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Phase ordering dynamics of cosmological models
Joao A. N. Filipe, Alan J. Bray
The ordering dynamics of the Higgs field is studied, using techniques inspired by the study of phase ordering in condensed matter physics, as a first step to understanding the evol…
Coarsening Dynamics of a One-Dimensional Driven Cahn-Hilliard System
C. L. Emmott, A. J. Bray
We study the one-dimensional Cahn-Hilliard equation with an additional driving term representing, say, the effect of gravity. We find that the driving field has an asymmetric e…
Strong-coupling behaviour in discrete Kardar-Parisi-Zhang equations
T. J. Newman, A. J. Bray
We present a systematic discretization scheme for the Kardar-Parisi-Zhang (KPZ) equation, which correctly captures the strong-coupling properties of the continuum model. In particu…
Domain Growth in a 1-D Driven Diffusive System
Stephen J. Cornell, Alan J. Bray
The low-temperature coarsening dynamics of a one-dimensional Ising model, with conserved magnetisation and subject to a small external driving force, is studied analytically in the…
Structure-Factor Tail for the Ordering Kinetics of Nonconserved Fields without Topological Defects
F. Rojas, A. J. Bray
Using a cell dynamic system (CDS) simulation scheme, we investigate the phase-ordering dynamics of non-conserved O(n) models without topological defects, i.e. for where $…