3 papers
cond-mat.stat-mech2021
Polygon-based hierarchical planar networks based on generalized Apollonian construction
M. V. Tamm, D. G. Koval, V. I. Stadnichuk
Experimentally observed complex networks are often scale-free, small-world and have unexpectedly large number of small cycles. Apollonian network is one notable example of a model…
cond-mat.stat-mech2018
Kinetic regimes in aggregating systems with spontaneous and collisional fragmentation
Anna S. Bodrova, Vladimir Stadnichuk, P. L. Krapivsky +2
We analyze systems of clusters and interacting upon colliding---a collision between two clusters may lead to merging or fragmentation---and we also investigate the influence of add…
physics.comp-ph2015
Smoluchowski aggregation-fragmentation equations: Fast numerical algorithm for steady-state solution
Vladimir Stadnichuk, Anna Bodrova, Nikolai Brilliantov
We propose an efficient and fast numerical algorithm of finding a \emph{stationary} solution of large systems of aggregation-fragmentation equations of Smoluchowski type for concen…