# Kinetics of Phase Transitions

@article{Puri2009KineticsOP, title={Kinetics of Phase Transitions}, author={Sanjay Puri}, journal={Phase Transitions}, year={2009}, volume={77}, pages={407-431} }

We review developments in the field of phase ordering dynamics, viz., the evolution of a homogeneous multi-component mixture which has been rendered thermodynamically unstable by a rapid quench below the critical temperature. We discuss results for cases with both nonconserved and conserved order parameters. We also highlight recent research directions in this field, i.e., the incorporation of experimentally relevant effects in the studies of phase ordering systems.

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## References

SHOWING 1-10 OF 131 REFERENCES

Kinetics of an order-disorder transition

- Materials Science
- 1980

Novel computer simulations are described of the time evolution of an ordering model binary alloy following quenching from a disordered state at a high temperature. The results are interpreted with…

Phase ordering dynamics in binary mixtures with annealed vacancies

- Materials Science
- 1998

We formulate mean-field dynamical models for phase ordering dynamics in binary mixtures with both mobile and quenched vacancies or impurities. We use these models to obtain numerical results for two…

Dynamics of vacancy-mediated phase separation

- Materials Science
- 1997

We formulate a mean-field (MF) dynamical model for vacancy-mediated phase separation in ternary ABV mixtures, where A and B refer to the separating components; and V to vacancies. We use this model…

Kinetics of phase separation in ternary mixtures.

- Materials SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2001

Detailed results from Monte Carlo simulations of the kinetics of phase separation in ternary mixtures are presented and heuristic arguments for the existence of different morphologies in various parameter regimes are provided.

Kinetics of phase separation in polymer-solvent mixtures.

- Physics, Materials SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2001

In the absence of thermal noise, it is found that domain growth is slowed down drastically when the low-mobility phase percolates the system, however, thermal noise restores rapid domain growth through a Brownian coalescence mechanism.

Theory of phase-ordering kinetics

- Physics
- 1994

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…

Phase ordering dynamics in a gravitational field

- Physics
- 1994

We study the dynamics of phase ordering in the presence of an external “gravitational” field, namely a field that varies linearly with distance in one direction. Starting from microscopic…

Perturbation Expansion in Phase Ordering Kinetics

- Physics
- 1997

A consistent perturbation theory expansion is presented for phase ordering kinetics in the case of a nonconserved scalar order parameter. At lowest order in this formal expansion one obtains the…

Kinetic ising model study of phase separation in binary alloys

- Physics
- 1974

The decomposition of binary alloys after a sudden quench below the critical temperature of unmixing is studied on a microscopic basis, using a stochastic model analog to the Kawasaki spin exchange…

Dynamics of phase separation in multicomponent mixtures.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2002

The domain growth law is found to be consistent with the Lifshitz-Slyozov law, L(t) equivalent to t(1/3) (where t is time), regardless of the value of q, and the scaled correlation functions and domain-size distribution functions for a range of q values are presented.