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CONTINUUM DESCRIPTIONS OF CRYSTAL SURFACE EVOLUTION
CONTINUUM DESCRIPTIONS CRYSTAL SURFACE EVOLUTION
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 ...
Homogenization of composite vicinal surfaces: Evolution laws in 1+1 dimensions
Crystal surface Burton–Cabrera–Frank (BCF) model Line defects Diffusion Macroscopic limit Multiscale expansion
2015/10/16
We apply classical homogenization to derive macroscopic relaxation laws for crystal surfaces with distinct inhomogeneities at the microscale. The proposed method relies on a formal multiscale expansio...
From atoms to steps:The microscopic origins of crystal evolution
Burton–Cabrera–Frank theory Solid-on-solid model Non-equilibrium statistical mechanics
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...
Evolution of additional (hidden) quantum variables in the interference of Bose-Einstein condensates
Additional variable hidden variables quantum mechanics the high concentration condensate
2014/12/20
Additional variables (also often called “hidden variables”) are sometimes added to standard quantum mechanics in order to remove its indeterminism or “incompleteness” and to make the measurement proce...
Embeddings and time evolution of the Schwarzschild wormhole
Einstein-Rosen bridge Schwarzschild wormhole embedding
2011/10/9
Abstract: We show how to embed spacelike slices of the Schwarzschild wormhole (or Einstein-Rosen bridge) in R^3. Graphical images of embeddings are given, including depictions of the dynamics of this ...
Kawasaki dynamics in the continuum via generating functionals evolution
Generating functional Kawasaki dynamics Interacting particle system Continuous system Ovsjannikov’s method Vlasov scaling
2011/9/19
Abstract: We construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale o...
Correlation functions evolution for the Glauber dynamics in continuum
Correlation functions evolution the Glauber dynamics continuum
2011/9/14
Abstract: We construct a correlation functions evolution corresponding to the Glauber dynamics in continuum. Existence of the corresponding strongly continuous contraction semigroup in a proper Banach...
Adiabatic Theorem for Discrete Time Evolution
adiabatic theorem quantum map quantum circuit Quantum Physics
2011/10/8
Abstract: A proof of the adiabatic theorem for quantum systems whose time evolution proceeds along discrete time, e.g., quantum maps and quantum circuits, is shown.
How genealogies are affected by the speed of evolution
speed of evolution Disordered Systems and Neural Networks genealogy
2011/9/30
Abstract: In a series of recent works it has been shown that a class of simple models of evolving populations under selection leads to genealogical trees whose statistics are given by the Bolthausen-S...
The Metallicity Evolution of Interacting Galaxies
Metallicity Evolution of Interacting Galaxies
2011/8/24
Nuclear inflows of metal-poor interstellar gas triggered by galaxy interactions can account for the systematically lower central oxygen abundances observed in local interacting galaxies.
The path integral representation kernel of evolution operator in Merton-Garman model
path integration evolution operator kernel option pricing Black-Scholes formula
2011/7/26
Abstract: In the framework of path integral the evolution operator kernel for the Merton-Garman Hamiltonian is constructed. Based on this kernel option formula is obtained, which generalizes the well-...
Fractal dimension evolution and spatial replacement dynamics of urban growth
bifurcation chaos fractal dimension Boltzmann’s equation logistical map spatial replacement nonlinear dynamics urban form urban growth
2011/8/29
This paper presents a new perspective of looking at the relation between fractals and chaos by means of cities. Especially, a principle of space filling and spatial replacement is proposed to explain ...
The Role of Symmetry and Separation in Surface Evolution and Curve Shortening
Symmetry Separation Surface Evolution Curve Shortening Analysis of PDEs
2011/7/25
Abstract: With few exceptions, known explicit solutions of the curve shortening flow (CSE) of a plane curve, can be constructed by classical Lie point symmetry reductions or by functional separation o...
Evolution of massive fields around a black hole in Horava gravity
Evolution of massive fields black hole Horava gravity
2010/12/20
We study the time evolution of massive scalar field in the spacetime geometry of Kehagias-
Sfetsos(KS) black hole in deformed Hoˇrava-Lifshitz(HL) gravity by numerical analysis. We find
that the sig...
A commonly adopted relational account of time evolution in generally-covariant systems, and more specifically in quantum cosmology, is argued to be unsatisfactory, insofar as it describes evolution re...