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Measurement & Analysis of the Temporal Discrimination Threshold Applied to Cervical Dystonia
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Contact process with temporal disorder.

Hatem Barghathi1, Thomas Vojta1, José A Hoyos2

  • 1Department of Physics, Missouri University of Science and Technology, Rolla, Missouri 65409, USA.

Physical Review. E
|September 15, 2016
PubMed
Summary
This summary is machine-generated.

Temporal disorder in the contact process creates an exotic critical point with infinitely broad density distributions. This infinite-noise behavior mirrors spatial disorder but with reversed roles for time and space.

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Area of Science:

  • Statistical Physics
  • Complex Systems

Background:

  • The contact process is a fundamental model for phenomena like epidemic spreading.
  • Understanding nonequilibrium phase transitions is crucial for complex systems.
  • Environmental noise, or disorder, significantly impacts system dynamics.

Purpose of the Study:

  • To investigate the effect of time-varying environmental noise (temporal disorder) on the contact process's nonequilibrium phase transition.
  • To characterize the critical behavior induced by temporal disorder.

Main Methods:

  • Real-time renormalization group analysis
  • Scaling theory
  • Large-scale Monte Carlo simulations in 1D and 2D

Main Results:

  • Temporal disorder leads to an exotic critical point.
  • At criticality, effective noise diverges, and density distributions become infinitely broad.
  • Average density and survival probability exhibit logarithmic decay with time.

Conclusions:

  • The observed infinite-noise critical behavior is the temporal analog of infinite-randomness criticality in spatial systems.
  • Results offer insights into disordered systems and suggest potential experimental avenues.