A scaling theory of 3D spinodal turbulence

Details A scaling theory of 3D spinodal turbulence A scaling theory of 3D spinodal turbulence

1999-10-19

arxiv.org/abs/cond-mat/9910287v2

Phys Rev E 61(6) R6071 (2000)

Physics

Condensed Matter

5 pages, no figures, revised version submitted to Phys Rev E Rapp Comm. Minor changes and clarifications

Scientific paper

10.1103/PhysRevE.61.R6071

A new scaling theory for spinodal decomposition in the inertial hydrodynamic regime is presented. The scaling involves three relevant length scales, the domain size, the Taylor microscale and the Kolmogorov dissipation scale. This allows for the presence of an inertial "energy cascade", familiar from theories of turbulence, and improves on earlier scaling treatments based on a single length: these, it is shown, cannot be reconciled with energy conservation. The new theory reconciles the t^{2/3} scaling of the domain size, predicted by simple scaling, with the physical expectation of a saturating Reynolds number at late times.

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