For dissipative classical systems, the paper defines a mixed-state phase space contraction rate Λm = 1/2 d ln|ϱ|/dt and equates it with a local Gibbs entropy rate.
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Phase space contraction rate for classical mixed states
For dissipative classical systems, the paper defines a mixed-state phase space contraction rate Λm = 1/2 d ln|ϱ|/dt and equates it with a local Gibbs entropy rate.