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Dynamic correlations of macroscopic quantities.

Olivier Pierre-Louis1

  • 1CNRS/Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, Oxford, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 1, 2008
PubMed
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This study analyzes fluctuations in one-dimensional systems, revealing that macroscopic quantities can show universal diffusive behavior not seen in local quantities, even at equilibrium.

Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Theoretical Physics

Background:

  • Macroscopic quantities in one-dimensional systems, such as interface roughness and filament length, are crucial for understanding material properties.
  • Analyzing the dynamics of these quantities provides insights into system behavior at different scales.

Purpose of the Study:

  • To analyze the dynamics of fluctuations for a family of macroscopic quantities in one-dimensional systems.
  • To investigate the relationship between macroscopic and local quantity fluctuations at thermodynamic equilibrium.

Main Methods:

  • Analysis of time-correlation functions for macroscopic quantities.
  • Expression of macroscopic correlations in terms of local quantity correlations.
  • Investigation of fluctuation dynamics in one-dimensional systems.

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Main Results:

  • Time-correlation functions of macroscopic quantities can be derived from those of local quantities at thermodynamic equilibrium.
  • Macroscopic quantities in some one-dimensional systems exhibit universal diffusive behavior.
  • This universal diffusive behavior is not observed in the corresponding local quantities.

Conclusions:

  • The study establishes a connection between macroscopic and local dynamics in one-dimensional systems.
  • Universal diffusive behavior is a key characteristic of macroscopic quantities in certain one-dimensional systems.
  • A distinction exists between the dynamic behaviors of macroscopic and local quantities.