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Current-activity versus local-current fluctuations in a driven flow with exclusion.

S L A de Queiroz1

  • 1Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, 21941-972 Rio de Janeiro RJ, Brazil. sldq@if.ufrj.br

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 11, 2012
PubMed
Summary
This summary is machine-generated.

We studied current activity and local current fluctuations in a 1D exclusion process. System-wide activity misses subtle scaling effects seen in local current, impacting skewness analysis.

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Area of Science:

  • Statistical Mechanics
  • Many-Body Physics
  • Non-equilibrium Systems

Background:

  • The one-dimensional totally asymmetric simple exclusion process (1D TASEP) is a fundamental model for studying driven diffusive systems.
  • Understanding current fluctuations and their statistical properties is crucial for characterizing non-equilibrium phenomena.
  • Previous studies have explored various aspects of TASEP, but reconciling different observations regarding current distribution skewness remains an area of interest.

Purpose of the Study:

  • To analyze and compare fluctuations of steady-state current activity and local current in the 1D TASEP.
  • To investigate the reasons behind the differing scaling behaviors observed for system-wide activity versus local current.
  • To reconcile apparently conflicting results regarding the skewness of current distribution in different phases of the TASEP.

Main Methods:

  • Theoretical analysis of cumulants for integrated activity and local current.
  • Comparison of scaling behaviors in the maximal-current phase and its boundaries.
  • Investigation of the role of equal-time versus unequal-time correlations in determining scaling properties.

Main Results:

  • Cumulants of integrated activity mirror those of local current but miss anomalous scaling in the maximal-current phase.
  • System-wide, equal-time sampling of activity obscures subtle effects from unequal-time correlations responsible for anomalous scaling.
  • Skewness of distributions for both activity and local current can be reconciled, showing positive skew in the low-current phase and negative skew elsewhere.

Conclusions:

  • Instantaneous activity measurements, while simpler, do not fully capture the complex scaling dynamics present in local current measurements.
  • Unequal-time correlations are essential for understanding anomalous scaling phenomena in the 1D TASEP.
  • A unified understanding of current distribution skewness is achieved across different phases of the 1D TASEP.