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Is particle number a problem for formulating statistical physics in a mathematically rigorous manner?
Quantities like the chemical potential can be expressed as something like
$$\mu=-T\left(\tfrac{\partial S}{\partial N}\right)_{E,V}.$$
Now the entropy is the log some volume, which depends on the ...
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What does it mean for a phase space trajectory to be “long” and “stable”?
What does it mean for a phase space trajectory to be "long" and "stable"?
I understand the concept of a trajectory in phase space but not how these adjectives can be applied to one.
Thanks.
