In statistical thermodynamics the 2nd law is properly spelled out in terms of conditioned probabilities. As such it makes the statement that “entropy increases with time” without preferring a time direction. In this paper we wish to explain and illustrate this statement in terms of the Ehrenfests’ urn model in a way that hopefully adds some clarifying aspects concerning the role of time-conditioned probabilities. We will relate past- and future-conditioned probabilities through Bayes’ rule, which allows us to explicitly state what is meant by time-reversal invariance in this context.
CITATION STYLE
Giulini, D. (2022). On the Statistical Viewpoint Concerning the Second Law of Thermodynamics—A Reminder on the Ehrenfests’ Urn Model. In Fundamental Theories of Physics (Vol. 204, pp. 225–242). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-88781-0_11
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