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Area of Science:

  • Statistical physics
  • Condensed matter theory
  • Complex networks

Background:

  • Negative mobility observed in some physical systems.
  • Disorder effects on transport phenomena are crucial.
  • Stochastic networks offer a simplified model for complex systems.

Purpose of the Study:

  • To analyze prototype configurations of quasi-one-dimensional stochastic networks exhibiting negative mobility.
  • To investigate the impact of disorder on network behavior.
  • To determine the influence of bias thresholds on current transitions and relaxation dynamics.

Main Methods:

  • Theoretical analysis of stochastic network models.
  • Investigation of negative mobility phenomena.
  • Study of bias thresholds and disorder effects.
  • Analysis of relaxation spectrum and delocalization effects.

Main Results:

  • Identified prototype configurations for negative mobility in quasi-one-dimensional networks.
  • Demonstrated that bias thresholds can restrict nonzero current (sliding and antisliding transitions).
  • Observed a delocalization effect, indicated by a crossover from over-damped to under-damped relaxation due to disorder.
  • Provided a detailed analysis of the relaxation spectrum as a function of bias for different disorder types.

Conclusions:

  • Negative mobility in these networks is sensitive to bias and disorder.
  • Bias thresholds play a critical role in defining transport regimes.
  • Disorder can induce significant changes in relaxation dynamics, leading to delocalization.