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From crystal steps to continuum laws:Behavior near large facets in one dimension
Crystal surface Epitaxial relaxation Self-similar solution Burton–Cabrera–Frank (BCF) model Facet Macroscopic limit
2015/10/16
The passage from discrete schemes for surface line defects (steps) to nonlinear macroscopic laws for crystals is studied via formal asymptotics in one space dimension. Our goal is to illustrate by exp...
Total Variation Flow and Sign Fast Diffusion in one dimension
Fast Diffusion Total Variation Flow asymptotic extinction profile convergence rates extinction time
2011/9/1
Abstract: We consider the dynamics of the Total Variation Flow (TVF) $u_t=\div(Du/|Du|)$ and of the Sign Fast Diffusion Equation (SFDE) $u_t=\Delta\sign(u)$ in one spatial dimension. We find the expli...
Resonances for "large" ergodic systems in one dimension: a review
Resonances random operators periodic operators
2011/8/24
安徽理工大学共建数据
Abstract: The present note reviews recent results on resonances for one-dimensional quantum ergodic systems constrained to a large box. We restrict ourselves to one dimensional models in the discrete ...
Three-body exclusion principle, duality mapping, and exact ground state of a harmonically trapped, ultracold Bose gas with three-body hard-core interactions in one dimension
duality mapping exact ground state of a harmonically trapped ultracold Bose gas with three-body hard-core interactions
2010/11/19
Motivated by previous suggestions that three-body hard-core interactions in lower-dimensional
ultracold Bose gases might provide a way for creation of non-Abelian anyons, the exact ground
state of a...
Cosmology in One Dimension:Fractal Geometry, Power Spectra and Correlation
One Dimension Fractal Geometry Power Spectra
2010/4/6
Concentrations of matter, such as galaxies and galactic clusters, originated as very small density fluctuations in the early universe. The existence of galaxy clusters and super-clusters suggests that...
N=4 Superconformal Quantum Mechanics in One Dimension
and Its Algebraic Structure
supersymmetry conformal
symmetry superconformal algebra
2007/8/15
2002Vol.38No.1pp.11-14DOI:
N=4 Superconformal Quantum Mechanics in One Dimension
and Its Algebraic Structure
RUAN Dong,1,2,3 GUO Hao,1 and SUN Hong-Zhou1,3,4
1 Departmen...
Steady-state Mantle–Melt Interactions in One Dimension: I. Equilibrium Transport and Melt Focusing
dunite magma migration porous fl ow mid-ocean ridge
2014/4/8
Mantle–melt interaction during melt transport is explored in one generally moves relative to the residual solid phases. This
dimension and steady state. We reconsider the equivalence between follows ...