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Related Experiment Video

Updated: Mar 21, 2026

Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Comment on "Generalized exclusion processes: Transport coefficients".

T Becker1, K Nelissen1,2, B Cleuren1

  • 1Hasselt University, B-3590 Diepenbeek, Belgium.

Physical Review. E
|May 14, 2016
PubMed
Summary
This summary is machine-generated.

This comment critiques Arita et al.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Non-equilibrium Systems

Background:

  • Arita et al. studied generalized exclusion processes and derived analytical expressions for transport-diffusion coefficients.
  • Their work claimed these expressions become exact in the hydrodynamic limit, neglecting correlations.

Purpose of the Study:

  • To comment on the findings presented by Arita et al. in Phys. Rev. E 90, 052108 (2014).
  • To highlight the persistent influence of correlations in the hydrodynamic limit.
  • To contextualize Arita et al.'s diffusion expressions within broader theoretical frameworks.

Main Methods:

  • Theoretical analysis and comparison of analytical expressions.
  • Critique of assumptions regarding correlation effects in the hydrodynamic limit.
  • Referencing and extending prior work by Becker et al. (Phys. Rev. Lett. 111, 110601 (2013)).

Main Results:

  • The influence of correlations on diffusion does not vanish in the hydrodynamic limit.
  • The self- and transport diffusion coefficients derived by Arita et al. are shown to be specific instances of more general results.
  • Arita et al.'s findings are a subset of the theoretical framework established by Becker et al.

Conclusions:

  • The claim that correlations become negligible in the hydrodynamic limit for these processes is inaccurate.
  • The analytical expressions for diffusion coefficients by Arita et al. are not universally applicable as suggested.
  • Further theoretical development is needed to fully capture correlation effects in generalized exclusion processes.