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Optimized Fabrication Procedure for High-Quality Graphene-based Moiré Superlattice Devices

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Lattice stretching bistability and dynamic heterogeneity.

P L Christiansen¹, A V Savin, A V Zolotaryuk

¹Department of Informatics, Technical University of Denmark, Kgs. Lyngby, Denmark.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|June 12, 2012

Summary

A novel lattice model explains the force-stretching plateau in macromolecules like DNA. It reveals how chain conformation changes, driven by specific potentials and couplings, create this plateau.

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Area of Science:

Biophysics
Polymer Physics
Computational Biology

Background:

Macromolecules exhibit unique force-stretching behaviors, including plateaus, crucial for their function.
Understanding these behaviors requires models that capture complex inter-atomic interactions.

Purpose of the Study:

To develop a one-dimensional lattice model explaining the force-stretching plateau observed in macromolecules.
To investigate the role of nearest-neighbor Morse-like potentials and second-neighbor harmonic coupling.

Main Methods:

A simple one-dimensional lattice model with specific potential interactions was developed.
The model simulates external stretching and analyzes conformational changes.
Topological solitons were used to describe transitions between conformations.

Main Results:

The model predicts a heterogeneous structure with single-well and double-well potentials under weak second-neighbor coupling.
This heterogeneous structure explains the plateau in force-extension diagrams for DNA and alpha-helix proteins.
Soliton dynamics were analyzed in detail, revealing transitions between bistable ground states.

Conclusions:

The proposed lattice model successfully explains the force-stretching plateau phenomenon in macromolecules.
The model highlights the importance of specific potential interactions and coupling strengths in determining macromolecular behavior.
This work provides a theoretical framework for understanding the mechanical properties of biopolymers.