output
19952020
most citedQuantitative Phase Field Model of Alloy Solidification

816 citations

Showing 2017Show all

11 papers · 1 filter

cond-mat.stat-mech2017★ 35 cited

Heterogeneous continuous time random walks

Denis S. Grebenkov, Liubov Tupikina

We introduce a heterogeneous continuous time random walk (HCTRW) model as a versatile analytical formalism for studying and modeling diffusion processes in heterogeneous structures…

cond-mat.stat-mech2017★ 20 cited

Statistical analysis of random trajectories of vibrated disks: towards a macroscopic realization of Brownian motion

Yann Lanoiselée, Guillaume Briand, Olivier Dauchot +1

We propose a macroscopic realization of planar Brownian motion by vertically vibrated disks. We perform a systematic statistical analysis of many random trajectories of individual…

math.AP2017★ 50 cited

Localization of eigenfunctions via an effective potential

Douglas N. Arnold, Guy David, Marcel Filoche +2

We consider the localization of eigenfunctions for the operator $L=-\mbox{div} A \nabla + V$ on a Lipschitz domain and, more generally, on manifolds with and without boundary.…

math-ph2017★ 7 cited

Mode matching methods for spectral and scattering problems

A. Delitsyn, D. S. Grebenkov

We present several applications of mode matching methods in spectral and scattering problems. First, we consider the eigenvalue problem for the Dirichlet Laplacian in a finite cyli…

cond-mat.stat-mech2017★ 43 cited

Unravelling intermittent features in single particle trajectories by a local convex hull method

Y. Lanoiselée, D. S. Grebenkov

We propose a new model-free method to detect change points between distinct phases in a single random trajectory of an intermittent stochastic process. The local convex hull (LCH)…

math-ph2017★ 19 cited

Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains

Yaniv Almog, Denis Grebenkov, Bernard Helffer

Generalizing previous results obtained for the spectrum of the Dirichlet and Neumann realizations in a bounded domain of a Schrödinger operator with a purely imaginary potential $h…

cond-mat.mtrl-sci2017★ 6 cited

Theory of the Anomalous Tunnel Hall Effect at Ferromagnet-Semiconductor Junctions

T. Huong Dang, D. Quang To, E. Erina +4

We report on theoretical investigations of carrier scattering asymmetry at ferromagnet-semiconductor junctions. By an analytical spin model, we show that, when Dresselh…

cond-mat.mtrl-sci2017★ 141 cited

Localization landscape theory of disorder in semiconductors. III. Application to carrier transport and recombination in light emitting diodes

Chi-Kang Li, Marco Piccardo, Li-Shuo Lu +7

This paper introduces a novel method to account for quantum disorder effects into the classical drift-diffusion model of semiconductor transport through the localization landscape…

cond-mat.mtrl-sci2017★ 127 cited

Localization landscape theory of disorder in semiconductors II: Urbach tails of disordered quantum well layers

Marco Piccardo, Chi-Kang Li, Yuh-Renn Wu +7

Urbach tails in semiconductors are often associated to effects of compositional disorder. The Urbach tail observed in InGaN alloy quantum wells of solar cells and LEDs by biased ph…

cond-mat.mtrl-sci2017★ 121 cited

Localization landscape theory of disorder in semiconductors I: Theory and modeling

Marcel Filoche, Marco Piccardo, Yuh-Renn Wu +3

We present here a model of carrier distribution and transport in semiconductor alloys accounting for quantum localization effects in disordered materials. This model is based on th…

cond-mat.mtrl-sci2017★ 26 cited

Grain coarsening in two-dimensional phase-field models with an orientation field

Balint Korbuly, Tamas Pusztai, Herve Henry +3

In the literature, contradictory results have been published regarding the form of the limiting (long-time) grain size distribution (LGSD) that characterizes the late stage grain c…