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Continuum approach to self-similarity and scaling in morphological relaxation of a crystal with a facet
Continuum approach self-similarity and scaling morphological relaxation crystal with a facet
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2015/10/16
The morphological relaxation of axisymmetric crystal surfaces with a single facet below the roughening transition temperature is studied analytically for diffusion-limited sDLd and attachment-detachme...
CONTINUUM DESCRIPTIONS OF CRYSTAL SURFACE EVOLUTION
CONTINUUM DESCRIPTIONS CRYSTAL SURFACE EVOLUTION
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2015/10/16
It is well known that liquid surfaces evolve in shape due to the effect of surface tension, which drives configurations towards lower energy. The breakup of an initially cylindrical fluid thread into ...
CONTINUUM RELAXATION OF INTERACTING STEPS ON CRYSTAL SURFACES IN 2+1 DIMENSIONS
crystal surface epitaxial growth morphological evolution Burton–Cabrera–Frank model Ehrlich–Schwoebel barrier entropic interactions elastic dipole interactions step chemical potential continuum limit surface mobility
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2015/10/16
We study the relaxation of crystal surfaces in 2+1 dimensions via the motion ofinteracting atomic steps. The goal is the rigorous derivation of the continuum limit. The starting point is a discrete sc...
Unified continuum approach to crystal surface morphological relaxation
Unified continuum approach crystal surface morphological relaxation
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2015/10/16
A continuum theory is used to predict scaling laws for the morphological relaxation of crystal surfaces in two independent space dimensions. Our goal is to unify previously disconnected experimental o...
Anisotropic diffusion in continuum relaxation of stepped crystal surfaces
Anisotropic diffusion continuum relaxation stepped crystal surfaces
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2015/10/16
We study the continuum limit in 2+1 dimensions of nanoscale anisotropic diffusion processes on crystal surfaces relaxing to become flat below roughening. Our main result is a continuum law for the sur...
Macroscopic view of crystal-step transparency
Macroscopic view crystal-step transparency
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2015/10/16
We study macroscopic aspects of crystal surface relaxation in 2+1 dimensions by accounting for nearequilibrium kinetics of transparent steps at the nanoscale. For slowly varying step geometries, we sh...
From atoms to steps:The microscopic origins of crystal evolution
Burton–Cabrera–Frank theory Solid-on-solid model Non-equilibrium statistical mechanics
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2015/10/16
The Burton–Cabrera–Frank (BCF) theory of crystal growth has been successful in describing a wide range of phenomena in surface physics. Typical crystal surfaces are slightly misoriented with respect t...
Role of chemical potential in relaxation of faceted crystal structure
chemical potential relaxation faceted crystal structure
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2015/10/16
Below the roughening transition, crystal surfaces have macroscopic plateaus, facets, whose evolution is driven by the microscale dynamics of steps. A long-standing puzzle was how to reconcile discrete...
On the resonances and eigenvalues for a 1D half-crystal with localised impurity
resonances scattering periodic potential S-matrix
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2011/9/6
Abstract: We consider the Schr\"odinger operator $H$ on the half-line with a periodic potential $p$ plus a compactly supported potential $q$. For generic $p$, its essential spectrum has an infinite se...
Analysis of the new Crystal Ball data on $K^-p\to\pi^0\Lambda$ reaction with beam momenta of $514\sim 750$ MeV/$c$
new Crystal Ball data on $K^-p\to\pi^0\Lambda$ reaction beam momenta $514\sim 750$ MeV/$c$
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2011/1/6
The Crystal Ball Collaboration has recently reported the differential cross sections for the reaction K−p ! 0 using an incident K− beam with momenta between 514 and 750 MeV/c. We make a ...