Negative entropy production rates in Drude-Sommerfeld metals

Abstract

It is a commonly accepted creed that in typical situations the rate of entropy production is non-negative. We show that this assertion is not entirely correct if a time-dependent, external perturbation is not compensated by a rapid enough decay of the response function. This is demonstrated for three variants of the Drude model to describe electrical conduction in noble metals, namely the classical free electron gas, the Drude-Sommerfeld model, and the Extended Drude-Sommerfeld model. The analysis is concluded with a discussion of potential experimental verifications and ramifications of negative entropy production rates.

arXiv comment6+4 pages, 10 figures

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Cited by in corpus (9)

• Quantum Foundations of Classical Reversible Computing
• Heat current and entropy production rate in local non-Markovian quantum dynamics of global Markovian evolution
• Adiabatic processes like isothermal processes
• Fluctuation theorem for irreversible entropy production in electrical conduction
• Multiparty Spohn's theorem for a combination of local Markovian and non-Markovian quantum dynamics
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• Entropy production in non-Markovian collision models: Information backflow vs system-environment correlations
• Kibble-Zurek scaling from linear response theory
• Quantum refrigerator embedded in spin-star environments: Scalings of temperature and refrigeration time