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Studying Large Amplitude Oscillatory Shear Response of Soft Materials
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Impurity in a sheared inelastic Maxwell gas.

Vicente Garzó1, Emmanuel Trizac

  • 1Departamento de Física, Universidad de Extremadura, E-06071 Badajoz, Spain. vicenteg@unex.es

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 10, 2012
PubMed
Summary
This summary is machine-generated.

This study explores impurity dynamics in sheared granular gases using the Boltzmann equation. Dissipation reveals new ordered phases, extending previous findings for Maxwell gases.

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Area of Science:

  • Statistical Mechanics
  • Nonlinear Dynamics
  • Granular Materials

Background:

  • Investigating impurity behavior in granular gases is crucial for understanding complex systems.
  • Shear flow drives granular gases far from equilibrium, leading to unique dynamics.

Purpose of the Study:

  • To analyze the dynamics of an impurity in a granular gas under uniform shear flow.
  • To identify nonequilibrium phase transitions and ordered phases in granular binary mixtures.

Main Methods:

  • Exact solution of the Boltzmann equation for inelastic Maxwell models.
  • Analysis of granular binary mixtures under arbitrary shear rates and parameters.

Main Results:

  • A nonequilibrium phase transition occurs in the tracer limit.
  • New ordered phases are identified where the impurity contributes to mixture properties.
  • Dissipation is shown to induce novel ordered phases.

Conclusions:

  • The study extends findings for ordinary Maxwell gases to inelastic granular systems.
  • Dissipative effects in granular gases lead to emergent ordered phases.
  • The research provides a detailed parameter space for these phenomena.