Domain Growth in a 1-D Driven Diffusive System

Abstract

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 limit where the volume fraction μof the minority phase is small, and numerically for general μ. The mean domain size L(t) grows as t^{1/2} in all cases, and the domain-size distribution for domains of one sign is very well described by the form P_l(l) \propto (l/L^3)\exp[-λ(μ)(l^2/L^2)], which is exact for small μ(and possibly for all μ). The persistence exponent for the minority phase has the value 3/2 for μ\to 0.

8 pages, REVTeX, 7 Postscript figures, uses multicol.sty and epsf.sty. Submitted to Phys. Rev. E

References in corpus (3)

• Theory of Phase Ordering Kinetics
• Exact first-passage exponents of 1D domain growth: relation to a reaction diffusion model
• Coarsening and persistence in the voter model

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