# Overall time evolution in phase-ordering kinetics

Source: [Overall time evolution in phase-ordering kinetics](<https://www.sota2.com/research/paper/68fa24902c2a3760193a5e02>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:18:10.151Z

Authors: Claudio Castellano, Marco Zannetti

Published: 1998-07-16T16:31:07.000Z

## Abstract

The phenomenology from the time of the quench to the asymptotic behavior in the phase-ordering kinetics of a system with conserved order parameter is investigated in the Bray-Humayun model and in the Cahn-Hilliard-Cook model.   From the comparison of the structure factor in the two models the generic pattern of the overall time evolution, based on the sequence \`\`early linear - intermediate mean field - late asymptotic regime'' is extracted. It is found that the time duration of each of these regimes is strongly dependent on the wave vector and on the parameters of the quench, such as the amplitude of the initial fluctuations and the final equilibrium temperature. The rich and complex crossover phenomenology arising as these parameters are varied can be accounted for in a simple way through the structure of the solution of the Bray-Humayun model.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/9807242>)

[PDF](<https://arxiv.org/pdf/cond-mat/9807242.pdf>)