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2018-07-18: The Misunderstood Nature of Entropy
- 04:45: For a given macrostate, all microstates consistent with its thermodynamic properties are equally likely.
- 04:52: ... some macrostates, there are lots of different microstates or arrangements of particles that lead to roughly the same thermodynamic ...
- 05:06: ... a system to do its own thing, it'll eventually try out all possible microstates that are possible given the laws of ...
- 05:18: So if you look at the system at some random point in time, it'll be in a completely random microstate chosen from all possible microstates.
- 05:29: Well, probably the one that's consistent with the most microstates.
- 05:59: Some microstates are weird though, and they give different macrostates because they're different average distributions.
- 06:09: That microstate is a factor of 2 times 10 to the power of 107 less likely than one of the many smoothly mixed microstates.
- 07:47: ... equation tells us that entropy is the logarithm of the number of microstates consistent with the current macrostate times the Boltzmann ...
- 08:04: ... the way, there are certain special microstates, special arrangements of particles that look highly ordered but are still ...
- 08:49: So the macrostate that defines thermodynamic equilibrium is, by definition, the one with the most microstates, which also means the maximum entropy.
- 09:24: In both cases, you are reducing the number of accessible microstates which, by definition, must reduce entropy.
- 10:45: ... future, but for now, please be careful to keep your number of accessible microstates low, avoid thermal equilibrium, and keep being that brilliant macrostate ...
- 04:45: For a given macrostate, all microstates consistent with its thermodynamic properties are equally likely.
- 07:47: ... equation tells us that entropy is the logarithm of the number of microstates consistent with the current macrostate times the Boltzmann ...
- 10:45: ... future, but for now, please be careful to keep your number of accessible microstates low, avoid thermal equilibrium, and keep being that brilliant macrostate that ...
- 08:04: ... the way, there are certain special microstates, special arrangements of particles that look highly ordered but are still ...
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