323 citations · 1.5k across the 35 of their papers we have counts for
35 papers
Non-Markovian closure kinetics of flexible polymers with hydrodynamic interactions
Nicolas Levernier, Maxim Dolgushev, Olivier Bénichou +3
This paper presents a theoretical analysis of the closure kinetics of a polymer with hydrodynamic interactions. This analysis, which takes into account the non-Markovian dynamics o…
Contact Kinetics in Fractal Macromolecules
Maxim Dolgushev, Thomas Guérin, Alexander Blumen +2
We consider the kinetics of first contact between two monomers of the same macromolecule. Relying on a fractal description of the macromolecule, we develop an analytical method to…
Directed transport in quantum star graphs
Jambul Yusupov, Maxim Dolgushev, Alexander Blumen +1
We study the quantum dynamics of Gaussian wave packets on star graphs whose arms feature each a periodic potential and an external time-dependent field. Assuming that the potential…
Slow Encounters of Particle Pairs in Branched Structures
Elena Agliari, Alexander Blumen, Davide Cassi
On infinite homogeneous structures, two random walkers meet with certainty if and only if the structure is recurrent, i.e., a single random walker returns to its starting point wit…
Transport properties of continuous-time quantum walks on Sierpinski fractals
Zoltán Darázs, Anastasiia Anishchenko, Tamás Kiss +2
We model quantum transport, described by continuous-time quantum walks (CTQW), on deterministic Sierpinski fractals, differentiating between Sierpinski gaskets and Sierpinski carpe…
Geometrical aspects of quantum walks on random two-dimensional structures
Anastasiia Anishchenko, Alexander Blumen, Oliver Muelken
We study the transport properties of continuous-time quantum walks (CTQW) over finite two-dimensional structures with a given number of randomly placed bonds and with different asp…