output
19952020
most citedQuantitative Phase Field Model of Alloy Solidification

816 citations

Showing 2019Show all

8 papers · 1 filter

cond-mat.stat-mech2019★ 46 cited

Universal spectral features of different classes of random diffusivity processes

V. Sposini, D. S. Grebenkov, R. Metzler +2

.Stochastic models based on random diffusivities, such as the diffusing-diffusivity approach, are popular concepts for the description of non-Gaussian diffusion in heterogeneous me…

physics.chem-ph2019★ 58 cited

Spectral theory of imperfect diffusion-controlled reactions on heterogeneous catalytic surfaces

Denis S. Grebenkov

We propose a general theoretical description of chemical reactions occurring on a catalytic surface with heterogeneous reactivity. The propagator of a diffusion-reaction process wi…

cond-mat.soft2019★ 11 cited

Kinetics of coarsening have dramatic effects on the microstructure: self-similarity breakdown induced by viscosity contrast

Hervé Henry, György Tegze

The viscous coarsening of a phase separated mixture is studied and the effects of the viscosity contrast between the phases are investigated. From an analysis of the microstructure…

physics.soc-ph2019★ 5 cited

Morphological organization of point-to-point transport in complex networks

Min-Yeong Kang, Geoffroy Berthelot, Liubov Tupikina +4

We investigate the structural organization of the point-to-point electric, diffusive or hydraulic transport in complex scale-free networks. The random choice of two nodes, a source…

physics.med-ph2019★ 31 cited

Localization regime in diffusion NMR: theory and experiments

Nicolas Moutal, Kerstin Demberg, Denis Grebenkov +1

In this work we investigate the emergence of the localization regime for diffusion in various geometries: inside slabs, inside cylinders and around rods arranged on a square array.…

math-ph2019★ 15 cited

A physicist's guide to explicit summation formulas involving zeros of Bessel functions and related spectral sums

Denis S. Grebenkov

We summarize the mathematical basis and practical hints for the explicit analytical computation of spectral sums that involve the eigenvalues of the Laplace operator in simple doma…

cond-mat.stat-mech2019★ 47 cited

Time-averaged MSD for switching diffusion

Denis S. Grebenkov

We consider a classic two-state switching diffusion model from a single-particle tracking perspective. The mean and the variance of the time-averaged mean square displacement (TAMS…

cond-mat.stat-mech2019★ 33 cited

Non-Gaussian diffusion of mixed origins

Yann Lanoiselée, Denis S. Grebenkov

The properties of diffusion processes are drastically affected by heterogeneities of the medium that can induce non-Gaussian behavior of the propagator in contrast with the idealiz…