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Fluctuation loops in noise-driven linear dynamical systems.

Akhil Ghanta1, John C Neu2, Stephen Teitsworth1

  • 1Duke University, Department of Physics, Box 90305 Durham, North Carolina 27708-0305, USA.

Physical Review. E
|April 19, 2017
PubMed
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Researchers studied fluctuation loops in noise-driven systems, revealing loop structures formed by optimal pathways in systems without detailed balance. The area tensor quantifies these loops, vanishing when detailed balance is met.

Area of Science:

  • Nonlinear dynamics
  • Statistical physics
  • Complex systems

Background:

  • Understanding noise-driven systems is crucial for fields like statistical physics.
  • Detailed balance is a key concept in equilibrium statistical mechanics.
  • Nonequilibrium systems exhibit complex behaviors not seen in equilibrium.

Purpose of the Study:

  • Investigate fluctuation loops in nonequilibrium systems.
  • Analyze the structure of optimal fluctuation pathways.
  • Characterize fluctuation loops using a time-dependent area tensor.

Main Methods:

  • Studied a linear circuit model with coupled RC elements and independent noise sources.
  • Employed a stochastic Hamiltonian approach to determine optimal pathways.

Related Experiment Videos

  • Analytically constructed fluctuation loops and analyzed their phase space structure.

    • Main Results:

    • Identified loop-like structures (fluctuation loops) formed by optimal pathways in systems lacking detailed balance.
    • Quantitatively characterized fluctuation loops using the time-dependent area tensor.
    • Demonstrated that the area tensor scales linearly with time at long times.

    Conclusions:

    • The study provides analytical insights into fluctuation loops in driven dissipative systems.
    • The vanishing of the area tensor's coefficient signifies the presence of detailed balance.
    • This work offers a framework for analyzing complex dynamics in nonequilibrium systems.