Is There a Name for the Relation Between Energy and Degrees of Freedom?

pivoxa15 · 2007-03-26T10:26:23+00:00

.5m =(f/2)kT f is the no. of degrees of freedom.

Thread starter pivoxa15
Start date Mar 26, 2007
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The discussion centers on the relationship between energy and degrees of freedom, specifically referencing the equation 0.5m<v^2>=(f/2)kT. The key concept identified is the equipartition theorem, which states that the average kinetic energy per degree of freedom is 1/2kT. This theorem illustrates how energy is distributed among the various degrees of freedom in a system. The conversation confirms the connection between the equation and the principles of the equipartition theorem. Understanding this relationship is fundamental in statistical mechanics and thermodynamics.

Mar 26, 2007

pivoxa15

.5m<v^2>=(f/2)kT

f is the no. of degrees of freedom.

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Mar 26, 2007

vanesch

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I think it is called the equipartition theorem.

Mar 26, 2007

Mentz114

Yes, the equipartition theorem is stated thus

'the average kinetic energy per degree of freedom is 1/2kT'

Thread 'Eigenvalues of a "unusual" Hamiltonian of a harmonic oscillator'

for d), I am a bit confused. I have two trains of thoughts here any thoughts on which answer is correct, and why the other one is incorrect? Both seem like valid solutions to me. Or is the question ambiguous? thanks

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