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Phase transitions in single macromolecules: Loop-stretch transition versus loop adsorption transition in end-grafted

Shuangshuang Zhang¹, Shuanhu Qi², Leonid I Klushin³

¹Department of Physics, Beijing Normal University, Beijing 100875, China.

The Journal of Chemical Physics

|February 3, 2018

Summary

This study compares loop adsorption and loop-stretch transitions using simulations and theory. Both transitions exhibit similar static behaviors but distinct dynamic relaxations, offering insights into polymer chain dynamics.

Area of Science:

Polymer Physics
Soft Matter Physics
Computational Biophysics

Background:

Single molecule transitions are crucial for understanding polymer behavior.
Two key transitions are loop adsorption and loop-stretch, driven by different forces.
Comparing their static and dynamic properties reveals fundamental differences.

Purpose of the Study:

To compare the static and dynamic behaviors of loop adsorption and loop-stretch transitions.
To analyze order parameters like surface contacts and end position.
To develop analytical expressions for crossover functions.

Main Methods:

Brownian dynamics simulations.
Analytical theory.
Finite-size scaling analysis.
Order parameter distribution analysis.

Main Results:

Both transitions are well-described by scaling laws with specific exponents (crossover exponent ϕ and Flory exponent ν).
Explicit analytical crossover functions accurately predict static properties for both transitions.
Dynamic relaxation shows qualitative differences, particularly in strongly ordered regimes.

Conclusions:

Loop adsorption and loop-stretch transitions offer unique opportunities for analytical modeling.
Static behaviors are similar, but dynamics differ due to local vs. global relaxation processes.
Surface contact dynamics are local, while end-height relaxation involves Rouse modes.

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