Shape anisotropy of polymers in disordered environment

V Blavatska, W Janke - The Journal of chemical physics, 2010 - pubs.aip.org
We study the influence of structural obstacles in a disordered environment on the size and
shape characteristics of long flexible polymer macromolecules. We use the model of self …

Benefits of fractal approaches in solid dosage form development

R Abreu-Villela, M Kuentz, I Caraballo - Pharmaceutical research, 2019 - Springer
Pharmaceutical formulations are complex systems consisting of active pharmaceutical
ingredient (s) and a number of excipients selected to provide the intended performance of …

Coagulation-flocculation process on a lattice: Monte Carlo simulations

V Blavatska, J Ilnytskyi… - Journal of Physics A …, 2024 - iopscience.iop.org
Coagulation-flocculation, the physicochemical process widely used for purification a
wastewater, is affected both by chemical details of involved polymers and by the statistics of …

Recursive percolation

XW Liu, Y Deng, JL Jacobsen - Physical Review E, 2015 - APS
We introduce a simple lattice model in which percolation is constructed on top of critical
percolation clusters, and find compelling numerical evidence that it can be repeated …

SAWstitch: exploring self-avoiding walks through hand embroidery

CP Brown, KR Cook, PA Beales, L Dougan - Physics Education, 2022 - iopscience.iop.org
A self-avoiding walk (SAW) is a sequence of moves on a grid that does not visit the same
point more than once. SAWs are used to study how networks form, including social …

Equivalence of quenched and annealed averaging in models of disordered polymers

V Blavatska - Journal of Physics: Condensed Matter, 2013 - iopscience.iop.org
The equivalence of the influence of quenched and annealed disorder on the scaling
properties of long flexible polymer chains is proved by analyzing the O (m)-symmetric field …

Scaling exponents for a monkey on a tree: Fractal dimensions of randomly branched polymers

HK Janssen, O Stenull - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
We study asymptotic properties of diffusion and other transport processes (including self-
avoiding walks and electrical conduction) on large, randomly branched polymers using …

Asymptotic scaling behavior of self-avoiding walks on critical percolation clusters

N Fricke, W Janke - Physical Review Letters, 2014 - APS
We study self-avoiding walks on three-dimensional critical percolation clusters using a new
exact enumeration method. It overcomes the exponential increase in computation time by …

Simulating flexible polymers in a potential of randomly distributed hard disks

S Schöbl, J Zierenberg, W Janke - … Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
We perform equilibrium computer simulations of a two-dimensional pinned flexible polymer
exposed to a quenched disorder potential consisting of hard disks. We are especially …

Polymers in crowded environment under stretching force: Globule-coil transitions

V Blavatska, W Janke - Physical Review E—Statistical, Nonlinear, and Soft …, 2009 - APS
We study flexible polymer macromolecules in a crowded (porous) environment, modeling
them as self-attracting self-avoiding walks on site-diluted percolative lattices in space …