Markovian state dynamics are thermodynamically incomplete because reservoir-channel assignments can vary while leaving the master equation unchanged, yielding different heat currents, entropy production, and noise.
Spohn, Journal of Mathematical Physics19, 1227 (1978)
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Incompatible Hamiltonians enable higher average work extraction across multiple preparations than any classical commuting device, despite per-process free-energy bounds.
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Thermodynamic incompleteness of state dynamics in Markovian transport
Markovian state dynamics are thermodynamically incomplete because reservoir-channel assignments can vary while leaving the master equation unchanged, yielding different heat currents, entropy production, and noise.
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Quantum work beyond classical (commuting) limits
Incompatible Hamiltonians enable higher average work extraction across multiple preparations than any classical commuting device, despite per-process free-energy bounds.