Response function of coarsening systems

Response function of coarsening systems

The response function of domain growth processes, and in particular the violation of the fluctuation-dissipation theorem, are studied both analytically and numerically. In the asymptotic limit of large times, the fluctuation-dissipation ratio X, which quantifies this violation, tends to one if C > m and to zero if C < m, corresponding to the fast (“bulk”) and slow (“domain-wall”) responses, res...

Heterogeneous dynamics of coarsening systems.

We show by means of experiments, theory, and simulations that the slow dynamics of coarsening systems displays dynamic heterogeneity similar to that observed in glass-forming systems. We measure dynamic heterogeneity via novel multipoint functions which quantify the emergence of dynamic, as opposed to static, correlations of fluctuations. Experiments are performed on a coarsening foam using tim...

Coarsening in Multicomponent Multiphase Systems

Domain statistics in coarsening systems

We study the domain number and size distributions in the one-dimensional Ising and q-state Potts models subject to zero-temperature Glauber dynamics. The survival probability of a domain S(t);t and an unreacted domain Q1(t);t 2d are characterized by two independent nontrivial exponents. For the Ising case, we find c50.126 and d51.27 using numerical simulations. We develop an independent interva...

Precipitate coarsening in multicomponent systems

Expressions to obtain composition shifts due to capillarity are presented when the chemical potential shifts of the precipitate phase are taken into account. These are applied to calculate the precipitate coarsening kinetics in multicomponent systems, showing dependence on the solution thermodynamics followed by the continuous phase. 2002 Published by Elsevier Science Ltd. on behalf of Acta Mat...