The book has a good general treatment of statistical mechanics. A lot more details in the text, and examples of micro states (discussion in the context of quantum as well, leading up to density of states). The constant of proportionality is $k_B$. Carter then says that the only function that satisfies this property is the natural logarithm, so $S\propto ln(w)$. The likelihood of being in micro state $w$ is just $w_A \cdot w_B$, since independent probabilities are multiplicative. If two systems are combined, the total entropy is just $S = S_A + S_B$, or $f(w) = f(w_A) + f(w_B)$. Micro states represent the probability of being in the macro state (they just need to be normalized). A macro state can be achieved using a number of different micro states ($w$). To summarize from that book:Įntropy ($S$) corresponds to a particular configuration of an ensemble of particles called a macro state. chapter 12 of "Classical and Statistical Thermodynamics" by Ashley H. I believe it was Boltzmann who first made the connection between entropy and micro states.
0 kommentar(er)
