Phys. Rev. Lett. Phys. Rev. A Phys. Rev. B Phys. Rev. C Phys. Rev. D Phys. Rev. E Phys. Rev. ST AB Phys. Rev. ST PER Rev. Mod. Phys. Phys. Rev. (Series I) Phys. Rev. Volume: Page/Article:

Phys. Rev. E 59, R1303–R1306 (1999)

[Issue 2 – February 1999 ]

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Dynamics of defect formation

Esteban Moro^1,2* and Grant Lythe^1§

¹Center for Nonlinear Studies, Los Alamos National Laboratory, MS B285, New Mexico 87544

²Departamento de Matemáticas and Grupo Interdisciplinar de Sistemas Complicados, Universidad Carlos III de Madrid, E-28911 Leganés, Madrid, Spain

A dynamic symmetry-breaking transition with noise and inertia is analyzed. Exact solution of the linearized equation that describes the critical region allows precise calculation (exponent and prefactor) of the number of defects produced as a function of the rate of increase of the critical parameter. The procedure is valid in both the overdamped and underdamped limits. In one space dimension, we perform quantitative comparison with numerical simulations of the nonlinear nonautonomous stochastic partial differential equation and report on signatures of underdamped dynamics.

©1999 The American Physical Society

URL: http://link.aps.org/abstract/PRE/v59/pR1303
DOI: 10.1103/PhysRevE.59.R1303
PACS: 02.50.Ey, 05.70.Fh, 64.60.-i

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