English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study the interaction problem of a linear polymer chain, floating infractal containers that belong to the three-dimensional Sierpinski gasket (3DSG) family of fractals, with a surface-adsorbed linear polymer chain. Eachmember of the 3D SG fractal family has a fractal impenetrable 2D adsorbingsurface, which appears to be 2D SG fractal. The two-polymer system is modelledby two mutually crossing self-avoiding walks. By applying the Monte CarloRenormalization Group (MCRG) method, we calculate the critical exponents$\phi$, associated with the number of contacts of the 3D SG floating polymerchain, and the 2D SG adsorbed polymer chain, for a sequence of SG fractals with$2\le b\le 40$. Besides, we propose the codimension additivity (CA) argumentformula for $\phi$, and compare its predictions with our reliable set of theMCRG data. We find that $\phi$ monotonically decreases with increasing $b$,that is, with increase of the container fractal dimension. Finally, we discussthe relations between different contact exponents, and analyze their possiblebehaviour in the fractal-to-Euclidean crossover region $b\to\infty$.Comment: 15 pages, 3 figure

On the number of contacts of a floating polymer chain cross-linked with a surface adsorbed chain on fractal structures