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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 $…
Phase Ordering Kinetics with External Fields and Biased Initial Conditions
J. A. N. Filipe, A. J. Bray, S. Puri
The late-time phase-ordering kinetics of the O(n) model for a non-conserved order parameter are considered for the case where the O(n) symmetry is broken by the initial conditions…
Lifshitz-Slyozov Scaling For Late-Stage Coarsening With An Order-Parameter-Dependent Mobility
A. J. Bray, C. L. Emmott
The coarsening dynamics of the Cahn-Hilliard equation with order-parameter dependent mobility, , is addressed at zero temperature in the Lifshitz-Slyozov li…