Ordering Phenomena on Growing Films
Mehran Kardar

TL;DR
This paper investigates how the growth process of films influences the anisotropic ordering and correlations within the bulk material, revealing complex interactions between surface dynamics and bulk properties.
Contribution
It introduces models that connect surface growth dynamics with bulk ordering, highlighting how growth history affects anisotropic correlations and critical behavior.
Findings
Bulk correlations are highly anisotropic due to growth history.
Surface roughness influences the coupling between height and order parameter fluctuations.
Deterministic growth can produce textured order parameter patterns.
Abstract
In many growth processes particles are highly mobile in an active layer at the surface, but are relatively immobile once incorporated in the bulk. We study models in which atoms are allowed to interact, equilibrate, and order on the surface, but are frozen in the bulk. Order parameter correlations in the resulting bulk material are highly anisotropic, reflecting its growth history. In a flat (layer by layer) growth mode, correlations perpendicular to the growth direction are similar to a two dimensional system in equilibrium, while parallel correlations reflect the dynamics of such a system. When the growing film is rough, various couplings between height and order parameter fluctuations are possible. Such couplings modify the dynamic scaling properties of surface roughness, and may also change the critical behavior of the order parameter. Even the deterministic growth of the surface…
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