Quantum spinodal decomposition

Daniel Boyanovsky

doi:10.1103/PhysRevE.48.767

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Quantum spinodal decomposition

Daniel Boyanovsky

Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260

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Phys. Rev. E 48, 767 – Published 1 August, 1993

DOI: https://doi.org/10.1103/PhysRevE.48.767

Abstract

We study the process of spinodal decomposition in a scalar quantum field theory that is quenched from an equilibrium disordered initial state at $T_{i}$ > $T_{f}$ to a final state at $T_{f}$ ≊0. The process of the formation and growth of correlated domains is studied in a Hartree approximation. We find an approximate scaling law for the size of the domains $ξ_{D}$ (t)≊ √t $ξ_{0}$ at long times for weakly coupled theories, where $ξ_{0}$ is the zero-temperature correlation length.

References (13)

J. S. Langer, in Fluctuations, Instabilities and Phase Transitions, edited by T. Riste (Plenum, New York, 1975), p. 19; see also J. S. Langer, in Solids Far From Equilibrium, edited by C. Godreche (Cambridge University Press, Cambridge, 1992), p. 297; and Systems Far From Equilibrium, edited by L Garrido et al.., Lecture Notes in Physics Vol. 132 (Springer-Verlag, Berlin, 1975).
J. D. Gunton, M. San Miguel, and P. S. Sahni, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. J. Lebowitz (Academic, New York, 1983), Vol. 8.
N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, MA, 1992).
R. H. Bradenberger, Rev. Mod. Phys. 57, 1 (1985); Int. J. Mod. Phys. 2A, 77 (1987).
E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, Reading, MA, 1990).
A. Linde, Particle Physics and Inflationary Cosmology (Harwood Academic, Chur, Switzerland, 1990), and references therein.
G. F. Mazenko, W. G. Unruh and R. M. Wald, Phys. Rev. D 31, 273 (1985); G. F. Mazenko, Phys. Rev. Lett. 54, 2163 (1985).
E. Calzetta, Ann. Phys. (N.Y.) 190, 32 (1989); E. Calzetta and B. L. Hu, Phys. Rev. D 35, 495 (1987); ibid. 37, 2878 (1988).
J. Langer, Acta Metall. 21, 1649 (1973).
S. J. Chang, Phys. Rev. D 12, 1071 (1975).
S. M. Allen and J. W. Cahn, Acta Metall. 27, 1017 (1976); ibid. 27, 1085 (1976); I. M. Lifshitz, Zh. Eksp. Teor. Fiz. 42, 1354 (1962) [Sov. Phys. JETP 15, 939 (1962)].
D. Boyanovsky, D-S. Lee, and A. Singh (unpublished).
T. Ohta, D. Jasnow and K. Kawasaki, Phys. Rev. Lett. 49, 1223 (1982).

[c1] J. S. Langer, in Fluctuations, Instabilities and Phase Transitions, edited by T. Riste (Plenum, New York, 1975), p. 19; see also J. S. Langer, in Solids Far From Equilibrium, edited by C. Godreche (Cambridge University Press, Cambridge, 1992), p. 297; and Systems Far From Equilibrium, edited by L Garrido et al.., Lecture Notes in Physics Vol. 132 (Springer-Verlag, Berlin, 1975).

[c2] J. D. Gunton, M. San Miguel, and P. S. Sahni, in Phase Transitions and Critical Phenomena, edited by C. Domb and J. J. Lebowitz (Academic, New York, 1983), Vol. 8.

[c3] N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, Reading, MA, 1992).

[c4] R. H. Bradenberger, Rev. Mod. Phys. 57, 1 (1985); Int. J. Mod. Phys. 2A, 77 (1987).

[c5] E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, Reading, MA, 1990).

[c6] A. Linde, Particle Physics and Inflationary Cosmology (Harwood Academic, Chur, Switzerland, 1990), and references therein.

[c7] G. F. Mazenko, W. G. Unruh and R. M. Wald, Phys. Rev. D 31, 273 (1985); G. F. Mazenko, Phys. Rev. Lett. 54, 2163 (1985).

[c8] E. Calzetta, Ann. Phys. (N.Y.) 190, 32 (1989); E. Calzetta and B. L. Hu, Phys. Rev. D 35, 495 (1987); ibid. 37, 2878 (1988).

[c9] J. Langer, Acta Metall. 21, 1649 (1973).

[c10] S. J. Chang, Phys. Rev. D 12, 1071 (1975).

[c11] S. M. Allen and J. W. Cahn, Acta Metall. 27, 1017 (1976); ibid. 27, 1085 (1976); I. M. Lifshitz, Zh. Eksp. Teor. Fiz. 42, 1354 (1962) [Sov. Phys. JETP 15, 939 (1962)].

[c12] D. Boyanovsky, D-S. Lee, and A. Singh (unpublished).

[c13] T. Ohta, D. Jasnow and K. Kawasaki, Phys. Rev. Lett. 49, 1223 (1982).

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