activity
19972026
most citedMatrix approach to discrete fractional calculus II: partial fractional differential equations

461 citations · 5.5k across the 112 of their papers we have counts for

collaborators

115 papers

cond-mat.mes-hall2026

Helicity-Controlled Hall Transport in Hybrid Topological Magnetic Textures

Anton V. Hlushchenko, Julia Kharlan, Mykhailo I. Bratchenko +3

Topological magnetic textures can serve as information carriers driven by spin currents. However, their motion is generally accompanied by a Hall effect that deflects them from the…

cond-mat.soft2026

Drift-diffusion interplay in active Brownian particles under orienting field

Andrey A. Kuznetsov, Vittoria Sposini, Sofia S. Kantorovich +1

Magnetic active particles offer a versatile route to externally controlled microscale transport by combining self-propulsion with field-tunable orientation, as realized in both syn…

cond-mat.stat-mech2026

The diffusion equation for non-Markovian Gaussian stochastic processes

Alessandro Taloni, Gianni Pagnini, Aleksei Chechkin

We derive the exact evolution equation for the probability density function of particle displacements generated by arbitrary Gaussian velocity processes, when neither Markovianity…

cond-mat.dis-nn2026

Stochastic Dynamics of Domain Wall on a Racetrack: Impact of Line-Edge Roughness

Anton V. Hlushchenko, Oksana L. Andrieieva, Mykhailo I. Bratchenko +3

We investigate the impact of line-edge roughness on current-driven domain wall dynamics in ferromagnetic racetracks. Modeling the edge disorder as a spatially correlated Ornstein-U…

cond-mat.stat-mech2026

Genuine and spurious (non-)ergodicity in single particle tracking

Wei Wang, Qing Wei, Igor M. Sokolov +2

In single-particle tracking experiments measuring anomalous diffusion dynamics, understanding ergodicity is crucial, as it ensures that the time average of an observable matches th…

cond-mat.dis-nn2025

Stochastic Dynamics of Skyrmions on a Racetrack: Impact of Equilibrium and Nonequilibrium Noise

Anton V. Hlushchenko, Mykhailo I. Bratchenko, Aleksei V. Chechkin

Current-driven motion of domain walls and skyrmions is central to the operation of non-volatile magnetic memory devices. Racetrack memory requires current densities high enough to…