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Mpemba effect in driven granular Maxwell gases.

Apurba Biswas1,2, V V Prasad3,4, O Raz3

  • 1The Institute of Mathematical Sciences, C.I.T. Campus, Taramani, Chennai 600113, India.

Physical Review. E
|August 16, 2020
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Summary
This summary is machine-generated.

The Mpemba effect, where hotter systems cool faster, is explored in a simplified granular gas model. This study finds the effect depends on initial conditions and gas composition, revealing a "strong Mpemba effect" in some cases.

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Area of Science:

  • Physics
  • Thermodynamics
  • Statistical Mechanics

Background:

  • The Mpemba effect describes the counterintuitive phenomenon where hotter systems can cool faster than cooler ones.
  • This effect has been observed in driven granular gases, prompting further theoretical investigation.

Purpose of the Study:

  • To investigate the Mpemba effect in the inelastic driven Maxwell gas model.
  • To determine the specific conditions and initial states that lead to the Mpemba effect in this simplified granular gas.

Main Methods:

  • An exact analysis was performed on the inelastic driven Maxwell gas model.
  • The model assumes collision rates are independent of relative velocity.

Main Results:

  • For monodispersed gases, the Mpemba effect is observed only with non-stationary initial states.
  • For bidispersed gases, the effect is present for certain steady-state initial conditions.
  • A strong Mpemba effect, characterized by exponentially faster relaxation, was demonstrated in bidispersed Maxwell gases.

Conclusions:

  • The presence of the Mpemba effect in the inelastic driven Maxwell gas is highly dependent on initial conditions and gas dispersity.
  • The study highlights the conditions under which a strong Mpemba effect can occur, offering insights into granular gas dynamics.