# Theory of phase-ordering kinetics

@article{Bray1993TheoryOP, title={Theory of phase-ordering kinetics}, author={Alan J. Bray}, journal={Advances in Physics}, year={1993}, volume={51}, pages={481 - 587} }

The theory of phase-ordering dynamics that is the growth of order through domain coarsening when a system is quenched from the homogeneous phase into a broken-symmetry phase, is reviewed, with the emphasis on recent developments. Interest will focus on the scaling regime that develops at long times after the quench. How can one determine the growth laws that describe the time dependence of characteristic length scales, and what can be said about the form of the associated scaling functions…

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## References

SHOWING 1-10 OF 208 REFERENCES

### Universality of ordering dynamics in conserved multicomponent systems.

- PhysicsPhysical review. B, Condensed matter
- 1993

A comparative study is performed of the ordering dynamics and spinodal decomposition processes in two-dimensional two-state and three-state ferromagnetic Potts models with conserved order parameter and the growth law that describes the time-evolution of the linear length scale of the ordered domains is found to be algebraic.

### Coarsening Dynamics in Nematic Liquid Crystals

- Physics
- 1992

Abstract There is considerable interest in the dynamics of topological defects formed during a symmetry breaking phase transition in fields as diverse as condensed matter physics, particle physics…

### Kinetics of domain growth in a random-field model in three dimensions.

- PhysicsPhysical review letters
- 1993

The first detailed numerical study of domain growth in the ordered phase of a 3D quenched random-field (RF) model is presented, interpreted as arising from a renormalization of the kinetic coefficient at short length scales and can be associated with a dangerously irrelevant operator at the zero-temperature fixed point.

### Dynamic correlations in phase ordering : the 1/n-expansion reconsidered

- Physics
- 1993

The ordering dynamics of a system with a non-conserved order parameter is considered following a quench into the ordered phase from high temperature. Newman and Bray (1990) have set up an expansion…

### Late-time coarsening dynamics in a nematic liquid crystal.

- PhysicsPhysical review letters
- 1991

We have studied the coarsening dynamics of line defects in the uniaxial nematic liquid crystal 4-cyano-4'-n-pentylbiphenyl, subjected to a rapid pressure jump from the isotropic to the nematic phase.…

### Phase-ordering dynamics of nematic liquid crystals.

- Physics
- 1992

We study phase ordering in nematic liquid crystals using cell-dynamics simulations for d=2, n=2 and d=3, n=3. The tail in the structure function decays as k -x , withχ=4.0±0.1 for d=2 and χ=5.3±0.1…

### Domain growth kinetics in strongly disordered Ising magnets

- Physics
- 1990

We investigate the law of domain growth in strongly disordered Ising magnets in two dimensions by Monte Carlo simulation. The average linear domain size is found to grow with time t as R(t) ~ (In…

### Phase ordering from off-critical quenches and the measurement of the dynamic exponent lambda

- Mathematics, Physics
- 1992

The ordering dynamics of a system with a nonconserved order parameter is considered following a quench into the ordered phase from high temperature. The correlation of the order-parameter field with…

### Scaling behavior of two-time correlations in a twisted nematic liquid crystal.

- PhysicsPhysical review letters
- 1993

We have measured the coarsening exponent O and the nontrivial scaling exponent λ, which characterize how the two-time correlation function C(t,t') scales with the correlation length L(t), C(t,t')…