Energy Distribution of Particles in a Liquid

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SUMMARY

The discussion centers on the energy distribution of particles in a liquid, specifically addressing the probability of collisions with particles of a certain energy ε. Participants explore the inadequacy of the Maxwell-Boltzmann distribution for liquids, suggesting that the term "fluid" may be more appropriate. The conversation also touches on the potential application of the Van der Waals equation to describe liquid behavior, although its relevance remains unclear. Ultimately, the consensus is that a general formula akin to the Maxwell-Boltzmann distribution does not exist for liquids.

PREREQUISITES
  • Understanding of particle dynamics in fluids
  • Familiarity with the Maxwell-Boltzmann distribution
  • Knowledge of the Van der Waals equation
  • Basic concepts of statistical mechanics
NEXT STEPS
  • Research the energy distribution of particles in fluids
  • Study the limitations of the Maxwell-Boltzmann distribution in non-ideal gases
  • Explore alternative models for liquid particle interactions
  • Investigate statistical mechanics approaches to fluid dynamics
USEFUL FOR

Researchers in fluid dynamics, physicists studying statistical mechanics, and anyone interested in the behavior of particles in liquid environments.

Ahmes
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If I'm a small particle in a liquid in temperature T, molecules from every direction collide in me f times per second, what is the probability that I'll collide with a particle with energy ε? What is the average energy for collisions?

I think I can rephrase it to "how many times per second there will be collision with energy ε±Δε?" or "what is the energy distribution of particles in a liquid?"

If it were gas, the answer would be given by the Maxwell-Boltzmann distribution, but it is a (very general) liquid. Can someone help?

Thanks!
 
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I believe that the term "liquid" sends you astray. You should replace it with "fluid".
 
I don't really get the hint...
Do you suggest that a liquid phase can be treated through the Van der Waals equation? (Not that I see how it helps so fast)
After more searching I truly doubt now that a general formula like the Maxwell-Boltzmann speed distribution exists at all... Am I wrong?
 

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