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Area of Science:

  • Mathematical Physics
  • Wave Propagation
  • Stochastic Processes

Background:

  • The stochastic telegrapher's equation models systems with abrupt changes.
  • Understanding wave transport in fluctuating media is crucial for various applications.

Purpose of the Study:

  • To analyze the impact of energy absorption fluctuations on plane-wave modes.
  • To investigate the delocalization of plane-wave modes due to these fluctuations.

Main Methods:

  • Derived exact solutions for the stochastic telegrapher's equation.
  • Introduced and analyzed Fourier plane-wave-like modes.
  • Studied the time evolution of these modes under fluctuating absorption.

Main Results:

  • Fluctuations in energy loss create a localized gap, dependent on fluctuation correlation time.
  • Increased correlation time significantly reduces this gap, leading to delocalization of plane-wave modes.
  • Observed delocalization contrasts with the behavior of plane waves in the standard telegrapher's equation.

Conclusions:

  • Energy absorption fluctuations play a critical role in wave transport dynamics.
  • These fluctuations can induce delocalization, impacting wave propagation in conducting media.
  • The findings offer insights into the functional role of energy loss fluctuations in stochastic systems.