Unstable step meandering with elastic interactions
We report on theoretical investigations of the influence of step interactions due to elasticity on unstable step meandering during molecular beam homoepitaxy. It is shown that elasticity causes coarsening of the cellular structure of the meander found in a previous work. The time dependence of step...
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Veröffentlicht in: | Physical review letters 2001-06, Vol.86 (24), p.5538-5541 |
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creator | Paulin, S Gillet, F Pierre-Louis, O Misbah, C |
description | We report on theoretical investigations of the influence of step interactions due to elasticity on unstable step meandering during molecular beam homoepitaxy. It is shown that elasticity causes coarsening of the cellular structure of the meander found in a previous work. The time dependence of step roughness is found to be robust, behaving as t(1/2). The lateral length scale coarsening is shown to be sensitive to the underlying physical mechanisms. In particular, the typical length follows the law t(alpha), with alpha = 1/6 or 1/4 depending on whether line diffusion is negligibly small or not. |
doi_str_mv | 10.1103/PhysRevLett.86.5538 |
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It is shown that elasticity causes coarsening of the cellular structure of the meander found in a previous work. The time dependence of step roughness is found to be robust, behaving as t(1/2). The lateral length scale coarsening is shown to be sensitive to the underlying physical mechanisms. 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It is shown that elasticity causes coarsening of the cellular structure of the meander found in a previous work. The time dependence of step roughness is found to be robust, behaving as t(1/2). The lateral length scale coarsening is shown to be sensitive to the underlying physical mechanisms. In particular, the typical length follows the law t(alpha), with alpha = 1/6 or 1/4 depending on whether line diffusion is negligibly small or not.</description><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>DIFFUSION</subject><subject>ELASTICITY</subject><subject>MOLECULAR BEAMS</subject><subject>ROUGHNESS</subject><subject>TIME DEPENDENCE</subject><issn>0031-9007</issn><issn>1079-7114</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><recordid>eNpNkF1LwzAUhoMobk5_gSAFwbvOk682uZThFwwUcdchTU9cpGtnkyn793ZsoFfn4n3fh8NDyCWFKaXAb1-X2_iG33NMaaqKqZRcHZExhVLnJaXimIwBOM01QDkiZzF-AgBlhToloyGmkmk5JmzRxmSrBrOYcJ2t0LY19qH9yH5CWmbY2JiCy0KbsLcuha6N5-TE2ybixeFOyOLh_n32lM9fHp9nd_PccaZT7mvPrAdUjLESitrWmmmUTiMK76gfcl3KwlVWUaylAw_cCSGYqhyqouQTcr3ndsMLJrqQ0C1d17bokhHAQBScDq2bfWvdd18bjMmsQnTYNLbFbhNNCZpLJnY4vi-6vouxR2_WfVjZfmsomJ1Q80-oUYXZCR1WVwf8plph_bc5GOS_z4p0uQ</recordid><startdate>20010611</startdate><enddate>20010611</enddate><creator>Paulin, S</creator><creator>Gillet, F</creator><creator>Pierre-Louis, O</creator><creator>Misbah, C</creator><general>The American Physical Society</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>OTOTI</scope></search><sort><creationdate>20010611</creationdate><title>Unstable step meandering with elastic interactions</title><author>Paulin, S ; Gillet, F ; Pierre-Louis, O ; Misbah, C</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c329t-fdf2af0e8222706dad929e5c9ee4fc1ffdf9756cba81ed5c0f03c44428bce8673</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>DIFFUSION</topic><topic>ELASTICITY</topic><topic>MOLECULAR BEAMS</topic><topic>ROUGHNESS</topic><topic>TIME DEPENDENCE</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Paulin, S</creatorcontrib><creatorcontrib>Gillet, F</creatorcontrib><creatorcontrib>Pierre-Louis, O</creatorcontrib><creatorcontrib>Misbah, C</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>OSTI.GOV</collection><jtitle>Physical review letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Paulin, S</au><au>Gillet, F</au><au>Pierre-Louis, O</au><au>Misbah, C</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Unstable step meandering with elastic interactions</atitle><jtitle>Physical review letters</jtitle><addtitle>Phys Rev Lett</addtitle><date>2001-06-11</date><risdate>2001</risdate><volume>86</volume><issue>24</issue><spage>5538</spage><epage>5541</epage><pages>5538-5541</pages><issn>0031-9007</issn><eissn>1079-7114</eissn><abstract>We report on theoretical investigations of the influence of step interactions due to elasticity on unstable step meandering during molecular beam homoepitaxy. It is shown that elasticity causes coarsening of the cellular structure of the meander found in a previous work. The time dependence of step roughness is found to be robust, behaving as t(1/2). The lateral length scale coarsening is shown to be sensitive to the underlying physical mechanisms. In particular, the typical length follows the law t(alpha), with alpha = 1/6 or 1/4 depending on whether line diffusion is negligibly small or not.</abstract><cop>United States</cop><pub>The American Physical Society</pub><pmid>11415295</pmid><doi>10.1103/PhysRevLett.86.5538</doi><tpages>4</tpages></addata></record> |
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subjects | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS DIFFUSION ELASTICITY MOLECULAR BEAMS ROUGHNESS TIME DEPENDENCE |
title | Unstable step meandering with elastic interactions |
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