Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-12-13
Phys.Rev. D48 (1993) 800-815
Physics
High Energy Physics
High Energy Physics - Theory
37 pages 7 figures (not included), REVTEX, PITT-92-07
Scientific paper
10.1103/PhysRevD.48.800
We study the dynamics of phase transitions out of equilibrium in weakly coupled scalar field theories. We consider the case in which there is a rapid supercooling from an initial symmetric phase in thermal equilibrium at temperature $T_i>T_c$ to a final state at low temperature $T_f \approx 0$. In particular we study the formation and growth of correlated domains out of equilibrium. It is shown that the dynamics of the process of domain formation and growth (spinodal decomposition) cannot be studied in perturbation theory, and a non-perturbative self-consistent Hartree approximation is used to study the long time evolution. We find in weakly coupled theories that the size of domains grow at long times as $\xi_D(t) \approx \sqrt{t\xi(0)}$. For very weakly coupled theories, their final size is several times the zero temperature correlation length. For strongly coupled theories the final size of the domains is comparable to the zero temperature correlation length and the transition proceeds faster.
Boyanovsky Daniel
Lee Da-Shin
Singh Amit
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