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Finite-size effects on current correlation functions.

Shunda Chen1, Yong Zhang1, Jiao Wang1

  • 1Department of Physics and Institute of Theoretical Physics and Astrophysics, Xiamen University, Xiamen 361005, Fujian, China.

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Summary
This summary is machine-generated.

Finite-size effects in current correlation functions (CCFs) are studied. Recurrence and sound mode collisions cause oscillations and faster decay in smaller systems, revealing mechanisms for accurate CCF evaluation.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Computational Physics

Background:

  • Current correlation functions (CCFs) are crucial for understanding system dynamics.
  • Finite-size effects often complicate CCF calculations, even with periodic boundary conditions.

Purpose of the Study:

  • Investigate the origins of finite-size effects in CCFs.
  • Develop a method for accurate CCF decay rate evaluation.

Main Methods:

  • Analysis of two 1D momentum-conserving systems.
  • Examination of system state recurrence and sound mode collisions.

Main Results:

  • System state recurrence leads to oscillations in CCFs.
  • Sound mode collisions induce extra time decay, affecting CCF behavior based on system size.
  • Proposed procedure for correct CCF decay rate evaluation.

Conclusions:

  • Finite-size effects in CCFs are explained by state recurrence and sound mode collisions.
  • The study provides a framework for accurate CCF analysis in 1D systems.
  • Specific decay rates are predicted for the diatomic hard-core gas and Fermi-Pasta-Ulam-β models.