Matches in SemOpenAlex for { <https://semopenalex.org/work/W2061954580> ?p ?o ?g. }
- W2061954580 endingPage "700" @default.
- W2061954580 startingPage "667" @default.
- W2061954580 abstract "We study the effect of an external electric field $mathbf{E}$ on macroscopic relaxation laws for crystal surfaces in $2+1$ dimensions. We derive a nonlinear, fourth-order partial differential equation (PDE) for the surface height from the microscale motion of line defects (steps). This PDE contains a linear-in-$mathbf{E}$ convective contribution and reflects a variety of microscale kinetic processes. A basic ingredient is an extended Fick's law for the surface flux, which accounts for drift of adsorbed atoms (adatoms), isotropic as well as anisotropic diffusion of adatoms on terraces between steps, attachment-detachment of atoms at step edges, edge atom diffusion, and atom desorption into the surrounding vapor. In particular, we discuss conditions that enable the neglect of desorption. By resorting to stationary PDE solutions, we show how $mathbf{E}$ can possibly influence spatial changes of the slope profile near a macroscopically planar surface region (facet). We start with the Burton–Cabrera–Frank model for the motion of interacting steps, which is viewed as a discrete scheme for the macroscopic description, and apply coarse graining by separating local space variables into fast and slow." @default.
- W2061954580 created "2016-06-24" @default.
- W2061954580 creator A5036263237 @default.
- W2061954580 creator A5051899167 @default.
- W2061954580 date "2010-01-01" @default.
- W2061954580 modified "2023-09-26" @default.
- W2061954580 title "Electromigration in Macroscopic Relaxation of Stepped Surfaces" @default.
- W2061954580 cites W1481189082 @default.
- W2061954580 cites W1965571863 @default.
- W2061954580 cites W1965691857 @default.
- W2061954580 cites W1966539836 @default.
- W2061954580 cites W1969022849 @default.
- W2061954580 cites W1969741865 @default.
- W2061954580 cites W1971186068 @default.
- W2061954580 cites W1972213379 @default.
- W2061954580 cites W1979582735 @default.
- W2061954580 cites W1981508128 @default.
- W2061954580 cites W1990580531 @default.
- W2061954580 cites W1990910702 @default.
- W2061954580 cites W1996737120 @default.
- W2061954580 cites W1997326261 @default.
- W2061954580 cites W2000262278 @default.
- W2061954580 cites W2001933545 @default.
- W2061954580 cites W2011120134 @default.
- W2061954580 cites W2014523663 @default.
- W2061954580 cites W2016201860 @default.
- W2061954580 cites W2019411843 @default.
- W2061954580 cites W2020212762 @default.
- W2061954580 cites W2022050478 @default.
- W2061954580 cites W2025187807 @default.
- W2061954580 cites W2027404013 @default.
- W2061954580 cites W2027680769 @default.
- W2061954580 cites W2029928672 @default.
- W2061954580 cites W2033138394 @default.
- W2061954580 cites W2050937069 @default.
- W2061954580 cites W2053247976 @default.
- W2061954580 cites W2057391982 @default.
- W2061954580 cites W2061313309 @default.
- W2061954580 cites W2066131058 @default.
- W2061954580 cites W2068191335 @default.
- W2061954580 cites W2068764483 @default.
- W2061954580 cites W2069792251 @default.
- W2061954580 cites W2073617670 @default.
- W2061954580 cites W2076882400 @default.
- W2061954580 cites W2080240268 @default.
- W2061954580 cites W2082068401 @default.
- W2061954580 cites W2089076027 @default.
- W2061954580 cites W2089133017 @default.
- W2061954580 cites W2091561645 @default.
- W2061954580 cites W2096285801 @default.
- W2061954580 cites W2134554681 @default.
- W2061954580 cites W2155315887 @default.
- W2061954580 cites W3099813842 @default.
- W2061954580 cites W4240139632 @default.
- W2061954580 cites W89907685 @default.
- W2061954580 doi "https://doi.org/10.1137/090760635" @default.
- W2061954580 hasPublicationYear "2010" @default.
- W2061954580 type Work @default.
- W2061954580 sameAs 2061954580 @default.
- W2061954580 citedByCount "6" @default.
- W2061954580 countsByYear W20619545802013 @default.
- W2061954580 countsByYear W20619545802015 @default.
- W2061954580 countsByYear W20619545802021 @default.
- W2061954580 countsByYear W20619545802022 @default.
- W2061954580 countsByYear W20619545802023 @default.
- W2061954580 crossrefType "journal-article" @default.
- W2061954580 hasAuthorship W2061954580A5036263237 @default.
- W2061954580 hasAuthorship W2061954580A5051899167 @default.
- W2061954580 hasBestOaLocation W20619545802 @default.
- W2061954580 hasConcept C120665830 @default.
- W2061954580 hasConcept C121332964 @default.
- W2061954580 hasConcept C145420912 @default.
- W2061954580 hasConcept C150394285 @default.
- W2061954580 hasConcept C15696416 @default.
- W2061954580 hasConcept C15744967 @default.
- W2061954580 hasConcept C162711632 @default.
- W2061954580 hasConcept C178790620 @default.
- W2061954580 hasConcept C179428855 @default.
- W2061954580 hasConcept C184050105 @default.
- W2061954580 hasConcept C185592680 @default.
- W2061954580 hasConcept C192562407 @default.
- W2061954580 hasConcept C26873012 @default.
- W2061954580 hasConcept C2776029896 @default.
- W2061954580 hasConcept C33923547 @default.
- W2061954580 hasConcept C69357855 @default.
- W2061954580 hasConcept C77805123 @default.
- W2061954580 hasConcept C85725439 @default.
- W2061954580 hasConcept C97355855 @default.
- W2061954580 hasConceptScore W2061954580C120665830 @default.
- W2061954580 hasConceptScore W2061954580C121332964 @default.
- W2061954580 hasConceptScore W2061954580C145420912 @default.
- W2061954580 hasConceptScore W2061954580C150394285 @default.
- W2061954580 hasConceptScore W2061954580C15696416 @default.
- W2061954580 hasConceptScore W2061954580C15744967 @default.
- W2061954580 hasConceptScore W2061954580C162711632 @default.
- W2061954580 hasConceptScore W2061954580C178790620 @default.
- W2061954580 hasConceptScore W2061954580C179428855 @default.
- W2061954580 hasConceptScore W2061954580C184050105 @default.