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Active stabilization in systems with negative stiffness is crucial for biological processes. This study demonstrates how active rigidity can be generated in stochastic systems, linking noise correlations to rigidity transitions and pseudowell formation.

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Area of Science:

  • Biophysics
  • Statistical Mechanics
  • Soft Matter Physics

Background:

  • Active stabilization is vital in biological systems, often involving components with zero or negative stiffness.
  • Understanding how systems maintain stability under fluctuating conditions is a key challenge.

Purpose of the Study:

  • To investigate the generation of active rigidity in overdamped stochastic systems.
  • To elucidate the role of noise correlations and out-of-equilibrium driving in forming effective energy pseudowells.

Main Methods:

  • Modeling an overdamped stochastic system to simulate active stabilization.
  • Analyzing the effective energy landscape to identify pseudowell formation.
  • Investigating the impact of time correlations in additive noise on system rigidity.

Main Results:

  • Active rigidity can emerge in stochastic systems, manifesting as a pseudowell in the effective energy landscape.
  • The transition from negative to positive rigidity is directly linked to time correlations in the system's noise.
  • Deviations in the out-of-equilibrium driving can hinder the formation of the stabilizing pseudowell.

Conclusions:

  • Active rigidity is a mechanism for stabilization in systems with inherent instability.
  • Noise characteristics and driving forces critically influence the emergence of stable configurations through pseudowells.
  • This work provides insights into the physical principles underlying active stabilization in biological and synthetic systems.