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Transient and Steady-state Response01:24

Transient and Steady-state Response

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In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
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Bimodal response in periodically driven diffusive systems.

Urna Basu1, Debasish Chaudhuri, P K Mohanty

  • 1TCMP Division, Saha Institute of Nuclear Physics, 1/AF Bidhan Nagar, Kolkata 700064, India. urna.basu@saha.ac.in

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 27, 2011
PubMed
Summary
This summary is machine-generated.

We investigated how one-dimensional diffusive systems respond to periodic driving. A frequency-dependent crossover in particle behavior was observed, transitioning between short and long wavelength modes.

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Area of Science:

  • Statistical mechanics
  • Condensed matter physics
  • Non-equilibrium systems

Background:

  • Diffusive systems with particle interactions are fundamental in physics.
  • Understanding their response to external driving is crucial for non-equilibrium statistical mechanics.
  • Exclusion processes model various physical phenomena, including transport and phase transitions.

Purpose of the Study:

  • To analyze the dynamical response of 1D diffusive systems to time-periodic driving.
  • To characterize the system's behavior using the structure factor.
  • To investigate the frequency-dependent crossover phenomena in driven diffusive systems.

Main Methods:

  • Simulations of one-dimensional diffusive systems with symmetric or asymmetric exclusion.
  • Analysis of the system's dynamical response via the structure factor.
  • Analytical calculations to determine the behavior's universality.

Main Results:

  • Observed a frequency-dependent crossover in the system's dynamical response.
  • Identified a transition between short and long wavelength modes for current-carrying majority excitons.
  • Found that this boundary-driven effect decays inversely with system size.

Conclusions:

  • The observed crossover behavior is a general feature of diffusive systems.
  • This phenomenon is present regardless of particle correlations.
  • Boundary driving significantly influences the collective behavior of 1D diffusive systems.