Stochastic resonance for motion of flexible macromolecules in solution

Area of Science:

• Polymer Physics
• Statistical Mechanics
• Soft Matter Physics

Background:

• Macromolecular motion in polymer solutions is influenced by localized attracting centers and phase boundaries.
• These attracting centers act as pinning sites, restricting polymer segment mobility.
• Phase boundaries can be modeled as bistable potentials influencing segment dynamics.

Purpose of the Study:

• To investigate the dynamics of polymer segments in dilute or semidilute solutions under stochastic and periodic forces.
• To analyze the phenomenon of stochastic resonance in this system.
• To explore conditions for doubly stochastic resonance arising from multiplicative noise.

Main Methods:

• Theoretical modeling of polymer solutions with localized attracting centers and a bistable potential boundary.
• Analysis of stochastic oscillations driven by random forces.
• Application of periodic forces to induce synchronization and stochastic resonance.

Main Results:

• Stochastic forces induce oscillations of polymer segments between potential wells.
• Periodic forces synchronize these oscillations, leading to stochastic resonance at non-zero noise intensities.
• Resonance effects are more pronounced for wider/shallower potentials and lower noise intensities.

Conclusions:

• Stochastic resonance is a viable mechanism for enhancing signal detection in polymer systems.
• The characteristics of the potential landscape and noise intensity critically influence resonance phenomena.
• Doubly stochastic resonance may occur under specific multiplicative noise conditions.