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19952020
most citedQuantitative Phase Field Model of Alloy Solidification

816 citations

Showing 2011Show all

5 papers · 1 filter

math-ph2011★ 14 cited

Trapped modes in finite quantum waveguides

Andrey L. Delitsyn, Binh-Thanh Nguyen, Denis S. Grebenkov

The Laplace operator in infinite quantum waveguides (e.g., a bent strip or a twisted tube) often has a point-like eigenvalue below the essential spectrum that corresponds to a trap…

cond-mat.stat-mech2011★ 6 cited

Dynamical Renormalization Group Study for a Class of Non-local Interface Equations

Matteo Nicoli, Rodolfo Cuerno, Mario Castro

We provide a detailed Dynamic Renormalization Group study for a class of stochastic equations that describe non-conserved interface growth mediated by non-local interactions. We co…

math-ph2011★ 13 cited

Exponential decay of Laplacian eigenfunctions in domains with branches

Andrey Delitsyn, Binh-Thanh Nguyen, Denis S. Grebenkov

The behavior of Laplacian eigenfunctions in domains with branches is investigated. If an eigenvalue is below a threshold which is determined by the shape of the branch, the associa…

cond-mat.mes-hall2011★ 229 cited

Nanoscale magnetic field mapping with a single spin scanning probe magnetometer

L. Rondin, J. -P. Tetienne, P. Spinicelli +7

We demonstrate quantitative magnetic field mapping with nanoscale resolution, by applying a lock-in technique on the electron spin resonance frequency of a single nitrogen-vacancy…

cond-mat.stat-mech2011★ 73 cited

Mean first-passage time of surface-mediated diffusion in spherical domains

O. Bénichou, D. S. Grebenkov, P. E. Levitz +2

We present an exact calculation of the mean first-passage time to a target on the surface of a 2D or 3D spherical domain, for a molecule alternating phases of surface diffusion on…