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Results tagged with statistical-mechanics
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user 325112
The study of large, complicated systems employing statistics and probability theory to extract average properties and to provide a connection between mechanics and thermodynamics.
1
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130
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Difference between number of modes and number of states
If we look, e.g. at the Debye model, we can calculate the number of modes by summing over all wave vectors and multiplying with $3$ for the longitudinal and transversal modes:
$$\#\mathrm{modes}=3\sum …
- 405
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27
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DOS for arbitrary volume
One can easily derive for the Density of States (DOS) of photons $D(\omega)=\frac{V\omega^2}{\pi^2c^3}$ by assuming that the volume is a cube. Is it possible to apply this formula also for different v …
- 405
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Ising model approximation of partition sum
If we consider the Ising model without magnetic field and without periodic boundary conditions we get for the partition sum $Z_N=2(2\cosh(K))^{N-1}$ ($K$ is dimensionless coupling). Why can we then sa …
- 405
2
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2
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311
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Intuitive reason why mean energy is fixed in canonical ensemble [duplicate]
I know that the canonical ensemble can be derived by maximizing the entropy under the constraint that the mean of the energy is fixed. But is there an intuitive reason for that?
- 405
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111
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Holding things constant in Statistical Physics for differentiation
I just want to know if the following is correct:
If one wants to verify e.g. the Maxwell relation for the ideal gas $$\left(\frac{\partial T}{\partial V}\right)_{S,N}=- \left(\frac{\partial p}{\partia …
- 405
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Why is the occupation of harmonic oscillator the Bose function?
Is there an intuitive reason why the occupation for the harmonic oscillator is the Bose distribution? I know that a QM-oscillator with commutation relations is a bosonic system but I have no intuition …
- 405