Many-particle behavior from probability.
Answer five questions about Statistical Physics and get instant feedback.
An imagined collection of many copies of the same system
Different ensembles (microcanonical, canonical, grand-canonical) match different lab conditions like fixed energy or fixed temperature, and they let you predict averages without tracking every particle.
What is higher when a situation can happen in more microscopic ways?
Boltzmann captured this with $S = k\ln W$: double the number of possible microstates $W$ and entropy rises by $k\ln 2$, like gas spreading out into a bigger box.
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Diffusion is random molecular motion producing a predictable spread from crowded to sparse regions.
What can match an enormous number of microstates?
In fact, entropy quantifies this multiplicity: $S = k_B \ln \Omega$, so a macrostate with larger $\Omega$ is overwhelmingly more likely to be observed.
What is defined by coarse-graining microscopic details into a few thermodynamic variables?
One macrostate typically corresponds to an astronomically large number of microstates, and its entropy is $S = k_B\ln\Omega$, which quantifies that hidden multiplicity.
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