Velocity Distribution function of molecule at low temperature

In summary, the conversation discusses the use of classical molecular dynamics simulation for generating initial velocities, and the question of whether there is a similar method for low temperatures that takes into account quantum effects. A link is provided for further information.
  • #1
aihaike
55
0
Dear all,

In classical molecular dynamics simulation initial velocities are generated using the so called Maxwell distribution.
At low temperature it's no longer effective, so I'm wandering whether there is a similar way to generate velocities at low temperature taking into account quantum effects, like using the Fermi-dirac distribution ?

Thank you,

Éric.
 
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  • #2
http://www.ecse.rpi.edu/~schubert/Course-ECSE-6968%20Quantum%20mechanics/Ch13%20Semiconductor%20statistics.pdf

^I think you may find the answer you're looking for on page 11. Hope it helps!
 
Last edited by a moderator:
  • #3
interesting link, thank you.

How to close the thread?
 
Last edited:
  • #4
Not sure, I think mods do that. In any case, eventually, people will stop answering once a question has been answered, so it falls off the page pretty quickly.
 

What is the Velocity Distribution Function of Molecules at Low Temperature?

The Velocity Distribution Function of Molecules at Low Temperature is a mathematical function that describes the probability of a molecule having a certain velocity at a given temperature. It takes into account the Maxwell-Boltzmann distribution and the effects of quantum mechanics at low temperatures.

Why is the Velocity Distribution Function Important?

The Velocity Distribution Function is important because it allows scientists to predict the behavior of molecules at low temperatures. It helps in understanding the distribution of molecular velocities and how they affect various physical and chemical processes.

How is the Velocity Distribution Function Affected by Temperature?

The Velocity Distribution Function is directly affected by temperature. As temperature decreases, the average velocity of molecules decreases and the distribution of velocities becomes narrower. At extremely low temperatures, the distribution becomes a delta function, with all molecules having the same velocity.

What is the Relationship between the Velocity Distribution Function and Kinetic Energy?

The Velocity Distribution Function is directly related to the kinetic energy of molecules. As the velocity of molecules increases, so does their kinetic energy. The Velocity Distribution Function can be used to calculate the average kinetic energy of a group of molecules at a given temperature.

What Are Some Applications of the Velocity Distribution Function?

The Velocity Distribution Function has many applications in physics and chemistry. It is used to understand the behavior of gases, the diffusion of molecules, and the rates of chemical reactions. It is also crucial in fields such as thermodynamics, atmospheric science, and astrophysics.

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