output
20102019
most citedComb model with slow and ultraslow diffusion

57 citations

10 papers

cond-mat.stat-mech2019★ 56 cited

Generalized diffusion-wave equation with memory kernel

Trifce Sandev, Zivorad Tomovski, Johan Dubbeldam +1

We study generalized diffusion-wave equation in which the second order time derivative is replaced by integro-differential operator. It yields time fractional and distributed order…

cond-mat.stat-mech2018★ 25 cited

Finite-velocity diffusion on a comb

Trifce Sandev, Alexander Iomin

A Cattaneo equation for a comb structure is considered. We present a rigorous analysis of the obtained fractional diffusion equation, and corresponding solutions for the probabilit…

cond-mat.stat-mech2018★ 27 cited

Models for characterizing the transition among anomalous diffusions with different diffusion exponents

Trifce Sandev, Weihua Deng, Pengbo Xu

Based on the theory of continuous time random walks (CTRW), we build the models of characterizing the transitions among anomalous diffusions with different diffusion exponents, oft…

cond-mat.stat-mech2017★ 42 cited

Heterogeneous diffusion in comb and fractal grid structures

Trifce Sandev, Alexander Schulz, Holger Kantz +1

We give an exact analytical results for diffusion with a power-law position dependent diffusion coefficient along the main channel (backbone) on a comb and grid comb structures. Fo…

cond-mat.stat-mech2016★ 29 cited

Anomalous diffusion on a fractal mesh

Trifce Sandev, Alexander Iomin, Holger Kantz

An exact analytical analysis of anomalous diffusion on a fractal mesh is presented. The fractal mesh structure is a direct product of two fractal sets which belong to a main branch…

cond-mat.stat-mech2016★ 28 cited

Lévy processes on a generalized fractal comb

Trifce Sandev, Alexander Iomin, Vicenç Méndez

Comb geometry, constituted of a backbone and fingers, is one of the most simple paradigm of a two dimensional structure, where anomalous diffusion can be realized in the framework…