FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2035252571> ?p ?o ?g. }

• W2035252571 abstract "We study spatially discretized versions of a class of one-dimensional, nonequilibrium, conserved growth equations for both nonconserved and conserved noise using numerical integration. An atomistic version of these growth equations is also studied using stochastic simulation. The models with nonconserved noise are found to exhibit mound formation and power-law coarsening with slope selection for a range of values of the model parameters. Unlike previously proposed models of mound formation, the Ehrlich-Schwoebel step-edge barrier, usually modeled as a linear instability in growth equations, is absent in our models. Mound formation in our models occurs due to a nonlinear instability in which the height (depth) of spontaneously generated pillars (grooves) increases rapidly if the initial height (depth) is sufficiently large. When this instability is controlled by the introduction of a nonlinear control function, the system exhibits a first-order dynamical phase transition from a rough self-affine phase to a mounded one as the value of the parameter that measures the effectiveness of control is decreased. We define an ``order parameter'' that may be used to distinguish between these two phases. In the mounded phase, the system exhibits power-law coarsening of the mounds in which a selected slope is retained at all times. The coarsening exponents for the spatially discretized continuum equation and the atomistic model are found to be different. An explanation of this difference is proposed and verified by simulations. In the spatially discretized growth equation with conserved noise, we find the curious result that the kinetically rough and mounded phases are both locally stable in a region of parameter space. In this region, the initial configuration of the system determines its steady-state behavior." @default.
• W2035252571 created "2016-06-24" @default.
• W2035252571 creator A5090659283 @default.
• W2035252571 creator A5090774953 @default.
• W2035252571 date "2004-01-13" @default.
• W2035252571 modified "2023-10-16" @default.
• W2035252571 title "Mound formation and coarsening from a nonlinear instability in surface growth" @default.
• W2035252571 cites W1968607469 @default.
• W2035252571 cites W1969487693 @default.
• W2035252571 cites W1969741865 @default.
• W2035252571 cites W1977323648 @default.
• W2035252571 cites W1978866594 @default.
• W2035252571 cites W1984090814 @default.
• W2035252571 cites W1991321681 @default.
• W2035252571 cites W1993406962 @default.
• W2035252571 cites W1997417348 @default.
• W2035252571 cites W2001274123 @default.
• W2035252571 cites W2007716454 @default.
• W2035252571 cites W2008704626 @default.
• W2035252571 cites W2008919294 @default.
• W2035252571 cites W2015858646 @default.
• W2035252571 cites W2019545370 @default.
• W2035252571 cites W2023476383 @default.
• W2035252571 cites W2034033132 @default.
• W2035252571 cites W2034466075 @default.
• W2035252571 cites W2036928795 @default.
• W2035252571 cites W2038851701 @default.
• W2035252571 cites W2039909975 @default.
• W2035252571 cites W2048976031 @default.
• W2035252571 cites W2051478763 @default.
• W2035252571 cites W2053723379 @default.
• W2035252571 cites W2054247010 @default.
• W2035252571 cites W2054618217 @default.
• W2035252571 cites W2057280863 @default.
• W2035252571 cites W2064572062 @default.
• W2035252571 cites W2066116321 @default.
• W2035252571 cites W2070530757 @default.
• W2035252571 cites W2075246245 @default.
• W2035252571 cites W2080323565 @default.
• W2035252571 cites W2081212106 @default.
• W2035252571 cites W2082855178 @default.
• W2035252571 cites W2088937505 @default.
• W2035252571 cites W2089076027 @default.
• W2035252571 cites W2091411348 @default.
• W2035252571 cites W2092992523 @default.
• W2035252571 cites W2094120962 @default.
• W2035252571 cites W2098095014 @default.
• W2035252571 cites W2111835872 @default.
• W2035252571 cites W2162495073 @default.
• W2035252571 cites W2963580741 @default.
• W2035252571 cites W3102172086 @default.
• W2035252571 cites W3104790781 @default.
• W2035252571 cites W4240139632 @default.
• W2035252571 cites W1968516534 @default.
• W2035252571 doi "https://doi.org/10.1103/physreve.69.011601" @default.
• W2035252571 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/14995627" @default.
• W2035252571 hasPublicationYear "2004" @default.
• W2035252571 type Work @default.
• W2035252571 sameAs 2035252571 @default.
• W2035252571 citedByCount "6" @default.
• W2035252571 countsByYear W20352525712012 @default.
• W2035252571 countsByYear W20352525712016 @default.
• W2035252571 countsByYear W20352525712018 @default.
• W2035252571 countsByYear W20352525712019 @default.
• W2035252571 crossrefType "journal-article" @default.
• W2035252571 hasAuthorship W2035252571A5090659283 @default.
• W2035252571 hasAuthorship W2035252571A5090774953 @default.
• W2035252571 hasBestOaLocation W20352525712 @default.
• W2035252571 hasConcept C105795698 @default.
• W2035252571 hasConcept C121332964 @default.
• W2035252571 hasConcept C121864883 @default.
• W2035252571 hasConcept C134306372 @default.
• W2035252571 hasConcept C158622935 @default.
• W2035252571 hasConcept C207821765 @default.
• W2035252571 hasConcept C33923547 @default.
• W2035252571 hasConcept C57879066 @default.
• W2035252571 hasConcept C62520636 @default.
• W2035252571 hasConcept C73000952 @default.
• W2035252571 hasConcept C74859849 @default.
• W2035252571 hasConcept C87040749 @default.
• W2035252571 hasConcept C97355855 @default.
• W2035252571 hasConceptScore W2035252571C105795698 @default.
• W2035252571 hasConceptScore W2035252571C121332964 @default.
• W2035252571 hasConceptScore W2035252571C121864883 @default.
• W2035252571 hasConceptScore W2035252571C134306372 @default.
• W2035252571 hasConceptScore W2035252571C158622935 @default.
• W2035252571 hasConceptScore W2035252571C207821765 @default.
• W2035252571 hasConceptScore W2035252571C33923547 @default.
• W2035252571 hasConceptScore W2035252571C57879066 @default.
• W2035252571 hasConceptScore W2035252571C62520636 @default.
• W2035252571 hasConceptScore W2035252571C73000952 @default.
• W2035252571 hasConceptScore W2035252571C74859849 @default.
• W2035252571 hasConceptScore W2035252571C87040749 @default.
• W2035252571 hasConceptScore W2035252571C97355855 @default.
• W2035252571 hasIssue "1" @default.
• W2035252571 hasLocation W20352525711 @default.
• W2035252571 hasLocation W20352525712 @default.
• W2035252571 hasLocation W20352525713 @default.
• W2035252571 hasLocation W20352525714 @default.
• W2035252571 hasOpenAccess W2035252571 @default.

• next