Shape anisotropy of polymers in disordered environment.

Area of Science:

• Polymer physics
• Statistical mechanics
• Materials science

Background:

• Understanding polymer behavior in complex environments is crucial for materials design.
• Disordered environments and structural obstacles significantly influence macromolecule conformation.
• Percolation theory provides a framework for studying systems with obstacles.

Purpose of the Study:

• To investigate how structural obstacles in disordered media impact the size and shape of flexible polymer macromolecules.
• To quantify the anisotropy of polymer chains in such environments.
• To provide numerical estimates of universal quantities related to polymer conformation.

Main Methods:

• Modeling polymers as self-avoiding random walks on diluted regular lattices.
• Simulating systems at the percolation threshold in 2 and 3 spatial dimensions.
• Employing the pruned-enriched Rosenbluth method for numerical estimation.
• Calculating rotationally invariant universal quantities like averaged asphericity and prolateness.

Main Results:

• The presence of structural obstacles leads to anisotropic polymer chain configurations.
• Numerical estimates for averaged asphericity and prolateness were obtained.
• The study quantitatively reveals the degree of macromolecule anisotropy.

Conclusions:

• Structural obstacles in disordered environments induce significant anisotropy in polymer macromolecules.
• The findings contribute to a fundamental understanding of polymer physics in complex media.
• This research offers insights into the conformational properties of polymers influenced by defects.