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Anomalous pressure in fluctuating shear flow.

Hirofumi Wada1, Shin-ichi Sasa

  • 1Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033, Japan. wada@daisy.phys.s.u-tokyo.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 26, 2005
PubMed
Summary

We studied shear flow pressure using fluctuating hydrodynamics. Pressure is intensive only at high shear rates (lambda >> 1) due to suppressed long-range correlations.

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Area of Science:

  • Fluid dynamics
  • Statistical mechanics
  • Non-equilibrium systems

Background:

  • Shear flow is crucial in fluid dynamics.
  • Understanding pressure behavior in fluctuating systems is key.
  • Long-range correlations can affect system properties.

Purpose of the Study:

  • Investigate pressure dependence on shear rate (S) and system size (L).
  • Analyze fluctuating hydrodynamics under shear.
  • Determine conditions for pressure intensivity.

Main Methods:

  • Fluctuating hydrodynamics simulations.
  • Derivation of anomalous pressure forms.
  • Analysis of dimensionless parameter lambda = SL^2/nu.

Main Results:

  • Pressure is non-intensive for lambda << 1 due to long-range correlations.
  • Pressure is intensive for lambda >> 1 as correlations are suppressed.
  • Non-equilibrium pressure correction is proportional to S^(3/2) for lambda >> 1.

Conclusions:

  • Shear flow pressure behavior is system-size and shear-rate dependent.
  • Intensive pressure is achieved at high shear rates.
  • Confirms previous findings on non-equilibrium corrections.

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