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Since the density matrix is symmetric, we have the completeness relation Pd i=1 |δϕi⟩ ⟨δϕi| =

Another special case are maximally mixed states ϱmax = d−1 dX i=1 |δϕi⟩ ⟨δϕi| (maximally mixed) (12) with a complete a set of equally weighted basis states, pi = 1 /d

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Phase space contraction rate for classical mixed states

cond-mat.stat-mech · 2025-02-13 · reject · novelty 4.0

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 cond-mat.stat-mech · 2025-02-13 · reject · none · ref 1

    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.