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Island distance in one-dimensional epitaxial growth
Authors:H Kallabis  PL Krapivsky  DE Wolf
Institution:FB 10, Theoretische Physik, Gerhard-Mercator-Universit?t Duisburg, 47048 Duisburg, Germany, DE
Center for Polymer Studies, Boston University, Boston, 02215 MA, USA, US
Abstract:The typical island distance in submonolayer epitaxial growth depends on the growth conditions via an exponent . This exponent is known to depend on the substrate dimensionality, the dimension of the islands, and the size i* of the critical nucleus for island formation. In this paper we study the dependence of on i* in one-dimensional epitaxial growth. We derive that for and confirm this result by computer simulations. Received: 26 May 1998 / Accepted: 23 June 1998
Keywords:PACS  81  15  z Methods of deposition of films and coatings  film growth and epitaxy - 81  10  Bk Growth from vapor - 05  50  +q          Lattice theory and statistics  Ising problems
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