Nonequilibrium fluctuation-dissipation relations of interacting Brownian particles driven by shear

Krüger, Matthias; Fuchs, Matthias

Nonequilibrium fluctuation-dissipation relations of interacting Brownian particles driven by shear

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127380.pdfGröße: 4.82 MBDownloads: 567

Datum

2010

Open Access-Veröffentlichung

Open Access Green

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Physik

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Zeitschriftenartikel

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Published

Erschienen in

Physical review E. 2010, 81(1), 011408. Available under: doi: 10.1103/PhysRevE.81.011408

Zusammenfassung

We present a detailed analysis of the fluctuation-dissipation theorem (FDT) close to the glass transition in colloidal suspensions under steady shear using mode coupling approximations. Starting point is the many-particle Smoluchowski equation. Under shear, detailed balance is broken and the response functions in the stationary state are smaller at long times than estimated from the equilibrium FDT. An asymptotically constant relation connects response and fluctuations during the shear driven decay, restoring the form of the FDT with, however, a ratio different from the equilibrium one. At short times, the equilibrium FDT holds. We follow two independent approaches whose results are in qualitative agreement. To discuss the derived fluctuation-dissipation ratios, we show an exact reformulation of the susceptibility which contains not the full Smoluchowski operator as in equilibrium, but only its well defined Hermitian part. This Hermitian part can be interpreted as governing the dynamics in the frame comoving with the probability current. We present a simple toy model which illustrates the FDT violation in the sheared colloidal system.

Fachgebiet (DDC)

530 Physik

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ISO 690

KRÜGER, Matthias, Matthias FUCHS, 2010. Nonequilibrium fluctuation-dissipation relations of interacting Brownian particles driven by shear. In: Physical review E. 2010, 81(1), 011408. Available under: doi: 10.1103/PhysRevE.81.011408

BibTex

@article{Kruger2010Noneq-5125,
  year={2010},
  doi={10.1103/PhysRevE.81.011408},
  title={Nonequilibrium fluctuation-dissipation relations of interacting Brownian particles driven by shear},
  number={1},
  volume={81},
  journal={Physical review E},
  author={Krüger, Matthias and Fuchs, Matthias},
  note={Article Number: 011408}
}

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