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19952020
most citedQuantitative Phase Field Model of Alloy Solidification

816 citations

Showing 2012Show all

6 papers · 1 filter

cond-mat.mtrl-sci2012★ 46 cited

Theoretical and numerical study of lamellar eutectoid growth influenced by volume diffusion

Kumar Ankit, Abhik Choudhury, Cheng Qin +3

We investigate the lamellar growth of pearlite at the expense of austenite during the eutectoid transformation in steel. To begin with, we extend the Jackson-Hunt-type calculation…

cond-mat.mtrl-sci2012★ 35 cited

An orientation-field model for polycristalline solidification with a singular coupling between order and orientation

Hervé Henry, Jesper Mellenthin, Mathis Plapp

The solidification of polycrystalline materials can be modelled by orientation-field models, which are formulated in terms of two continuous fields: a phase field that describes th…

cond-mat.stat-mech2012★ 36 cited

Time-averaged MSD of Brownian motion

Alexei Andreanov, Denis Grebenkov

We study the statistical properties of the time-averaged mean-square displacements (TAMSD). This is a standard non-local quadratic functional for inferring the diffusion coefficien…

cond-mat.stat-mech2012★ 17 cited

Kardar-Parisi-Zhang asymptotics for the two-dimensional noisy Kuramoto-Sivashinsky equation

Matteo Nicoli, Edoardo Vivo, Rodolfo Cuerno

We study numerically the Kuramoto-Sivashinsky (KS) equation forced by external white noise in two space dimensions, that is a generic model for e.g. surface kinetic roughening in t…

math-ph2012★ 24 cited

Localization of Laplacian eigenfunctions in circular, spherical and elliptical domains

Binh-Thanh Nguyen, Denis Grebenkov

We consider Laplacian eigenfunctions in circular, spherical and elliptical domains in order to discuss three kinds of high-frequency localization: whispering gallery modes, bouncin…

math.DS2012

On the Hausdorff dimension of Julia sets of some real polynomials

Genadi Levin, Michel Zinsmeister

We show that the supremum for real of the Hausdorff dimension of the Julia set of the polynomial ( is an even natural number) is greater than .