Stochastic resonance in soft matter systems: combined effects of static and dynamic disorder

Abstract

We study the impact of static and dynamic disorder on the phenomenon of stochastic resonance (SR) in a representative soft matter system. Due to their extreme susceptibility to weak perturbations soft matter systems appear to be excellent candidates for the observation of SR. Indeed, we derive generic SR equations from a polymer stabilized ferroelectric liquid crystal (LC) cell, which is a typical soft matter representative constituting one of the basic components in several electro-optic applications. We generalize these equations further in order to study an even broader class of qualitatively different systems, especially disclosing the influence of different types of static disorder and interaction ranges amongst LC molecules on the SR response. We determine the required conditions for the observation of SR in the examined system, and moreover, reveal that a random field type static disorder yields qualitatively different responses with respect to random dilution, random bond and spin glass universality classes. In particular, while the latter three decrease the level of dynamic disorder (Gaussian noise) warranting the optimal response, the former evokes exactly the opposite effect, hence increasing the optimal noise level that is needed to resonantly fine-tune the system's response in accordance with the weak deterministic electric field. These observations are shown to be independent of the system size and range of interactions, thus implying their general validity and potentially wide applicability also within other similar settings. We argue that soft matter systems might be particularly adequate as a base for different SR-based sensitive detectors and thus potent candidates for additional theoretical as well as experimental research in the presently outlined direction.

arXiv comment11 two-column pages, 6 figures; accepted for publication in Soft Matter

References in corpus (12)

• Coherent Signal Amplification in Bistable Nanomechanical Oscillators by Stochastic Resonance
• Diversity-induced resonance
• System size resonance in coupled noisy systems and in the Ising model
• Amplified signal response in scale-free networks by collaborative signaling
• Two-state theory of nonlinear Stochastic Resonance
• Non-Markovian Stochastic Resonance: three state model of ion channel gating
• An Analytical Study of Coupled Two-State Stochastic Resonators
• Stochastic Resonance in Ising Systems
• Stochastic Resonance in Underdamped, Bistable Systems
• Subthreshold Stochastic Resonance: Rectangular signals can cause anomalous large gains
• Theory of frequency and phase synchronization in a rocked bistable stochastic system
• Signal Amplification in NbN Superconducting Resonators via Stochastic Resonance

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