Statistical Mechanics
نویسنده
چکیده
where pi ≡ p(x = i). If only M of the K states have non-zero probability and that probability is 1/M then S = logM . In this special case the entropy is the log of the number of occupied states. An analog of this special case in the continuous domain occurs in Liouville’s Theorem. This states that if the volume of phase space (i.e. of the x variable, but now multivariate and continuous) is some fixed value e.g. logM then after the system evolves the distribution over x will change but the volume will be preserved. The density within the volume is assumed uniform. Entropy can depend both on the state of a system itself and your knowledge of it (depending, presumably, on what distribution one is considering).
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