Surface dynamics below the roughening transition

نویسنده

  • Herbert Spohn
چکیده

~Ve consider conventional relaxation dynamics for surfaces, both evaporation dynamics and surface diffusion. We point out that the cusp singularity of the surface free energy implies that the relaxation dynamics has to be treated as a free boundary value problem. On this basis we predict, under appropriate conditions, the spontaneous formation of facets and a finite time of healing for the high

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Grooving of a grain boundary by evaporation–condensation below the roughening transition

The development of surface grooves at grain boundaries that intersect a planar surface is analyzed for the case that the evolution occurs below the thermodynamic roughening transition by evaporation–condensation processes. The dynamics are described by a nonlinear partial differential equation that has a similarity solution, so the resulting groove profile is described by a nonlinear ordinary d...

متن کامل

Self-similar Morphology and Dynamics of Periodic Surface Prooles below the Roughening Transition

We study the relaxation of surface prooles by solving numerically the continuum equations as a free boundary problem. For surface diiusion we obtain a nearly linear decay of the proole height in the scaling regime. For evaporation dynamics there are two distinct self-similar solutions depending on the functional form of the surface mobility.

متن کامل

Analog of surface preroughening in a two-dimensional lattice Coulomb gas.

Elaborating on previous theoretical treatments of the roughening transition, I provide the exact mapping of a surface model which undergoes both roughening and preroughening onto a mixture of unit and double charges living on the square lattice. Depending on the model parameters, the preroughening transition of the surface can be either continuous or discontinuous. Using the surface temperature...

متن کامل

Relaxation of a moving contact line and the Landau-Levich effect

– The dynamics of the deformations of a moving contact line is formulated. It is shown that an advancing contact line relaxes more quickly as compared to the equilibrium case, while for a receding contact line there is a corresponding slowing down. For a receding contact line on a heterogeneous solid surface, it is found that a roughening transition takes place which formally corresponds to the...

متن کامل

Roughening transition of prism faces of ice crystals grown from melt under pressure

By observing the crystal shapes and kinetics of ice Ih growing at high pressures from the melt, it was found that the prism f1 0 1̄ 0g faces undergo a roughening transition at approximately 16 C and 160MPa (1600 bar) in H2O ice, and 14 C and 180MPa (1800 bar) in D2O ice. At temperatures above the roughening transition, the prism facets completely vanished and the curves of growth rate versus gro...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2016