56 citations · 224 across the 14 of their papers we have counts for
14 papers
Mapping self-avoiding walk on obstacle-ridden lattice onto chelation of heavy metal ions: Monte Carlo study
V. Blavatska, Ja. Ilnytskyi, E. Lähderanta
Self-avoiding walk (SAW) represents linear polymer chain on a large scale, neglecting its chemical details and emphasizing the role of its conformational statistics. The role of th…
Evolutionary adaptation is facilitated by the presence of lethal genotypes
Viktoria Blavatska, Bartlomiej Waclaw
The adaptation rate in theoretical models of biological evolution increases with the mutation rate but only to a point when mutations into lethal states cause extinction. One would…
Percolation thresholds and fractal dimensions for square and cubic lattices with long-range correlated defects
Johannes Zierenberg, Niklas Fricke, Martin Marenz +3
We study long-range power-law correlated disorder on square and cubic lattices. In particular, we present high-precision results for the percolation thresholds and the fractal dime…
Scaling laws for random walks in long-range correlated disordered media
N. Fricke, J. Zierenberg, M. Marenz +3
We study the scaling laws of diffusion in two-dimensional media with long-range correlated disorder through exact enumeration of random walks. The disordered medium is modelled by…
One-Dimensional Random Walk in Multi-Zone Environment
A. V. Nazarenko, V. Blavatska
We study a symmetric random walk (RW) in one spatial dimension in environment, formed by several zones of finite width, where the probability of transition between two neighboring…
Conformational transitions in random heteropolymer models
Viktoria Blavatska, Wolfhard Janke
We study the conformational properties of heteropolymers containing two types of monomers A and B, modeled as self-avoiding random walks on a regular lattice. Such a model can desc…