Area-preserving dynamics of a long slender finger by curvature: A test case for globally conserved phase ordering

Avner Peleg; Baruch Meerson; Arkady Vilenkin; Massimo Conti

doi:10.1103/PhysRevE.63.066101

Area-preserving dynamics of a long slender finger by curvature: A test case for globally conserved phase ordering

Avner Peleg
, Baruch Meerson
, Arkady Vilenkin
, Massimo Conti

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

The dynamics of a long slender finger-shaped domain undergoing globally conserved coarsening was studied. Both the leading and the subleading terms of the solution were calculated analytically and verified by a numerical solution of the corresponding phase field equation: the Ginzburg-Landau equation with a global conservation law.

Original language	English
Article number	066101
Pages (from-to)	066101/1-066101/7
Journal	Physical Review E
Volume	63
Issue number	6 II
DOIs	https://doi.org/10.1103/PhysRevE.63.066101
State	Published - Jun 2001

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title = "Area-preserving dynamics of a long slender finger by curvature: A test case for globally conserved phase ordering",

abstract = "The dynamics of a long slender finger-shaped domain undergoing globally conserved coarsening was studied. Both the leading and the subleading terms of the solution were calculated analytically and verified by a numerical solution of the corresponding phase field equation: the Ginzburg-Landau equation with a global conservation law.",

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Area-preserving dynamics of a long slender finger by curvature: A test case for globally conserved phase ordering

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