Spinodal Decomposition¶for the Cahn–Hilliard–Cook Equation

被引:0
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作者
Dirk Blömker
Stanislaus Maier-Paape
Thomas Wanner
机构
[1] Institut für Mathematik,
[2] Universität Augsburg,undefined
[3] 86135 Augsburg,undefined
[4] Germany.¶E-mail: bloemker@math.uni-augsburg.de; maier@math.uni-augsburg.de,undefined
[5] Department of Mathematics and Statistics,undefined
[6] University of Maryland,undefined
[7] Baltimore County,undefined
[8] Baltimore,undefined
[9] ¶MD 21250,undefined
[10] USA. E-mail: wanner@math.umbc.edu,undefined
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关键词
Phase Separation; Homogeneous State; Positive Parameter; Atomic Scale; Spinodal Decomposition;
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摘要
This paper gives theoretical results on spinodal decomposition for the stochastic Cahn–Hilliard–Cook equation, which is a Cahn–Hilliard equation perturbed by additive stochastic noise. We prove that most realizations of the solution which start at a homogeneous state in the spinodal interval exhibit phase separation, leading to the formation of complex patterns of a characteristic size.
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页码:553 / 582
页数:29
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