 196 (1988)
J.F. Marko and G.T. Barkema, Phys. Rev. E 52, 2522 (1995)
T. Ohta and H. Nozaki, in Space-Time Organization in Macromolecular Fluids, ed. by F. Tanaka, M. Doi and T. Ohta ( Springer-Verlag, Berlin 1989 ), p. 51
H. Tornita, Prog. Theor. Phys. 90, 521 (1993)
G.F. Mazenko, Phys. Rev. E 50, 3485 (1994); G.F. Mazenko and R. Wickham, Phys. Rev. E 51, 2886 (1995); G.F. Mazenko, Phys. Rev. E 62, 5967 (2000)
C. Yeung, Y. Oono and A. Shinozaki, Phys. Rev. E 49, 2693 (1994)
S. Puri, A.J. Bray and F. Rojas, Phys. Rev. E 52, 4699 (1995); F. Rojas, S. Puri and A.J. Bray, J. Phys. A 34, 3985 (2001)
A. Coniglio and M. Zannetti, Europhys. Lett. 10, 575 (1989)
A.J. Bray and K. Humayun, Phys. Rev. Lett. 68, 1559 (1992)
E.D. Siggia, Phys. Rev. A 20, 595 (1979)
H. Furukawa, Phys. Rev. A 31, 1103 (1985); Adv. Phys. 34, 703 (1985)
M. Grant and K.R. Elder, Phys. Rev. Lett. 82, 14 (1999)
V.M. Kendon, J-C. Desplat, P. Bladon and M.E. Cates, Phys. Rev. Lett. 83, 576 (1999)
F.J. Higuera, S. Succi and R. Benzi, Europhys. Lett. 9, 345 (1989)
M.R. Swift, E. Orlandini, W.R. Osborn and J. Yeomans, Phys. Rev. E 54, 5041 (1996)
T. Koga and K. Kawasaki, Phys. Rev. A 44, R817 (1991)
S. Puri and B. Dünweg, Phys. Rev. A 45, R6977 (1992)
M. Laradji, S. Toxvaerd and O.G. Mouritsen, Phys. Rev. Lett. 77, 2253 (1996)
S. Bastea and J.L. Lebowitz, Phys. Rev. Lett. 78, 3499 (1997)
D.A. Huse and C.L. Henley, Phys. Rev. Lett. 54, 2708 (1985)
D.S. Fisher and D.A. Huse, Phys. Rev. Lett. 56, 1601 (1986); Phys. Rev. B 38, 373 (1988); Phys. Rev. B 38, 386 (1988)
S. Puri, D. Chowdhury and N. Parekh, J. Phys. A 24, L1087 (1991)
S. Puri and N. Parekh, J. Phys. A 25, 4127 (1992)
M.F. Gyure, S.T. Harrington, R. Strilka and H.E. Stanley, Phys. Rev. E 52, 4632 (1995)
D. Chowdhury, J. Phys. Condens. Matter 6, 2435 (1994)
T. Kawakatsu, K. Kawasaki, M. Furusaka, O. Okabayashi and T. Kanaya, J. Phys. Condens. Matter 6, 6385 (1994)
P. Fratzl and O. Penrose, Phys. Rev. B 50, 3477 (1994); Phys. Rev. B 53, 2890 (1996)
S. Puri, K. Binder and S. Dattagupta, Phys. Rev. B 46, 98 (1992); S. Puri, N. Parekh and S. Dattagupta, J. Stat. Phys. 77, 839 (1994)
C. Yeung, T.M. Rogers, A. Hernandez-Machado and D. Jasnow, J. Stat. Phys. 66, 1071 (1992)
F.J. Alexander, C.A. Laberge, J.L. Lebowitz and R.K.P. Zia, J. Stat. Phys. 82, 1133 (1996)
A.D. Rutenberg and C. Yeung, Phys. Rev. E 60, 2710 (1999)
B. Schmittmann and R.K.P. Zia, in Phase Transitions and Critical Phenomena Vol. 17, ed. by C. Domb and J.L. Lebowitz ( Academic Press, London 1995 )
G. Krausch, Mat. Sc. and Engineering Rep. R14, 1 (1995)
S. Puri and H.L. Frisch, J. Phys. Condens. Matter 9, 2109 (1997)
J. Lal and R. Bansil, Macromolecules 24, 290 (1991); R. Bansil, J. Lal and B. Carvalho, Polymer 33, 2961 (1992)
H. Tanaka, Phys. Rev. Lett. 71, 3158 (1993); Phys. Rev. Lett. 76, 787 (1996)
K. Sekimoto, N. Suematsu and K. Kawasaki, Phys. Rev. A 39, 4912 (1989)
A. Onuki and S. Puri, Phys. Rev. E 59, R1331 (1999)
J. Sharma and S. Puri, Phys. Rev. E 64, 021513 (2001)
T. Hashimoto, T. Takebe and S. Suehiro, J. Chem. Phys. 88, 5874 (1988); T. Takebe, R. Sawaoka and T. Hashimoto, J. Chem. Phys. 91, 4369 (1989)
X.-L. Wu, D.J. Pine and P.K. Dixon, Phys. Rev. Lett. 66, 2408 (1991)
D. Beysens and F. Perrot, J. de Physique 45, L31 (1994)
A. Onuki, J. Phys. Condens. Matter 9, 6119 (1997)
G.S. Crest and P.S. Sahni, Phys. Rev. B 30, 226 (1984)
C. Jeppesen and O.G. Mouritsen, Phys. Rev. B 47, 14724 (1993)
S.K. Das and S. Puri, Phys. Rev. E 65, 026141 (2002)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Dattagupta, S., Puri, S. (2004). An Overview of Phase Ordering Dynamics. In: Dissipative Phenomena in Condensed Matter. Springer Series in Materials Science, vol 71. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-06758-1_3
Download citation
DOI: https://doi.org/10.1007/978-3-662-06758-1_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05799-1
Online ISBN: 978-3-662-06758-1
eBook Packages: Springer Book Archive