Concentration effects in mesoscopic simulation of coarsening

David J. Horntrop

doi:10.1016/j.matcom.2009.10.002

Concentration effects in mesoscopic simulation of coarsening

David J. Horntrop

Mathematical Sciences

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

2 Scopus citations

Abstract

The self-organization of particles in a two-phase system in the coexistence region through a diffusive mechanism is known as Ostwald ripening. A mesoscopic model derived from the spin exchange Ising model is used here in a computational study of Ostwald ripening. The typical cluster size is observed to grow like Lifshitz-Slyozov growth law over an early range of times with faster growth at later times. The effect of changing the concentration of particles on the morphological evolution of the system is also discussed.

Original language	English (US)
Pages (from-to)	1082-1088
Number of pages	7
Journal	Mathematics and Computers in Simulation
Volume	80
Issue number	6
DOIs	https://doi.org/10.1016/j.matcom.2009.10.002
State	Published - Feb 2010

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
General Computer Science
Numerical Analysis
Modeling and Simulation
Applied Mathematics

Keywords

Lifshitz-Slyozov growth law
Mesoscopic models
Monte Carlo simulation
Spectral methods
Stochastic partial differential equations

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10.1016/j.matcom.2009.10.002

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title = "Concentration effects in mesoscopic simulation of coarsening",

abstract = "The self-organization of particles in a two-phase system in the coexistence region through a diffusive mechanism is known as Ostwald ripening. A mesoscopic model derived from the spin exchange Ising model is used here in a computational study of Ostwald ripening. The typical cluster size is observed to grow like Lifshitz-Slyozov growth law over an early range of times with faster growth at later times. The effect of changing the concentration of particles on the morphological evolution of the system is also discussed.",

keywords = "Lifshitz-Slyozov growth law, Mesoscopic models, Monte Carlo simulation, Spectral methods, Stochastic partial differential equations",

author = "Horntrop, {David J.}",

note = "Funding Information: The author would like to thank Markos Katsoulakis for many useful conversations. This research is partly supported by NSF-DMS-0406633 and NSF-DMS-0420590 (MRI-computer cluster).",

year = "2010",

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doi = "10.1016/j.matcom.2009.10.002",

language = "English (US)",

volume = "80",

pages = "1082--1088",

journal = "Mathematics and Computers in Simulation",

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T1 - Concentration effects in mesoscopic simulation of coarsening

AU - Horntrop, David J.

N1 - Funding Information: The author would like to thank Markos Katsoulakis for many useful conversations. This research is partly supported by NSF-DMS-0406633 and NSF-DMS-0420590 (MRI-computer cluster).

PY - 2010/2

Y1 - 2010/2

N2 - The self-organization of particles in a two-phase system in the coexistence region through a diffusive mechanism is known as Ostwald ripening. A mesoscopic model derived from the spin exchange Ising model is used here in a computational study of Ostwald ripening. The typical cluster size is observed to grow like Lifshitz-Slyozov growth law over an early range of times with faster growth at later times. The effect of changing the concentration of particles on the morphological evolution of the system is also discussed.

AB - The self-organization of particles in a two-phase system in the coexistence region through a diffusive mechanism is known as Ostwald ripening. A mesoscopic model derived from the spin exchange Ising model is used here in a computational study of Ostwald ripening. The typical cluster size is observed to grow like Lifshitz-Slyozov growth law over an early range of times with faster growth at later times. The effect of changing the concentration of particles on the morphological evolution of the system is also discussed.

KW - Lifshitz-Slyozov growth law

KW - Mesoscopic models

KW - Monte Carlo simulation

KW - Spectral methods

KW - Stochastic partial differential equations

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U2 - 10.1016/j.matcom.2009.10.002

DO - 10.1016/j.matcom.2009.10.002

M3 - Article

AN - SCOPUS:77649274605

SN - 0378-4754

VL - 80

SP - 1082

EP - 1088

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

IS - 6

ER -

Concentration effects in mesoscopic simulation of coarsening

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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