zodiac
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Goldstein equation 1.33
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Newton's third axiom states $F_{ij}=-F_{ji}$. The potential energy between the particles is the pair potential satisfying $V(r_{ij})=V(r_{ji})$ The force acting on particle i due to particle j is ...

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One dimensional paramagnet
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So i figured it out now. There was as stupid sign error and the expansion of the squared bracket was wrong $$ \langle m_{N}^{2}\rangle-\langle m_{N}\rangle^{2}= \frac{1}{N}\sum_{i=1}^{N}\langle s_{i}...

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Obtain Magnetization from derivatives
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I was asking the same question in the mathematics forum and they figured out an answer for me: https://math.stackexchange.com/questions/2940391/obtain-function-from-its-partial-derivatives For ...

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Microcanonical Ensemble of a two state system
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I figured my problem now out maybe it is also of interest for others. I have in total N labeled particles and hence I can arrange them in $N!$ ways. Now I distribute the particles in two boxes. The ...

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Distributing distinguishable particles in dinstinguishable boxes and computing canonical partition function
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Based on Harrys comments I would like to answer this question to close this thread. It does not matter in which order I put the labeled particles in to the boxes since there are no drawers in the ...

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Pressure and Temperature of mechanically and diathermic connected vessels
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So I figured out an answer now. Since the question can only be answered if the System is in thermal equilibrium because otherwise the long arm would fluctuate until it reaches equilibrium. Therefore ...

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Adiabatic expansion of ideal gas
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The comments are answering my question very nicely. Therefore to close this question which is not possible as far as I know without having an answer thread. I just want to summarize the comments of ...

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