The unitarity of the universe's transition matrix implies this law because this law is a property ofdoubly stochastic Markov chains.
The unitarity of the universe's transition matrix implies this law because this law is a property ofdoubly stochastic Markov chains. This law is apparently in conflict with the Poincare recurrencetheorem. One consequence of this law is that the Onsager matrix is positive semi-definite, and thislaw's apparent violation of T-symmetry can be resolved using (*) Boltzmann's H-theorem. One versionof this law states that the line integral of dQ over T over a closed path is equal to or less than zero; thatstatement is Clausius' inequality. This statement limits the efficiency of the Carnot cycle and is apparentlyviolated by Maxwell's demon. For 10 points, name this statement that says in a closed system the entropymust always increase.
The unitarity of the universe's transition matrix implies this law because this law is a property ofdoubly stochastic Markov chains.
second law of thermodynamics [accept Clausius inequality before mention]